Publications

1.          Extension of Baker's analogue of Littlewood's diophantine approximation problem, Kodai Math. J.  14 (1991), 335--340.

2.          On the characteristic word of the inhomogeneous Beatty sequence, Bull. Austral. Math. Soc.  51 (1995), 337--351.

3.          The fractional part of n+ and Beatty sequences, J. Theorie des Nombres de Bordeaux  7 (1995), 387--406.

4.          A certain power series and the inhomogeneous continued fraction expansions, J. Number Theory  59 (1996), 291--312.

5.          A certain power series associated with a Beatty sequence, Acta Arith.  76 (1996), 109--129.

6.          (with A. J. van der Poorten)  Substitution invariant Beatty sequences, Japan. J. Math.  22 (1996), 349--354. 

7.          The sum of consecutive fractional parts, Tsukuba J. Math. 21  (1997), 129--137. 

8.          On inhomogeneous continued fraction expansion and inhomogeneous Diophantine approximation, J. Number Theory  62 (1997), 192--212. 

9.          On inhomogeneous Diophantine approximation and the Nishioka-Shiokawa

-Tamura algorithm,  Acta Arith.  86 (1998), 305--324.

10.     Substitution invariant inhomogeneous Beatty sequences,  Tokyo J. Math.  22 (1999),  235--243 . @

11.     On inhomogeneous Diophantine approximation  and the NST algorithm, Developments in Math. 2 (1999),  241--251  = 'Number Theory and its Applications', ed. by K. Gyory and S. Kanemitsu, Kluwer Academic.

12.     On inhomogeneous Diophantine approximation  with some quasi-periodic expressions,  Acta Math.  Hung.  85 (1999),  311--330. @

13.     On inhomogeneous Diophantine approximation  with some quasi-periodic expressions II,  J. Theorie des Nombres de Bordeaux  11 (1999),  331--344.

14.     Continued fractions and Newton's approximations, Math. Communications 4 (1999),  167--176. @

15.     On palindromic sequences from irrational numbers, Fibonacci Quart.  39  (2001),  66--74. 

16.     Continued fractions and Newton's approximations II, Fibonacci Quart.  39  (2001),  336--338. 

17.     (with M. Beck and I. M. Gessel)  The polynomial part of a restricted partition function related to the Frobenius problem,  Electronic. J. Combinatorics 8  (No.1) (2001), #N7.

18.     An approximation property of quadratic irrationals,   Bull. Soc. Math.@France 135  (2002),  35--48.

19.     On inhomogeneous Diophantine approximation  and the Borweins'  algorithm II,  Developments in Math. 6 (2002),  223--242  = 'Analytic Number Theory', ed. by C. Jia and K. Matsumoto, Kluwer Academic.

20.     The interval associated with a Fibonacci number,  Fibonacci Quart.  41   (2003),  3 - 6.

21.     On Tasoev's continued fractions,  Math. Proc. Cambridge Philos. Soc.  134  (2003),  1 - 12. 

22.     On Hurwitzian and Tasoev's continued fractions,   Acta Arith. 107  (2003),  161 - 177.   

23.     Simple continued fraction expansions of some values of certain hypergeometric functions,  Tsukuba J. Math. 27  (2003),  161 - 173. 

24.     On the number of solutions of the Diophantine equation of Frobenius--General case, Math. Communications 8 (2003),  195- 206.

25.     Recurrence relations of the leaping convergents, JP J. Algebra Number Theory  Appl.  3 (2003),  447 - 459.

26.     On inhomogeneous Diophantine approximation  and the Borweins'  algorithm,  Far East J. Math. Sci. (FJMS)  12  (2004),  203 - 224.   

27.     Arithmetic properties of the leaping convergents of e^(1/s),  Tokyo J. Math. 27  (2004), 1--12.  

28.     Tasoev's continued fractions and Rogers-Ramanujan continued fractions,    J. Number Theory , 109  (2004),  27 - 40. 

29.     Rational approximations to Tasoev continued fractions, Math. Pannon. 15  (2004),  199--207.

30.     On a Zaremba's conjecture for powers, Sarajevo J. Math. 1(13) (2005) , 9--13.    OEIS                   

31.     Rational approximations to Tasoev continued fractions,II, Liet. Mat. Rink. 45  (2005),  84--94.

32.     Hurwitz and Tasoev continued fractions,  Monatsh. Math.  145  (2005),  47--60.

33.     An algorithm of infinite sums representations and Tasoev continued fractions, Math. Comp. 74 (2005),  2081--2094. 

34.     Some recognizable forms of simple continued fractions, International J.  Math. Sci.  4  (2005), 47--63.

35.     Hurwitz and Tasoev continued fractions with long period,  Math. Pannon. 17  (2006), 91--110.

36.     Some recognizable forms of simple continued fractions,II,  Rev. Roum. Math. Pures Appl.(RRMPA)  51  (2006), 219--238.

37.     Continued fraction of e2 with confluent hypergeometric functions,  Liet. Mat. Rink. 46 (2006),  513--531. 

38.     A proof of the continued fraction expansion of e^(2/s), INTEGERS 7 (2007), #A30 (8 pages).

39.     Some combinatorial properties of the leaping convergents,   Combinatorial  Number Theory , Proceedings of the Integers Conference 2005 in Celebration of the 70th Birthday of Ronald Graham, Carrollton, Georgia, USA, October 27--30,2005, eds. by B. M. Landman, M. B. Nathanson, J. Nesetril, R. J. Nowakowski and C. Pomerance, Walter de Gruyter, 2007, pp.315--325.   = INTEGERS 7 (2) (2007), #A21 (10 pages).

40.     Hurwitz continued fractions with confluent hypergeometric functions,  Czech. Math. J. 57 (2007), 919--932. 

41.     (with C. Elsner and I. Shiokawa)  Approximation of values of hyperbolic functions by restricted rationals, J. Theorie des Nombres de Bordeaux  19  (2007), 393--404. 

42.     (with C. Elsner)  A recurrence formula for leaping convergents of non-regular continued fractions, Linear Algebra Appl. 428  (2008), 824--833. 

43.     Heron's square root approximations, JP J. Algebra Number Theory  Appl.  10 (2008),  81 - 88.

44.     Tasoev continued fractions with long period,  Far East J. Math. Sci. (FJMS)  28  (2008),  89 - 121.   

45.     (with C. Elsner)  On the residue classes of integer sequences satisfying a linear three-term recurrence formula, Linear Algebra Appl. 429  (2008), 933--947. 

46.     More on Hurwitz and Tasoev continued fractions, Sarajevo J. Math. 4 (2008), 155--180. 

47.     Shrinking the period length of quasi-periodic continued fractions, J. Number Theory   129  (2009),  358 - 366.  

48.     A Diophantine approximation of e^(1/s) in terms of integrals, Tokyo J. Math. 32  (2009), 159--176. 

49.     Diophantine approximations of tanh, tan, and linear forms of e in terms of integrals, Rev. Roum. Math. Pures Appl.(RRMPA)  54  (2009),  223--242.  

50.     (with C. Elsner and I. Shiokawa)  On convergents formed from Diophantine equations, Glasnik Mat.  44 (2009),  267--284.    

51.     On continued fraction expansions of Fibonacci and Lucas Dirichlet series,  Fibonacci Quart. 46/47 (2008/2009),  268 -- 278.  

52.     (wtih C. K. Caldwell)  Some periodicities in the continued fraction expansions of Fibonacci and Lucas Dirichlet series, Fibonacci Quart.   48 (2010),  47 -- 55. 

53.     (with T. Chaichana and V. Laohakosol) Liouville numbers in non-Archimedean situation,  Publ. Math. Debrecen  77 (2010) 39--63. 

54.     Some combinatorial properties of the leaping convergents,II,  Applications of Fibonacci Numbers, (Proceedings of the 12th International Conference on Fibonacci Numbers and their Applications), Congr. Numer. 200 (2010) , 187--196.  

55.     (with V. Laohakosol) On the sum of reciprocal numbers satisfying a  recurrence relation of order s, J. Integer Seq.  13 (2010),  Article 10.5.8 (9 pages).

56.     Four-term leaping recurrence relations, Linear Multilinear Algebra, 58 (2010), 875 -- 886.   

57.     (wtih C. K. Caldwell)  Powers of Sierpinski numbers base b, INTEGERS 10 (2010),  423 -- 436.  

58.     Sequences Hn for which Hn/Hn+1 approaches an irrational number, Fibonacci Quart.  48 (2010),  265 -- 275. 

59.     (with V. Laohakosol and P. Ruengsinsub) Independence measures of arithmetic functions, J. Number Theory   131 (2011),  1 -- 17. 

60.     (with S. H. Holliday) On the sum of reciprocal generalized Fibonacci numbers, INTEGERS 11 (2011),  441 -- 455.     OEIS                                                                                                                                 

61.     On the sum of reciprocal Tribonacci numbers, Ars Combin.   98 (2011), 447-- 459. 

62.     On the nearest integer of the sum of the reciprocal Fibonacci numbers, Applications of Fibonacci Numbers, (Proceedings of the 14th International Conference on Fibonacci Numbers and their Applications), Aportaciones Matematicas Investigacion  20 (2011),  171 -- 184.   

63.     Leaping convergents of Hurwitz continued fractions, Discuss. Math. Gen. Algebra Appl. 31 (2011),  101 -- 121. 

64.     Leaping convergents of Tasoev continued fractions, Discuss. Math. Gen. Algebra Appl. 31 (2011),  201 -- 216.  

65.     (with V. Laohakosol and P. Ruengsinsub) Independence measures of arithmetic functions II, Acta Arith. 153 (2012),  199 -- 216. 

66.     Congruent numbers and continued fractions, Fibonacci Quart. 50 (2012),  222 -- 226.   OEIS                     

67.     Linear recurrence relations associated with multinomial Pascal triangles, Math. Pannon. 23 (2012),  135 -- 146.

68.     Linear recurrence relations associated with multinomial Pascal triangles II, Far East J. Math. Sci. (FJMS) 67 (2012), 153-- 180.

69.     On convergents of certain values of Tasoev continued fractions associated with Diophantine equations, Mat. Metodi Fiz.-Mekh. Polya 55 (2012), 16--22. = J. Math. Sci. (N.Y.) 192 (2013), 498--505.

70.     Some exact algebraic expressions for the tails of Tasoev continued fractions, J. Austral. Math. Soc. 92 (2012), 179--193.  

71.     (with K. Liptai and L. Szalay) Some relationships between poly-Cauchy type numbers and poly-Bernoulli type numbers, East-West J. Math. 14 (2012), 114--120.

72.    (with F. Luca and Y. Tachiya) On the multiplicative order of $F_{n+1}/F_n$ modulo $F_m$, INTEGERS  12B (2012/2013), #A8 (13 pages).

73.     Poly-Cauchy numbers, Kyushu. J. Math. 67 (2013), 143--153.    OEIS                                             

74.     (with K. Betsumiya, M. Hirasaka, and A. Munemasa) Upper bounds on cyclotomic numbers, Linear Algebra Appl. 438 (2013), 111--120.

75.     Poly-Cauchy numbers with a q parameter, Ramanujan J.  31 (2013), 353--371.   OEIS   

76.     (with J. J. Bravo and F. Luca) On the distance between products of consecutive Fibonacci numbers and powers of Fibonacci numbers, Indag. Math. 24 (2013), 181--198.

77.     Hypergeometric Cauchy numbers, Int. J. Number Theory  9 (2013), 545-560.     OEIS                        

78.     (with T. Chaichana and V. Laohakosol) On convergents of certain values of hyperbolic functions formed from Diophantine equations, Tokyo J. Math. 36 (2013), 239-251.

79.    Sums of products of Cauchy numbers, including poly-Cauchy numbers, J. Discrete Math. 2013 (2013), Article ID 373927, 10 pages.

80.      (with F. Luca) Some relationships between poly-Cauchy numbers and poly-Bernoulli numbers, Annales Math. Informaticae 41 (2013), 99--105.

81.     (with K. Kamano) Poly-Cauchy polynomials, Mosc. J. Comb. Number Theory  3 (2013), 183--209.

82.      (with V. Laohakosol and K. Liptai)  A generalization of poly-Cauchy numbers and their properties, Abstract Appl. Anal. 2013 (2013), Article ID 179841, 8 pages.

83.  Explicit formulae for sums of products of Cauchy numbers, including poly-Cauchy numbers, RIMS Kokyuroku Bessatsu  B46 (2014), 187--203.

84.     Some generalized Fibonacci identities including powers and binomial coefficients,  Fibonacci Quart52 (2014), 50--60.

85.     (with K. Kamano) Explicit formulae for sums of products of Bernoulli polynomials, including poly-Bernoulli polynomials, Ramanujan J. 33 (2014), 301--313. 

86.     (with K. Kamano) Some congruence relations of poly-Cauchy numbers, J. Comb. Number Theory 5 (2014), 65--70.  

87.    (with H. Belbachir and L. Szalay) Linear recurrences associated to rays in Pascal's triangle and combinatorial identities, Math. Slovaca 64 (2014),  287-300.

88.     Sums of products of Cauchy polynomials, including poly-Cauchy polynomials, J. Algerian Math. Soc 1 (2014), Article #2 (12 pages).

89.     (with G. Shibukawa) Poly-Cauchy polynomials and multiple Bernoulli polynomials, Acta Sci. Math. (Szeged) 80 (2014), 373--388.

90.     (with L. Szalay) Balancing with binomial coefficients, Int. J. Number Theory 10 (2014), 1729--1742.

91.     (with Florian Luca and Claudio Pita) A note on the denominators of Bernoulli numbers,  Proc. Japan Academy Ser.A 90 (2014), 71-72.

92.     (with Dae San Kim, Taekyun Kim and Jong-Jin Seo) Barnes' multiple Frobenius-Euler and poly-Bernoulli mixed-type polynomials, Adv. Difference Equ. (2014) 2014:92, 16 pages.

93.     (with L. Szalay) Shifted poly-Cauchy numbers, Lithuanian Math. J. 54 (2014), 166-181.

94.     Convolution identities for Cauchy numbers, Acta Math. Hungar. 144 (2014), 76-91. 

95.     (with Florian Luca and Claudio Pita) Generalized poly-Cauchy polynomials and their interpolating functions, Colloq. Math. 136 (2014), 13-30.

96.      (with Dae San Kim, Taekyun Kim and Sung-Hun Lee) Barnes-type Daehee of the first kind and poly-Cauchy of the first kind mixed-type polynomials, Adv. Difference Equ. (2014) 2014:140, 22 pages.    

97.    (with Dae San Kim, Taekyun Kim and Jong-Jin Seo) Barnes-type Daehee polynomials, Adv. Difference Equ. (2014) 2014:141, 26 pages.  

98.     (with Dae San Kim, Taekyun Kim and Hyuck In Kwon) Barnes' multiple Bernoulli and generalized Barnes' multiple Frobenius-Euler mixed-type  polynomials, Adv. Difference Equ. (2014) 2014:238, 16 pages.

99.    (with Omar Khadir) An integer sequence for solving the modular equation 3^x\equiv b [p] when p is prime, J. Theor. Phys. Chript. 7 (2014), 11—19, Article #4.

100.   (with Zuzana Masakova and Edita Pelantova) Higher-order identities for Fibonacci numbers, Fibonacci Quart.  52.5 (2014), 150-163.

101.   Sums of products of Cauchy numbers, including generalized poly-Cauchy numbers, Tokyo J. Math. 37 (2015), 45-74..

102.  Convolution identities for Cauchy numbers of the second kind, Kyushu. J. Math. 68 (2015), 125-144 .

103.   (with Mitsugu Hirasaka) On computation of arbitrary integer powers for certain type of band matrices with Fibonacci numbers, J. Comb. Number Theory  7 (2015), 65-78.

104.  (with Dae San Kim, Taekyun Kim, Seog-Hoon Rim) Multi-poly-Cauchy polynomials, J. Comput. Anal. Appl. 18 (2015), 536-550.

105.   (with Taekyun Kim, Sang-Hun Lee and Jong-Jin Seo) q-poly-Cauchy numbers associated with Jackson integral, J. Comput. Anal. Appl. 18 (2015), 685--698 .

106.  (with Dae San Kim, Taekyun Kim and Jong-Jin Seo) An umbral calculus approach to poly-Cauchy polynomials with a q parameter, J. Comput. Anal. Appl. 18 (2015), 762--792.

107.   (with Dmitry V. Dolgy, Dae San Kim, Taekyun Kim and Sang-Hun Lee) Barnes' multiple Bernoulli and poly-Bernoulli mixed-type polynomials, J. Comput. Anal. Appl. 18 (2015), 933—951.

108. (with Dae San Kim, Taekyun Kim and Jong-Jin Seo) Barnes-type Narumi of the first kind and Barnes-type Peters of the first kind hybrid polynomials, J. Comput. Anal. Appl. 19 (2015),  1012--1037.     

109.  (with Mehmet Cenkci) Poly-Bernoulli numbers and polynomials with a q parameter, J. Number Theory 152 (2015), 38--54.

110. Higher-order convolution identities for Cauchy numbers of the second kind, Proc. Jangjeon Math. Soc. 18 (2015), 369--383.  

111. (with Hassan Jolany and Robert B. Corcino) More properties on multi-poly-Euler polynomials, Bol. Soc. Mat. Mex. 21 (2015), 149--162.@

112.(with Dae San Kim, Taekyun Kim and Dmitry V. Dolgy) Barnes-type degenerate Bernoulli polynomials, Adv. Stud. Contemp. Math. 25 (2015), 121--146.

113. (with Taekyun Kim, Dae San Kim and Sang-Hun Lee) Higher-order  Daehee of the second kind and poly-Cauchy of the second kind mixed-type polynomials, J. Nonlinear Convex Anal. 16 (2015), 1993--2015.

114. q-poly-Bernoulli numbers and q-poly-Cauchy numbers with a parameter by Jackson's integrals, Indag. Math. 27  (2016), 100--111.  

115. (with I. Mezo), Several explicit formulae of Cauchy polynomials in terms of r-Stirling numbers, Acta Math. Hungar. 148 (2016), 522529.   

116. (with I. Mezo and L. Szalay), Incomplete Cauchy numbers, Acta Math. Hungar. 149 (2016), 306 —323.  DOI:10.1007/s10474-016-0616-z

117. Incomplete poly-Cauchy numbers, Monatsh. Math. 180 (2016), 271 —288. 

118.(with Dae San Kim, Taekyun Kim, Jong-Jin Seo and Seog-Hoon Rim) Barnes-type Narumi of the second kind and Poly-Cauchy of the second kind mixed-type polynomials, J. Comput. Anal. Appl. 20 (2016), 91120.

119.(with Dae San Kim, Taekyun Kim, H. I. Kwon and Sang-Hun Lee) Barnes-type Peters polynomials associated with poly-Cauchy polynomials of the second kind, J. Comput. Anal. Appl. 20 (2016), 151—174.

120.(with Dae San Kim, Taekyun Kim and Dmitry V. Dolgy) Barnes-type Peters of the first kind and poly-Cauchy of the first kind mixed-type polynomials, J. Comput. Anal. Appl. 20 (2016), 803—825. 

121.  Higher-order convolution identities for Cauchy numbers, Tokyo J. Math. 39 (2016), 225--239.

122. (with K. Liptai and I. Mezo) Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers, Publ. Math. Debrecen 88 (2016), 357--368.

123.  (with Charles K. Cook) Some identities for sequences of binomial sums of generalized Fibonacci numbers, Fibonacci Quart. 54  (2016), 105--111

124. (with Yuri F. Bilu, Florian Luca, Amalia Pizarro-Madariaga and Pantelimon Stanica) On a divisibility relation for Lucas numbers, J. Number Theory, 163 (2016), 1--18.       

125.   (with Hajime Kaneko) Cauchy-Carlitz numbers, J. Number Theory, 163 (2016), 238--254

126.   (with Yilmaz Simsek) Third and higher order convolution identities for Cauchy numbersFilomat  30 (2016), 1053--1060.  

127.   (with Claudio de J. Pita Ruiz V.) Several explicit formulae for Bernoulli polynomials, Math. Communications 21 (2016), 127--140.  

128.   (with Laszlo Szalay) q-multiparemeter-Bernoulli polynomials and q-multiparameter-Cauchy polynomials by Jackson's integrals Integers 16 (2016), #A39, 11 pages 

129. (with Robert B. Corcino, Hassen Jolany and Cristina B. Corcino) On generalized multi poly-Euler polynomials, Fibonacci Quart. 55 (2017), 41--53.

130. Generalized incomplete poly-Bernoulli and poly-Cauchy numbers, Period. Math. Hungar. 75 (2017), 96--113.

131. (with Florian Luca) Generalized incomplete poly-Bernoulli polynomials and generalized incomplete poly-Cauchy polynomials, Int. J. Number Theory  13 (2017), 371--391.

132. (with Hajime Kaneko) Bernoulli-Carlitz and Cauchy-Carlitz numbers with Stirling-Carlitz numbersRIMS Kokyuroku Bessatsu (to appear).

133. (with Feng-Zhen Zhao) The log-convexity of the poly-Cauchy numbersQuaest. Math. 40 (2017), 39--47.  

134. Complementary Euler numbers,  Period. Math. Hungar. 75 (2017), 302--314.@DOI: 10.1007/s10998-017-0199-7

135. (with Gopal Krishna Panda and Ravi Kumar Davala) Reciprocal sums of sequences involving balancing and Lucas-balancing numbers, Math. Rep. (Bucur.)  (to appear).

136.  (with Claudio de J. Pita Ruiz V.) Truncated Euler polynomials, Math Slovaca (to appear). 

137. (with Abdelmejid Bayad) New characterization of Appell polynomialsIntegral Transforms Spec. Funct. 28 (2017), 212—222. 

138.  (with Eda Yuluklu and Yilmaz Simsek) Identities related to special polynomials and combinatorial numbersFilomat  31 (2017), 4833--4844.  

139.  Incomplete multi-poly-Bernoulli numbers and multiple zeta values, Bull. Malays. Math. Sci. Soc. (2017).  DOI: 10.1007/s40840-016-0443-y

140. Convolution identities for Tribonacci numbers, Ars Combin.   136 (2018), (to appear).   

141.  (with Rusen Li) Convolution identities for Tribonacci numbers with symmetric formulae, Math. Rep. (Bucur.)  (to appear).

142.  (with Paul Thomas Young) Exact p-adic valuations of Stirling numbers of the first kind, J. Number Theory 177 (2017), 20—27.  

143.  (with Yilmaz Simsek) Identities related to the Stirling numbers and modified Apostol-type numbers on umbral calculus, Miskolc Math. Notes (to appear).

144. Truncated Bernoulli-Carlitz and truncated Cauchy-Carlitz numbers, Tokyo J. Math. 41 (2018) (to appear).

145. (with Jose Luis Ramirez) Incomplete poly-Bernoulli numbers and incomplete poly-Cauchy numbers associated to the q-Hurwitz-Lerch zeta function, Mediterr. J. Math. 14 (2017), Art. 133, 19 pp.   DOI 10.1007/s00009-017-0935-5

146.  (with Pingzhi Yuan) Hypergeometric Cauchy numbers and polynomials, Acta Math. Hungar. 153  (2017), 382—400.

147. (with Jose Luis Ramirez) Generalized poly-Cauchy and poly-Bernoulli numbers by using incomplete r-Stirling numbers, Aeqationes Math. (2017). DOI 10.1007/s00010-017-0509-4 

148. (with Jose Luis Ramirez and Victor F. Sirvent) Multi-poly-Bernoulli numbers and polynomials with a q parameter, Lithuanian Math. J. (2017). DOI 10.1007/s10986-017-9371-2

149. (with Paul Thomas Young) Generalized Stirling numbers with poly-Bernoulli and poly-Cauchy numbers, Int. J. Number Theory  (to appear).

150.  (with Laszlo Szalay) A new formula for hyper-Fibonacci numbers, and the number of occurrences, Turkish J. Math. (to appear).

151.        


      

      

       

       


       

  

  







Other publications

1.         
Sur le probleme d'approximation diophantinne de Littlewood: une generalisation du theoreme de Baker, Seminaire d'arithmetique Saint-Etienne,  1992--1993, pp.1--6.
2.          On inhomogeneous Diophantine approximation and inhomogeneous continued fraction expansion
Surikaisekikenkyusho Kokyuroku 961 (1996), 125--136.  (Japanese) 
4.          On an inhomogeneous Diophantine approximation problem of e, Surikaisekikenkyusho Kokyuroku   1091 (1999), 18--26.
7.         On inhomogeneous Diophantine approximation and the Borweins' algorithm, Surikaisekikenkyusho Kokyuroku   1160 (2000), 155--162. (Japanese)
11.     Arithmetic properties of the leaping convergents of e, Surikaisekikenkyusho Kokyuroku   1319 (2003), 85--94.  (Japanese)
20.    
(with Carsten Elsner and Iekata Shiokawa) On convergents formed by Pythagorean numbers, Diophantine Analysis and related fields 2006,  Seminar on Mathematical Sciences, No.35, 2006, eds. by M. Katsurada, T. Komatsu and H. Nakada, Keio University, pp. 59--76.
21.     More on the continued fractions of e^2, Diophantine Analysis and related fields 2006,  Seminar on Mathematical Sciences, No.35, 2006, eds. by M. Katsurada, T. Komatsu and H. Nakada, Keio University, pp. 111--124.
23.     Leaping convergents of Hurwitz continued fractions
, Diophantine Analysis and related fields (DARF2007/2008), AIP Conf. Proc. 976, Amer. Inst. Phys., Melville, NY, 2008, pp.130--143. 
26.     Four-term leaping recurrence relations, Surikaisekikenkyusho Kokyuroku 1639 (2009), pp.1--11.
30.     Some recognizable forms of simple continued fractions, Diophantine Analysis and related fields (DARF2010), AIP Conf. Proc. 1264, Amer. Inst. Phys., Melville, NY, 2010, pp.27--40. 
31.     (with H. Belbachir and L. Szalay) Characterization of linear recurrences associated to rays in Pascal's triangle, Diophantine Analysis and related fields (DARF2010), AIP Conf. Proc. 1264, Amer. Inst. Phys., Melville, NY, 2010, pp.90--99. 
33.     (with T. Chaichana and V. Laohakosol) Independence of Liouville series, AIP Conf. Proc. 1309, Amer. Inst. Phys., Melville, NY, 2010, pp. 200--205.
37.    
Arithmetical properties of the leaping convergents of continued fractions, Surikaisekikenkyusho Kokyuroku   (to appear).
38.     Poly-Cauchy numbers, Surikaisekikenkyusho Kokyuroku 1806 (2012), pp.42--53.     OEIS         
39.     (with P. Ruengsinsub, V. Laohakosol and S. Srisopha) Results about dependence and convolution, Surikaisekikenkyusho Kokyuroku 1806 (2012), pp.54--64.

42.       Poly-Cauchy numbers and poly-Bernoulli numbers, Surikaisekikenkyusho Kokyuroku   1874 (2014), 98--111.

43.       Explicit formulae for sums of products of Bernoulli polynomials, including poly-Bernoulli polynomials, The 8th Fukuoka Number Theory conference. 

45.       (with V. Laohakosol, S. Prugsapitak, and J. Rattanamoong)  Independence of complex Cantor series and Cantor products, Surikaisekikenkyusho Kokyuroku  1898 (2014), 47--57.

46.       Convolution identities for Cauchy numbers of the first kind and of the second kind, Surikaisekikenkyushokokyuroku  1898 (2014), 174--193.  

48.      Incomplete Stirling numbers, Dimenziok, Matematikai Kozlemenyek, II. Kotet, 2014, 9—12.

49.      Euler numbers and related numbers, and their applications, 10th Fukuoka Number Theory, 2016, #12. 

50.   Convolution identities for Cauchy numbers of the first kind and of the second kind, Surikaisekikenkyusho Kokyuroku   2013 (2016), 81--93. 

51.  Several generalizations and applications of incomplete poly-Bernoulli polynomials and incomplete poly-Cauchy polynomials, Surikaisekikenkyusho Kokyuroku   2014 (2017), 174--193.  

52.      







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