Other papers

1.    Sur le probleme d'approximation diophantinne de Littlewood: une genralisation du theoreme de Baker, Seminaire d'arithmetique Saint-Etienne, 1992--1993, p1--6.

2.    On inhomogeneous Diophantine approximation and inhomogeneous continued fraction expansion, Surikaisekikenkyushokokyuroku   961 (1996), 125--136 (Japanese).

3.    Algebraic independence of some values of certain power series, 5th meeting for transcendental number theory at Gakushuin University, 1997, 45--53(Japanese).

4.    On an inhomogeneous Diophantine approximation problem of e, Surikaisekikenkyushokokyuroku  1091 (1999), 18--26 (Japanese).

5.    On palindromic sequences from irrational numbers, Talks’ abstracts in Algebra section at the meeting of Mathematical Society of Japan  (March 25 to 28, 1999, Gakushuin University), pp.8--11 (Japanese). 

6.    Continued fractions and Newton’s approximations, Talks’ abstracts in Algebra section at the meeting of Mathematical Society of Japan  (March 27 to 30, 2000,  Waseda University), pp.38--39 (Japanese). 

7.    On inhomogeneous Diophantine approximation and the Borweins' algorithm, Surikaisekikenkyushokokyuroku   1160 (2000), 155--162 (Japanese). 

8.    The number of solutions of Frobenius’s Diophantine equation, Talks’ abstracts in Algebra section at the meeting of Mathematical Society of Japan (March 27 to 31, 2002, Meiji University), pp.16--17 (Japanese). 

9.    Continued fractions showing new regularities —Tasoev’s continued fractions, Surikaisekikenkyushokokyuroku   1274 (2002), 100--108 (Japanese). 

10.  Arithmetic properties of convergents of e1/s, Talks’ abstracts in Algebra section at the meeting of Mathematical Society of Japan  (September 25 to 28, Shimane University), pp.130--131 (Japanese). 

11.  Arithmetic properties of the leaping convergents of e1/s, Surikaisekikenkyushokokyuroku  1319 (2003), 85--94 (Japanese). 

12.  Infinite sum representation algorithm of continued fraction expansions, II, The 5tth Symposium on Algebra and Computation, Tokyo Metropolitan University.

13.  A reverse algorithm of continued fraction expansions, Talks’ abstracts in Algebra section at the meeting of Mathematical Society of Japan  (March 28 to 31, 2004, Tsukuba University), pp.10--11 (Japanese). 

14.  From continued fractions to real numbers, Surikaisekikenkyushokokyuroku   1384 (2004), 15--23 (Japanese). 

15.  Tasoev continued fractions and Rogers-Ramanujan continued fractions, Talks’ abstracts in Algebra section at the meeting of Mathematical Society of Japan  (September 19 to 22, 2004, Hokkaido  University), pp.142--143 (Japanese). 

16.  An algorithm of infinite sums’ representations associated with Tasoev continued fractions, Bunyakovsky International Conference, Abstracts, Kiev (2004), p.164.

17.  The number of solutions on a Frobenius problem, Combinatorial Number Theory and Algebraic Combinatorics, November 18---21, 2002, Yamagata Univ., Eds. By M. Ozeki and E. Bannai, pp. 138—150, 2005.

18.  Rational approximations to Tasoev continued fractions, Surikaisekikenkyushokokyuroku  1511  (2006), 166-172 (Japanese). 

19.  (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.

20.  More on the continued fractions of e2, 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.

21.  Approximation to the values of hyperbolic functions by Pythagorean numbers, Talks’ abstracts in Algebra section at the meeting of Mathematical Society of Japan  (September 21 to 24, 2007, Tohoku University), pp.109--110 (Japanese).

22.  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. 

23.  Shrinking the periods of continued fractions, Talks’ abstracts in Algebra section at the meeting of Mathematical Society of Japan  (March 23 to 26, 2008, Kinki University), pp.31--32 (Japanese).

24.   Four-term leaping recurrence relations, Talks’ abstracts in Algebra section at the meeting of Mathematical Society of Japan  (September 24 to 27, 2008, Tokyo Institute of Technology, pp.45—46  (Japanese).

25.  Four-term leaping recurrence relations, Surikaisekikenkyushokokyuroku   1639 (2009), 1--11.

26.  Fibonacci-Lucas Zeta functions, Talks’ abstracts in Algebra section at the meeting of Mathematical Society of Japan  (March 26 to 29, 2009,  University of Tokyo), pp.49--50 (Japanese).

27.  Diophantine approximations with leaping convergents, Surikaisekikenkyushokokyuroku  1665 (2009), pp.67--79.

28.  Liouville numbers on non-Archimedean values, Talks’ abstracts in Algebra section at the meeting of Mathematical Society of Japan  (March 24 to 27, Keio University), pp.91—92 (Japanese).

29.   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. 

30.  (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. 

31.  Linear recurrence relations associated with Pascal triangle, Talks’ abstracts in Algebra section at the meeting of Mathematical Society of Japan  (September 22 to 25, 2010, Nagoya University), pp.62—63  (Japanese).

32.  (with T. Chaichana and V. Laohakosol)  Independence of Liouville series, AIP Conf. Proc. 1309, Amer. Inst. Phys., Melville, NY, 2010, pp. 200--205.

33.  On some characteristic properties of linear recurrences associated to rays in Pascal's triangle and combinatorial identities, The 3rd Science Research Conference, abstracts (March 14—15, 2011, Naresuan University, Thailland), p.81.

34.  Linear recurrence relations associated with Generalized Pascal triangles and combinatorial identities, DIMACOS11-FSTM,  International Conference on Discrete Mathematics & Computer Sciences (May 5—8, 2011, University of Hassan II, Mohammedia, Morocco) p.82.

35.  Diophantine approximations of Hurwitz and Tasoev continued fractions,  International V. Ya. Skorobohatko Mathematical conference, September 19—23, 2011, Drohobych, Ukraine, Abstracts, p.101.

36.  Arithmetical properties of the leaping convergents of continued fractions, surikaisekikenkyushokokyuroku  (to appear).

37.  Poly-Cauchy numbers, Surikaisekikenkyushokokyuroku  1806 (2012), 42--53.    OEIS 

38.  (with P. Ruengsinsub, V. Laohakosol and S. Srisopha) Results about dependence and convolution, Surikaisekikenkyushokokyuroku  1806 (2012), 54--64.

39.  Poly-Cauchy numbers and their characteristic properties, International Conference in Number Theory and Applications 2012, Kasetsert University, Bangkok, Thailand, p.34. 

40.  Poly-Cauchy polynomials, 8eme Recontre d’Analyse Mathematique et ses Applications (RAMA8) Resumes/Abstracts, Alger, 26—29 Novembre 2012, Faculte de Mathematiques, USTHB, p.14.

41.  (with K. Kamano) Poly-Cauchy polynomials, Talks’ abstracts in Algebra section at the meeting of Mathematical Society of Japan  (March 20 to 23, 2013, Kyoto University), pp.133—134 (Japanese).

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

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

44.  A note on the denominators of Bernoulli numbers, Talks’ abstracts in Algebra section at the meeting of Mathematical Society of Japan  (March 15 to 18, Gakushuin  University), p.129 (Japanese).

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

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

47.  A note on the denominators of Bernoulli numbers, Talks’ abstracts in Algebra section at the meeting of Mathematical Society of Japan  (March 15 to 18, 2014, Gakushuin University), pp.129.

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, Surikaisekikenkyushokokyuroku  2013 (2016), 81--93. 

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

52.  Several new characteristic properties of Appell polynomials, Automorphic Forms and Related Topics, RIMS Kokyuroku 2055 (2017),  10--23. 

53.  Hypergeometric-type Bernoulli-Carlitz, Cauchy-Carlitz and Euler-Carlitz numbers, Proceedings of the 11th Fukuoka Symposium on Number Theory, #12, 105--115. 

54.  Fibonacci determinants, Proceedings of the 16th Japan Fibonacci Meeting, held at Tokyo University of Science on August 24, 2018, pp.112--120 (Japanese).

55.  Degenerate Bernoulli polynomials and poly-Cauchy polynomials, RIMS Kokyuroku 2092 (2018), 146–159.

56.  Diophantine Frobenius problems from semigroup's seriesand identities for zeta functions, RIMS Kokyuroku 2100 (2019), 21–34.

57.  Some approximation properties of hypergeometric Bernoulli numbers, RIMS Kokyuroku 2131 (2019), 84--94.

58.  Topological index associated with continued fractions, Proceedings of the 17th Japan Fibonacci Meeting, held at Tokyo University of Science on August 23, 2019, pp.138–147.

59.  Some generalizations of harmonic numbers and their applications, RIMS Kokyuroku 2162 (2020), 92--103.

60.   Bernoulli and Cauchy numbers with level 2 associated with Stirling numbers with level 2, RIMS Kokyuroku 2222 (2022), 24--38.

61. Arithmetic approach to p-numerical semigroups, RIMS Kokyuroku 2264 (2023), 1 --16.

62. The p-Frobenius numbers for Fibonacci triples, Proceedings of the 21st Japan Fibonacci Meeting, held at Tokyo University of Science on August 25, 2023, pp.41--49.