Mathematical publications
Most of my papers can be downloaded directly from this page
1. Propriétés arithmétiques d’une série liée aux fonctions thêta
Acta Arithmetica 54, (1993) p. 175-188
Annales de la Faculté des Sciences de Toulouse, vol II, n°3, (1993) p. 323-335
3. Propriété arithmétique d’un nombre p-adique
Comptes Rendus de l’Académie des Sciences de Paris, t. 317, Série 1 (1993), p. 13-15
4. Sur l’irrationalité de la somme des r n / (qn – r)
Comptes Rendus de l’Académie des Sciences de Paris, t. 319, Série 1 (1994), p. 1-4
5. Approximants de Padé et U-Dérivation
Bulletin de la Société Mathématique de France n°122, (1994), p. 553-570
6. Sommes de deux carrés et irrationalité de valeurs de fonctions thêta
Comptes Rendus de l’Académie des Sciences de Paris, t. 320, Série 1 (1995), p. 1041-1044
7. Irrationalité d’un q-analogue de zêta(2)
Comptes Rendus de l’Académie des Sciences de Paris, t. 321, Série 1 (1995), p. 1287-1289
8. A propos de la somme des x n / (qn – 1)
Journal de Théorie des Nombres de Bordeaux 8 (1996), 173-181
9. A criterion of irrationality
Portugaliae Mathematica Vol. 53, Fasc. 2 (1996), p. 229-237
10. Propriétés arithmétiques d’un produit infini lié aux fonctions thêta
Journal für die reine und angewandte Mathematik 477 (1996), p. 1-12
11. Transcendence of Jacobi’s Theta Series
(joint work with Kumiko Nishioka, Keiji Nishioka and Iekata Shiokawa)
Proceedings of the Japan Academy Vol. 72, Ser. A, N°9 (1996), p. 202-203
12. Propriétés arithmétiques des solutions de certaines équations fonctionnelles de Poincaré
Journal de Théorie des Nombres de Bordeaux 8 (1996), p. 443-447
13. Explicit computation of Padé-Hermite Approximants
Journal of Approximation Theory Vol. 8, n°1 (1997), p. 80-91
14. Some arithmetical consequences of Jacobi’s triple product identity
Mathematical Proceedings of the Cambridge Philosophical Society 122 (1997), p. 393-399
15. Irrationalité de la somme des inverses de la suite de Fibonacci
Elemente der Mathematik 52 (1997), p. 31-36
16. Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers
(joint work with Kumiko Nishioka, Keiji Nishioka and Iekata Shiokawa)
Proceedings of the Japan Academy , Vol. 73, Ser. A, N°7 (1997), p. 140-142
17. Transcendence of Jacobi’s Theta Series and related results
(joint work with Kumiko Nishioka, Keiji Nishioka and Iekata Shiokawa)
In “Number Theory”, Proceedings of the international conference held in Eger, Hungary, July 29-August 2 1996, Györy, Pethö and Sos editors, de Gruyter (1998)
18. Expansion in Newton Interpolation Series and U-Laplace Transform
Boletin de la Sociedad Matematica Mexicana (3) Vol. 4 (1998), p. 29-45
19. Sur les propriétés arithmétiques de la fonction de Tchakaloff
Periodica Mathematica Hungarica, Vol. 35.3 (1997), p. 149-157
20. Sur les séries de nombres rationnels à convergence rapide
Comptes Rendus de l’Académie des Sciences de Paris, t. 328, Série I (1999), p. 553-556
21. Formes linéaires d’approximation et irrationalité de valeurs de q-fonctions
Portugaliae Mathematica Vol. 56, Fasc. 2 (1999), p. 205-220
22. On some arithmetical properties of Rogers-Ramanujan continued fraction
(joint work with Iekata Shiokawa)
Osaka Mathematical Journal 37 (2000), p. 759-771
23. Irrationality of fast converging series of rational numbers
Journal of mathematical Sciences of the University of Tokyo 8 (2001), p. 275-316
24. Transcendence of a fast converging series of rational numbers
Mathematical Proceedings of the Cambridge Philosophical Society 130 (2001), p. 193-207
25. Transcendence of certain reciprocal sums of linear recurrences
(joint work with Tomoaki Kanoko and Taka-Aki Tanaka)
Monatshefte für Mathematik, 137 (2002), n°2, p. 115-128
26. An inductive method for proving the transcendence of certain power series
(joint work with Kumiko Nishioka)
Acta Arithmetica 110 (2003), p. 305-330
27. On series involving Fibonacci and Lucas numbers
(joint work with Iekata Shiokawa)
In the proceedings of the conference Diophantine analysis and related fields, Yokohama, 2007, American Institute of Physics Proceedings 976, p. 62-76 (2008)
28. Arithmetical functions and irrationality of Lambert series
In the proceedings of the conference Diophantine analysis and related fields, Tokyo, 2011, American Institute of Physics Proceedings 1385, p. 5-16 (2011)
29. Transcendence of numbers related with Cahen’s constant
(joint work with Takeshi Kurosawa and Iekata Shiokawa)
Moscow Journal of Combinatorics and Number Theory, Vol.8, N°1 (2019)
30. Irrationality exponents of numbers related with Cahen’s constant
(joint work with Iekata Shiokawa)
Monatshefte für Mathematik, Vol. 191, N°1, p. 53-76 (2020)
31. Refinement of the Chowla-Erdös method and linear independence of certain Lambert series
(joint work with Yohei Tachiya)
Forum Mathematicum, Vol 31, N°6, p. 1557-1566 (2019)
32. Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers
(joint work with Yuta Suzuki and Yohei Tachiya)
Acta Mathematica Hungarica, Vol. 162, p. 375-392 (2020)
33. Transformation formulas of finite sums into continued fractions
(joint work with Iekata Shiokawa and Takeshi Kurosawa)
Journal of Approximation Theory 258 (2020)
34. Irrationality exponents of generalized Hone series
(joint work with Iekata Shiokawa and Takeshi Kurosawa)
Monatsfhefte für Mathematik, Vol. 193, p. 291-303 (2020)
35. Irrationality exponents of certain fast converging series of rational numbers
(joint work with Iekata Shiokawa and Takeshi Kurosawa)
Tsukuba Journal of Mathematics, Vol. 44, n°2, 235-250 (2020)
36. Linear independence of infinite products generated by the Lucas numbers
(joint work with Yohei Tachiya)
Nineteenth international conference on Fibonacci numbers and their applications, 21-23 July 2020
37. Algebraic independence of certain infinite products involving Fibonacci numbers
(joint work with Yohei Tachiya)
Mathematical Proceedings of the Japan Academy, Ser. A Math. Sci. 97(5), 29-31 (May 2021).
38. Linear independence of certain sums of reciprocals of the Lucas numbers
(joint work with Yohei Tachiya)
To appear in Periodica Mathematica Hungarica
39. Transcendence of infinite products involving Fibonacci and Lucas numbers
(joint work with Takeshi Kurosawa)
Research in Number Theory, Vol.8, n°4 (December 2022)
40. A criterion of algebraic independence of values of modular functions and an application to infinite products involving Fibonacci and Lucas numbers
(joint work with Carsten Elsner, Masanobu Kaneko et Yohei Tachiya)
Research in Number Theory, Vol.8, n°2 (June 2022)
41. Irrationality exponents of semi-regular continued fractions
(joint work with Iekata Shiokawa)
To appear in the Tokyo Journal of Mathematics
42. A new proof of a theorem of Tietze
(joint work with Iekata Shiokawa)
arXiv, 10 March 2022
43. Continuants and convergence of certain continued fractions
(joint work with Iekata Shiokawa)
arXiv, 18 October 2022