Publications
50. T. Nakamura, L-functions with Riemann's functional equation and the Riemann hypothesis, The Quarterly Journal of Mathematics. 74 (2023), no 4, 1495-1504.
Note : In Section 3.3, all H_j(1/2+it) should be replaced by H_j(t).
49. T. Nakamura and M. Suzuki, On infinitely divisible distributions related to the Riemann hypothesis, Statistics & Probability Letters. 201, October 2023, 109889.
48. T. Nakamura, Dirichlet series with periodic coefficients, Riemann's functional equation and real zeros of Dirichlet L-functions, Math. Slovaca. 73 (2023), no. 5, 1145-1152.
46. T. Nakamura, Bounds for the Tornheim double zeta function, Proceedings of the American Mathematical Society Ser. B 10 (2023), 1--12.
45. T. Nakamura, ``Functional equation and zeros on the critical line of the quadrilateral zeta function'', J. Number Theory. 233 (2022), 432--455.
44. T. Nakamura, ``Rapidly convergent series representations of symmetric Tornheim double zeta functions'', Acta Math. Hungar. 165 (2021), 397--414.
43. T. Nakamura, ``Symmetric Tornheim double zeta functions'', Abhandlungen aus dem Mathematischen Seminar der Universitaet Hamburg. 91 (2021), no. 1, 5--14.
42. H. Nagoshi and T. Nakamura, ``Non-universality of the Riemann zeta function and its derivatives when $\sigma \ge 1$'', Journal of Approximation Theory. 241 (2019), 57--62.
41. Y. Lee, T. Nakamura and \L. Pa\'nkowski, ``Selberg's orthonormality conjecture and joint universality of L-functions'', Mathematische Zeitschrift. 286 (2017), no. 1-2, 1--18.
40. T. Nakamura, ``Zeros of polynomials of derivatives of zeta functions'', Proc. Amer. Math. Soc. 145 (2017), no. 7, 2849--2858.
39. T. Nakamura and \L. Pa\'nkowski, ``Effective version of self-approximation for the Riemann zeta-function'', Mathematische Nachrichten. 290 (2017), no. 2-3, 401--411.
38. Y. Lee, T. Nakamura and \L. Pa\'nkowski, ``Joint universality for Lerch zeta-functions'', Journal of the Mathematical Society of Japan. 69 (2017), no. 1, 153--161.
37. T. Nakamura, ``Hurwitz-Lerch zeta and Hurwitz-Lerch type of Euler-Zagier double zeta distributions'', Infinite Dimensional Analysis, Quantum Probability. 19 (2016), no. 4, 1650029, 12 pp.
36. T. Nakamura and \L. Pa\'nkowski, ``On complex zeros off the critical line for non-monomial polynomial of zeta-functions'', Mathematische Zeitschrift. 284 (2016), no. 1-2, 23--39.
35. T. Nakamura, ``Real zeros of Hurwitz-Lerch zeta functions in the interval $(-1,0)$'', Journal of Mathematical Analysis and Applications. 438 (2016), no. 1, 42--52.
34. T. Nakamura, ``Real zeros of Hurwitz-Lerch zeta and Hurwitz-Lerch type of Euler-Zagier double zeta functions'', Mathematical Proceedings of the Cambridge Philosophical Society. 160 (2016), no. 1, 39--50.
33. T. Nakamura and \L. Pa\'nkowski, ``Value distribution for the derivatives of the logarithm of L-functions from the Selberg class in the half-plane of absolute convergence'', Journal of Mathematical Analysis and Applications. 433 (2016), no. 1, 566--577.
32. T. Nakamura, ``A complete Riemann zeta distribution and the Riemann hypothesis'', Bernoulli Journal. 21 (2015), no. 1, 604-617.
31. T. Nakamura, ``A modified Riemann zeta distribution in the critical strip'', Proc. Amer. Math. Soc. 143 (2015), no. 2, 897-905.
30. T. Nakamura and \L. Pa\'nkowski, ``On zeros and c-values of Epstein zeta-functions'', {\vS}iauliai Mathematical Seminar (Special issue celebrating the 65th birthday of Professor Antanas Laurincikas). 8 (2013), 181-196.
29. Syota Mizukami and T. Nakamura, ``Generalized Hurwitz Zeta Distributions'', {\vS}iauliai Mathematical Seminar (Special issue celebrating the 65th birthday of Professor Antanas Laurincikas). 8 (2013), 151-160.
28. T. Aoyama and T. Nakamura, ``Behaviors of multivariable finite Euler products in probabilistic view'', Mathematische Nachrichten. 286 (2013), no.17-18, 1691-1700.
27. T. Aoyama and T. Nakamura, ``Multidimensional Shintani zeta functions and zeta distributions on R^d'', Tokyo Journal Mathematics. 36 (2013), no. 2, 521–538.
26. T. Nakamura, ``A quasi-infinitely divisible characteristic function and its exponentiation'', Statistics and Probability Letters. 83 (2013), 2256-2259.
25. T. Nakamura and \L. Pa\'nkowski, ``Self-approximation for the Riemann zeta function'', Bulletin of the Australian Mathematical Society. 87 (2013), 452-461.
24. T. Nakamura and and K. Tasaka, ``Remarks on double zeta values of level 2'', J. Number Theory. 133 (2013), no. 1, 48-54.
23. T. Nakamura, ``A simple proof of the functional relation for the Lerch type Tornheim double zeta function'', Tokyo Journal Mathematics. 35 (2012), no. 2, 333-337.
22. T. Nakamura, ``The generalized strong recurrence and the Riemann Hypothesis'' in Functions in Number Theory and Their Probabilistic Aspects, RIMS K\^oky\^uroku Bessatsu. B34 (2012), no. 1, 265-276.
21. T. Aoyama and T. Nakamura, ``Zeros of zeta functions and zeta distributions on R^d'' in Functions in Number Theory and Their Probabilistic Aspects, RIMS K\^oky\^uroku Bessatsu. B34 (2012), no. 1, 39-48.
20. T. Nakamura and \L. Pa\'nkowski, ``Erratum to: The generalized strong recurrence for non-zero rational parameters'', Arch. Math. (Basel). 99 (2012), no. 1, 43-47.
19. T. Nakamura and \L. Pa\'nkowski, ``On universality of linear combinations of L-functions'', Monatshefte fuer Mathematik. 165 (2012), no. 3, 422-446.
18. T. Nakamura and \L. Pa\'nkowski, ``Applications of hybrid universality to multivariable zeta-functions'', J. Number Theory. 162 (2011), no. 11, 2151-2161.
17. T. Nakamura, ``The universality for linear combinations of Lerch zeta functions and the Tornheim-Hurwitz type of double zeta functions'', Monatshefte fuer Mathematik. 162 (2011), no. 2, 167-178.
16. T. Nakamura, ``Some topics related to universality for L-functions with Euler product'', Analysis International mathematical journal of analysis and its applications. 31 (2011), 31-41.
15. T. Nakamura, ``The generalized strong recurrence for non-zero rational parameters'', Archiv der Mathematik. 95 (2010), no. 6, 549-555.
14. T. Nakamura, ``Some formulas related to Hurwitz-Lerch zeta functions'', The Ramanujan Journal. 21 (2010), no. 3, 285-302.
13. T. Nakamura, ``Riemann zeta-values, Euler polynomials and the best constant of Sobolev inequality'', New directions in value-distribution theory of zeta and $L$-functions. 289-293, Ber. Math., Shaker Verlag, Aachen, 2009.
12. T. Nakamura, ``The joint universality and the generalized strong recurrence for Dirichlet L-functions'', Acta Arith. 138 (2009), no. 4, 357-362.
11. T. Nakamura, ``Zeros and universality for the Euler-Zagier-Hurwitz type of multiple zeta functions'', Bulletin of London Math. 41 (2009), no. 4, 691-700.
10. T. Nakamura, ``Restricted and weighted sum formulas for double zeta values of even weight'', {\vS}iauliai Mathematical Seminar. (Special issue celebrating the 60th birthday of Professor Antanas Laurincikas). 4 (2009), 151-155.
9. T. Nakamura, ``Double Lerch value relations and functional relations for Witten zeta functions'', Tokyo J. Math. 31 (2008), no. 2, 551-574.
8. T. Nakamura, ``Joint value approximation and joint universality for several types of zeta functions'', Acta Arith. 134 (2008), no. 1, 67-82.
7. T. Nakamura, ``Double Lerch series and their functional relations'', Aequationes Math. 75 (2008), no. 3, 251-259.
6. K. Matsumoto; T. Nakamura, H. Ochiai; H. Tsumura, ``On value-relations, functional relations and singularities of Mordell-Tornheim and related triple zeta-functions'', Acta Arith. 132 (2008), no. 2, 99-125.
5. K. Matsumoto; T. Nakamura; H. Tsumura, ``Functional relations and special values of Mordell-Tornheim triple zeta and L-functions'', Proc. Amer. Math. Soc. 136 (2008), no. 6, 2135-2145.
4. T. Nakamura, ``The existence and the non-existence of joint t-universality for Lerch zeta functions'', J. Number Theory. 125 (2007), no. 2, 424-441.
3. T. Nakamura, ``Applications of inversion formulas to the joint t-universality of Lerch zeta functions'', J. Number Theory. 123 (2007), no. 1, 1-9.
2. T. Nakamura, ``A functional relation for the Tornheim double zeta function'', Acta. Arith. 125 (2006), no. 3, 257-263.
1. T. Nakamura, ``Bernoulli Numbers and multiple zeta values'', Proc. Japan Acad. Ser. A Math. Sci. 81 (2005), no. 2, 21-22.