LABORATORY OF TAKUMI NODA

About me

TAKUMI NODA

I am a Japanese mathematician hailing from Nagasaki Prefecture, and I am a Professor of mathematics at the College of Engineering of Nihon University.
I started my study of mathematics from the additive number theory and automorphic L-functions. Recently, I conduct research about multiple Eisenstein series with Prof. M. Katsurada, and I focus on some generating functions of the Riemann zeta-function related to modular forms.

Research interests

Key words: Number theory, Analytic number theory, Riemann zeta function, Eisenstein series, Poincaré series

Takumi Noda (Teaching Stuff, College of Engineering, Nihon University)

Publications

Research papers (refereed)
  1. M. Katsurada and T. Noda, Asymptotic expansions for a class of generalized holomorphic Eisenstein series, Ramanujan’s formula for ζ(2k+1), Weierstraß’ elliptic and allied functions, The Ramanujan Journal, Vol. 65, (2024), 679–715, DOI: 10.1007/s11139-024-00911-9
  2. T. Noda, The exponential-type generating function of the Riemann zeta-function revisited, The Ramanujan Journal, Vol. 60, (2023), 1-11. DOI: 10.1007/s11139-022-00644-7
  3. T. Noda, Some generating functions of the Riemann zeta function, The Number Theory Week 2017, Banach Center Publications 118 (2019), 107-111. DOI: 10.4064/bc118-6.
  4. M. Katsurada and T. Noda, Transformation formulae and asymptotic expansions for double holomorphic Eisenstein series of two complex variables, The Ramanujan Journal, Vol. 44, 2 (2017), 237-280. DOI: 10.1007/s11139-017-9922-5
  5. T. Noda, On the functional properties of the confluent hypergeometric zeta-function, The Ramanujan Journal, Vol. 41 (2016), 183-190. DOI: 10.1007/s11139-014-9613-4
  6. T. Noda, On the functional properties of the Bessel zeta-function, Acta Arithmetica, 171, No.1 (2015), 1-13. DOI: 10.4064/aa171-1-1
  7. T. Noda, A transformation formula for a certain Eisenstein series in aerodynamic interference calculations, Journal of Math-for-Industry, Vol. 5, B-6, (2013) 135-138.
  8. M. Katsurada and T. Noda, Differential actions on the asymptotic expansions of non-holomorphic Eisenstein series, International Journal of Number Theory, 6, Vol. 5 (2009), 1061-1088.
  9. T. Noda, An explicit formula for the zeros of the Rankin-Selberg L-function via the projection of C∞-modular forms, Kodai Math. J. 31, No.1 (2008), 120-132.
  10. T. Noda, A note on the non-holomorphic Eisenstein series, The Ramanujan Journal 14 (2007), 405-410.
  11. T. Noda, On the zeros of symmetric square L-functions, Kodai Math. J. 22, No.1 (1999), 66-82.
  12. T. Noda, On the Goldbach problem in algebraic number fields and the positivity of the singular integral, Kodai Math. J., 20, No.1 (1997), 8-21.
  13. T. Noda, An application of the projections of C∞ automorphic forms, Acta Arithmetica, 72, No.3 (1995), 229-234.

Proceeding reports, surveys (non-refereed)
  1. T. Noda, A class of holomorphic Dirichlet-Hurwitz-Lerch Eisenstein series and Ramanujan's formula for specific values of the Riemann zeta-function, RIMS Kokyuroku (Analytic Number Theory) 2222 (2022), 39-52.
  2. T. Noda, Two zeta functions contained in the Poincaré series, RIMS Kokyuroku (Analytic Number Theory) 2203 (2021), 135-139.
  3. T. Noda, On the exponential-type generating function of the Riemann zeta-function (in Japanese), RIMS Kokyuroku (Analytic Number Theory) 2131 (2019), 159-165.
  4. M. Katsurada and T. Noda, Transformation formulae and asymptotic expansions or double holomorphic Eisenstein series of two complex variables (summarized version), RIMS Kokyuroku (Analytic Number Theory) 2013 (2016), 157-169.
  5. T. Noda, A certain double series in aerodynamic interference calculations, RIMS Kokyuroku (Analytic Number Theory) 1874 (2014), 135-138.
  6. T. Noda, A transformation formula for Maass-type Eisenstein series of two variables, RIMS Kokyuroku (Analytic Number Theory) 1806 (2012), 210-218.
  7. Katsurada and T. Noda, On generalized Lipschitz formulae and applications II, M. Proceedings of Diophantine Analysis and Related Fields 2011, AIP Conference Proceedings 1385, A.I.P. Press, (2011), 73-86.
  8. M. Katsurada and T. Noda, On generalized Lipschitz formulae and applications, Proceedings of Diophantine Analysis and Related Fields 2010, AIP Conference Proceedings 1264, A.I.P. Press, September (2010), 129-138.
  9. M. Katsurada and T. Noda, Actions of Maass’ operators on the asymptotic expansions of non-holomorphic Eisenstein series, RIMS Kokyuroku (Analytic Number Theory) 1665 (2009), 80-93.
  10. T. Noda, Laplace-Mellin transform of the non-holomorphic Eisenstein series, RIMS Kokyuroku (Analytic Number Theory) 1665 (2009), 94-99.
  11. T. Noda, Some asymptotic expansions of the Eisenstein series, RIMS Kokyuroku (Automorphic representations, automorphic L-functions and arithmetic) 1659 (2009), 106-115.
  12. T. Noda, An explicit formula for the zeros of the Rankin-Selberg L-function, RIMS Kokyuroku (Analytic Number Theory) 1639 (2009), 164-171.
  13. T. Noda, Asymptotic expansions of the non-holomorphic Eisenstein series II, RIMS Kokyuroku (Analytic Number Theory) 1512 (2006), 118-123.
  14. T. Noda, Asymptotic expansions of the non-holomorphic Eisenstein series, RIMS Kokyuroku (Analytic Number Theory) 1319 (2003), 29-32.
  15. T. Noda, An application of the projections of C∞ automorphic forms, RIMS Kokyuroku (Analytic Number Theory) 961, (1996), 32-35.
  16. T. Noda, On the positivity of the singular integral, RIMS Kokyuroku (Analytic Number Theory) 886 (1994), 196-200.

© LABORATORY OF TAKUMI NODA