Masatoshi Suzuki

Department of Mathematics
Tokyo Institute of Technology
2-12-1 Ookayama, Meguro-ku,
Tokyo 152-8551, Japan


Research Interests

Number theory, analytic properties of zeta functions: classical zeta functions, higher zeta integrals, zeta functions of arithmetic schemes, zeta functions of algebraic groups. Interaction of zeta functions with number theory, algebraic/arithmetic geometry, representation theory, functional analysis, harmonic analysis, partial differential equations, integral equations.

  ♦ I am here in mathematics genealogy.


Publications

  1. An inverse problem for a class of canonical systems and its applications to self-reciprocal polynomials,
    to appear in Journal d'Analyse Mathematique.
    A draft is available at arXiv:1308.0228
    (This paper is an upgraded version of "On zeros of self-reciprocal polynomials", arXiv:1211.2953.)

  2. Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines,
    Acta Arith. 170 (2015), no. 1, 47-65.
    A draft is available at arXiv:1409.5394

  3. (with H. Ki and Y. Komori) On the zeros of Weng zeta functions for Chevalley groups,
    Manuscripta Math. 148 (2015), no. 1-2, 119-176.
    A draft is available at arXiv:1011.4583

  4. A family of deformations of the Riemann xi-function,
    Acta Arith. 157 (2013), no. 3, 201-230.

  5. (with I. Fesenko and G. Ricotta) Mean-periodicity and zeta functions,
    Annales Inst. Fourier 62 (2012), No. 5, 1819-1887.
    A draft is available at arXiv:0803.2821

  6. Two dimensional adelic analysis and cuspidal automorphic representations of GL(2),
    Multiple Dirichlet Series, L-functions and Automorphic Forms , 339-361,
    Progress in Math., Birkhauser Boston, 2012.
    A draft is available at arXiv:0805.4547

  7. A canonical system of differential equations arising from the Riemann zeta-function,
    Functions in Number Theory and Their Probabilistic Aspects , 397-436,
    RIMS Kokyuroku Bessatsu B34, RIMS, Kyoto, 2012.
    A draft is available at arXiv:1204.1827;
    in the latest version, typos in the published version are corrected.

  8. On monotonicity of certain weighted summatory functions associated with L-functions,
    Comment. Math. Univ. St. Pauli 60 (2011), no. 1-2, 211-225,
    the special volume celebrating Professor Fujii's retirement.
    A draft is available at arXiv:1204.1823

  9. Positivity of certain functions associated with analysis on elliptic surfaces,
    J. Number Theory 131 (2011), no. 10, 1770-1796.
    A draft is available at arXiv:0703052, but its presentation is quite different from the published version.

  10. (with Y. Kamiya) An attempt to interpret the Weil explicit formula from Beurling's spectral theory,
    J. Number Theory 131 (2011), no. 4, 685-704.

  11. (with L. Weng) Zeta functions for G_2 and their zeros,
    Int. Math. Res. Not. IMRN 2009 (2009), no. 2, 241-290.

  12. The Riemann hypothesis for Weng's zeta function of Sp(4) over Q,
    (with an appendix by L. Weng: Zeta functions for Sp(2n)),
    J. Number Theory 129 (2009), no. 3, 551-579.

  13. On the zeros of approximate functions of Rankin-Selberg L-functions,
    Acta Arith. 136 (2009), no. 1, 19-45.

  14. An analogue of the Chowla-Selberg formula for several automorphic L-functions,
    Probability and number theory-Kanazawa 2005, 479-506,
    Adv. Stud. Pure Math., 49, Math. Soc. Japan, Tokyo, 2007.
    A draft is available at arXiv:math/0606096.

  15. A proof of the Riemann hypothesis for the Weng zeta function of rank 3 for the rationals,
    The Conference on L-Functions , 175-199, World Sci. Publ., Hackensack, NJ, 2007.
    A correctioned version is available here.

  16. (with J.C. Lagarias) The Riemann hypothesis for certain integrals of Eisenstein series,
    J. Number Theory 118 (2006), no. 1, 98-122.
    An additonal note on functions (24) of this paper is available here.

  17. A relation between the zeros of two different L-functions which have an Euler product and functional equation,
    Int. J. Number Theory 1 (2005), no. 3, 401-429.

  18. (with Y. Kamiya) An asymptotic formula for a sum involving zeros of the Riemann zeta-function,
    Publ. Inst. Math. (Beograd) (N.S.) 76(90) (2004), 81-88.

  19. A relation between the zeros of a L-function belonging to the Selberg class and
    the zeros of an associated L-function twisted by a Dirichlet character,
    Arch. Math. (Basel) 83 (2004), no. 6, 514-527.

 ► Publications in Japanese: here.



Preprints

  1. Hamiltonian systems arising from L-functions in the Selberg class,
    this is available at arXiv:1606.05726 .

  2. The zeros of Fourier integrals, partial differential equations and integral equations,
    in preparation.

  3. A family of deformations of the Riemann xi-function, II,
    in revision.


Conferences

  1. Various Aspects of Multiple Zeta Functions, Nagoya University, August 21 - 25, 2017.

  2. French-Japanese Projects "Zeta Functions of Several Variables and Applications",
    Japan-France Research Cooperative Program, 2015-2016.

  3. The 6th Young Mathematicians Conference on Zeta Functions, Nagasaki University, February 15 - 18, 2013.

  4. Zeta Function 2012, Tokyo Institute of Technology, September 24 - 28, 2012.

  5. L-functions of automorphic forms and related problems, The University of Tokyo, March 10 - 13, 2012.

  6. Workshop on various zeta functions and related topics, The University of Tokyo, December 21 - 22, 2010.


 ► Education and Students: here.


Last update: October 18, 2016