Organization
School of Science Professor
Title
Professor
External link
SUZUKI MASATOSHI
Research Areas
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Natural Science / Algebra
Papers
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On variants of Chebyshev’s conjecture
Masatoshi Suzuki
The Ramanujan Journal 2025.12
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On the Hilbert space derived from the Weil distribution
Masatoshi Suzuki
Canadian Journal of Mathematics 2025.11
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M-functions and screw functions: applications to Goldbach's problem and zeros of the Riemann zeta-function
Kohji Matsumoto, Masatoshi Suzuki
Journal of Number Theory 2025.10
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Screw functions of Dirichlet series in the extended Selberg class
Masatoshi Suzuki
International Journal of Number Theory 2025.9
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Chains of reproducing kernel Hilbert spaces generated by unimodular functions
Masatoshi Suzuki
Annales de l'Institut Fourier 75 ( 4 ) 1463 - 1508 2025.8
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Interpretation of the Schur–Cohn Test in Terms of Canonical Systems
Masatoshi Suzuki
Michigan Mathematical Journal 2024.7
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Li coefficients as norms of functions in a model space
Masatoshi Suzuki
Journal of Number Theory 2023.11
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Aspects of the screw function corresponding to the Riemann zeta‐function
Masatoshi Suzuki
Journal of the London Mathematical Society 2023.10
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On infinitely divisible distributions related to the Riemann hypothesis
Takashi Nakamura, Masatoshi Suzuki
Statistics & Probability Letters 2023.10
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An inverse problem for a class of lacunary canonical systems with diagonal Hamiltonian
Masatoshi Suzuki
Tohoku Mathematical Journal 2022.12
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Hamiltonians arising from L-functions in the Selberg class
Masatoshi Suzuki
Journal of Functional Analysis 2021.10
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An inverse problem for a class of canonical systems having Hamiltonians of determinant one
Masatoshi Suzuki
Journal of Functional Analysis 2020.12
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Integral operators arising from the Riemann zeta function
Masatoshi Suzuki
Various Aspects of Multiple Zeta Functions — in honor of Professor Kohji Matsumoto's 60th birthday 2020
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An inverse problem for a class of canonical systems and its applications to self-reciprocal polynomials
Masatoshi Suzuki
Journal d'Analyse Mathématique 2018.10
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On the zeros of Weng zeta functions for Chevalley groups Reviewed
Haseo Ki, Yasushi Komori, Masatoshi Suzuki
MANUSCRIPTA MATHEMATICA 148 ( 1-2 ) 119 - 176 2015.9
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Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines
Masatoshi Suzuki
Acta Arithmetica 2015
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A family of deformations of the Riemann xi-function
Masatoshi Suzuki
Acta Arith. 2013
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Mean-periodicity and zeta functions
Masatoshi Suzuki
Ann. Inst. Fourier (Grenoble) 2012
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Two-dimensional adelic analysis and cuspidal automorphic representations of GL(2)
Masatoshi Suzuki
Multiple Dirichlet series, L-functions and automorphic forms 2012
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A canonical system of differential equations arising from the Riemann zeta-function
Masatoshi Suzuki
Functions in number theory and their probabilistic aspects 2012
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On monotonicity of certain weighted summatory functions associated with L-functions
Masatoshi Suzuki
Comment. Math. Univ. St. Pauli 2011
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An attempt to interpret the Weil explicit formula from Beurling's spectral theory
Masatoshi Suzuki
J. Number Theory 2011
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Positivity of certain functions associated with analysis on elliptic surfaces
Masatoshi Suzuki
J. Number Theory 2011
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Zeta functions for G_2 and their zeros
Masatoshi Suzuki
Int. Math. Res. Not. IMRN 2009
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On zeros of approximate functions of the Rankin-Selberg L-functions
Masatoshi Suzuki
Acta Arith. 2009
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The Riemann hypothesis for Weng's zeta function of Sp(4) over Q
Masatoshi Suzuki
J. Number Theory 2009
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An analogue of the Chowla-Selberg formula for several automorphic L-functions
Masatoshi Suzuki
Probability and number theory---Kanazawa 2005 2007
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A proof of the Riemann hypothesis for the Weng zeta function of rank 3 for the rationals
Masatoshi Suzuki
The Conference on $L$-Functions 2007
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The Riemann hypothesis for certain integrals of Eisenstein series
Masatoshi Suzuki
J. Number Theory 2006
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A relation between the zeros of two different $L$-functions which have an Euler product and functional equation
Masatoshi Suzuki
Int. J. Number Theory 2005
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An asymptotic formula for a sum involving zeros of the Riemann zeta-function
Masatoshi Suzuki
Publ. Inst. Math. (Beograd) (N.S.) 2004
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A relation between the zeros of an L-function belonging to the Selberg class and the zeros of an associated L-function twisted by a Dirichlet character
Masatoshi Suzuki
Arch. Math. (Basel) 2004
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The analogue of Eichler-Selberg's trace formula for the non-holomorphic automorphic forms on the upper half space
Masatoshi Suzuki
Sūrikaisekikenkyūsho Kōkyūroku 2002
Awards
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名古屋大学数理科学同窓会学生奨励賞(飛田賞)
2018.10 名古屋大学数理科学同窓会
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東工大理学部若手教員教育賞
2015.1 東京工業大学理学部
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東工大挑戦的研究賞
2012.8 東京工業大学
Research Projects
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Applications of functional analysis to the theory of the zeta function.
Grant number：23K03050 2023.4 - 2028.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Grant amount：\4550000 （ Direct Cost: \3500000 、 Indirect Cost：\1050000 ）
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The analytic theory of arithmetic L-functions and multiple zeta-functions
Grant number：18H01111 2018.4 - 2022.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Grant amount：\14560000 （ Direct Cost: \11200000 、 Indirect Cost：\3360000 ）
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ゼータ関数から派生する関数空間の諸性質の研究
Grant number：17K05163 2017.4 - 2023.3
日本学術振興会 科学研究費助成事業 基盤研究(C)
鈴木 正俊
Grant amount：\4550000 （ Direct Cost: \3500000 、 Indirect Cost：\1050000 ）
昨年度の研究によって, 本課題の対象であるゼータ関数から生ずるある種の関数空間を研究する手法は，本質的かつ大幅に改良された．この改良は, 本課題の初期には線形な積分作用素を用いて行っていた関数空間の構成法を, 共役線形な積分作用素に対して書き換える事により成される．本年度はこのような研究をさらに推し進めると共に，細部の検証や, 理論全体を見通しよく整理することを行い, その成果の一部を論文にまとめた. その中には，本課題と関わりの深い，正準系のスペクトル逆問題に関する新たな解法も含まれており, 整数論のみならず解析学の観点からも興味深い成果が得られたと考えている．また，通常の正準系のスペクトル理論において，正準系の解として現れる関数は整関数なのだが，ゼータ関数への応用の仕方を念頭に，必ずしも整関数でも有理型関数でさえないような関数が解として現れても良いように, 若干枠組みを広げた所で正準系と同種の理論を整備することも行い，得られた成果を論文にまとめた．
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いっぽう, 本研究の手法をゼータ関数ではなく多項式の根の分布の研究に応用した成果を初年度に発表したのだが，その際に扱うことのできた多項式は実数係数のものに限られていた．昨年度に成された研究手法の改良により，それを複素係数の多項式の根の分布の研究に拡張できる可能性が見えたので, 本年度はそのような拡張についても研究を進めた. その成果の一つとして, 多項式の根の分布をその係数の情報によって述べる古典的なSchur-Cohnの判定法と, 上記で述べた正準系の理論を結び付ける新たな関係性が見出された．こちらの成果の一部も研究集会などでアナウンスした他，論文にもまとめた． -
Additive decomposition and positivity for zeta functions
Grant number：25800007 2013.4 - 2017.3
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)
Suzuki Masatoshi
Grant amount：\4290000 （ Direct Cost: \3300000 、 Indirect Cost：\990000 ）
A group of special functions called zeta functions is one of the major research areas in number theory. The Riemann zeta function and Dirichlet L functions are typical examples of zeta functions. In this research project, we have studied the distributions of the zeros of the zeta functions, which are important in number theory, with the theory of certain systems of ordinary linear differential equations. As one of the achievements, a new theoretical framework relating number theory with function analysis was obtained. In addition, a new discovery was made about the distribution of the imaginary parts of the zeros of certain special zeta functions.
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Analytic properties of arithmetic zeta functions and geometric symmetry
Grant number：21740004 2009 - 2012
Japan Society for the Promotion of Science Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)
SUZUKI Masatoshi
Grant amount：\4420000 （ Direct Cost: \3400000 、 Indirect Cost：\1020000 ）
Zeta functions are a group of certain special functions having its origin in the Riemann zeta function. They play important roles in various fields of mathematics. In this research project, we studied about important analytic properties of arithmetic zeta functions like analytic continuations and distributions of thier poles and zeros. As the results, we established a new bridge between analytic properties of zeta functions in number theory and modern harmonic analysis, and obtained new results on the distribution of zeros of so-called high-rank zeta functions which are direct generalizations of the Riemann zeta function.