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鈴木正俊 研究業績一覧 (62件)
論文
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Masatoshi Suzuki.
An inverse problem for a class of canonical systems having Hamiltonians of determinant one,
Journal of Functional Analysis,
Vol. 279,
issue 12,
Oct. 2020.
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Masatoshi Suzuki.
Integral operators arising from the Riemann zeta function,
Advanced Studies in Pure Mathematics,
Vol. 84,
pp. 399-411,
Mar. 2020.
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Masatoshi Suzuki.
An inverse problem for a class of canonical systems and its applications to self-reciprocal polynomials,
Journal d'Analyse Mathematique,
Dec. 2018.
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Haseo Ki,
Yasushi Komori,
Masatoshi Suzuki.
On the zeros of Weng zeta functions for Chevalley groups,
Manuscripta Mathematica,
Volume 148,
No. 1,
pp. 119–176,
2015.
公式リンク
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Masatoshi Suzuki.
Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines,
Acta Arithmetica,
Volume 170,
Number 1,
pp. 47-65,
2015.
公式リンク
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Masatoshi Suzuki.
A family of deformations of the Riemann xi-function,
Acta Arithmetica,
Volume 157,
no. 3,
pp. 201-230,
2013.
公式リンク
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Masatoshi Suzuki.
A canonical system of differential equations arising from the Riemann zeta-function,
RIMS Kôkyûroku Bessatsu,
vol. B34,
pp. 397-435,
2012.
公式リンク
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Ivan Fesenko,
Guillaume Ricotta,
Masatoshi Suzuki.
Mean-periodicity and zeta functions,
Annales de L'Institut Fourier,
vol. 62,
no. 5,
pp. 1819-1887,
2012.
公式リンク
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Suzuki Masatoshi.
Positivity of certain functions associated with analysis on elliptic surfaces,
Journal of Number Theory,
Volume 131,
no. 10,
pp. 1770-1796,
2011.
公式リンク
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Yuichi Kamiya,
Masatoshi Suzuki.
An attempt to interpret the Weil explicit formula from Beurling's spectral theory,
Journal of Number Theory,
vol. 131,
no. 4,
pp. 685-704,
2011.
公式リンク
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Masatoshi Suzuki.
On monotonicity of certain weighted summatory functions associated with L-functions,
Commentarii mathematici Universitatis Sancti Pauli,
vol. 60,
no. 1-2,
pp. 211-225,
2011.
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Masatoshi Suzuki,
Lin Weng.
Zeta functions for G_2 and their zeros,
International Mathematics Research Notices,
Vol. 2009,
no. 2,
pp. 241-290,
2009.
公式リンク
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Masatoshi Suzuki.
The Riemann hypothesis for Weng's zeta function of Sp(4) over Q,
Journal of Number Theory,
vol. 129,
no. 3,
pp. 551-579,
2009.
公式リンク
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Masatoshi Suzuki.
On the zeros of approximate functions of Rankin-Selberg L-functions,
Acta Arithmetica,
Volume 136,
no. 1,
pp. 19-45,
2009.
公式リンク
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Masatoshi Suzuki.
An analogue of the Chowla-Selberg formula for several automorphic L-functions,
Advanced Studies in Pure Mathematics,
vol. 49,
pp. 479-506,
2007.
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Masatoshi Suzuki.
A proof of the Riemann hypothesis for the Weng zeta function of rank 3 for the rationals,
The Conference on L-Functions,
The Conference on L-Functions,
World Scientific Publishing Co Pte Ltd,
pp. 175-199,
Dec. 2006.
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Jeffrey C. Lagarias,
Masatoshi Suzuki.
The Riemann hypothesis for certain integrals of Eisenstein series,
Journal of Number Theory,
Volume 118,
no. 1,
pp. 98-122,
2006.
公式リンク
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Masatoshi Suzuki.
A relation between the zeros of two different L-functions which have an Euler product and functional equation,
International Journal of Number Theory,
vol. 1,
no. 3,
pp. 401-429,
2005.
公式リンク
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Masatoshi Suzuki.
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,
Archiv der Mathematik,
Birkhäuser-Verlag,
vol. 83,
no. 6,
pp. 514-527,
2004.
公式リンク
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Yuichi Kamiya,
Masatoshi Suzuki.
An asymptotic formula for a sum involving zeros of the Riemann zeta-function,
Publications de l'Institut Mathématique,
vol. 76(90),
2004.
公式リンク
国際会議発表 (査読有り)
国内会議発表 (査読有り)
国際会議発表 (査読なし・不明)
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Masatoshi Suzuki.
Canonical systems arising from zeta-functions,
RIMS Workshop 2020 Problems and Prospects in Analytic Number Theory,
Nov. 2020.
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Masatoshi Suzuki.
Integral operators arising from zeta functions,
Value distribution of zeta and Lfunctions and related topics,
Mar. 2020.
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Masatoshi Suzuki.
De Branges spaces associated with zeta-functions,
Various Aspects of Multiple Zeta Functions,
Aug. 2017.
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Masatoshi Suzuki.
Canonical systems arising from zeta-functions,
Hilbert spaces of entire functions and their applications,
May 2017.
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Masatoshi Suzuki.
Nearest neighbor spacing distributions for zeros of the real part of the Riemann xi-function lying on vertical lines,
RIMS Kôkyûroku,
No. 2013,
pp. 25-32,
Dec. 2016.
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Masatoshi Suzuki.
Canonical systems arising from Dirichlet polynomials,
RIMS Workshop 2016, Problems and prospects in Analytic Number Theory,
Oct. 2016.
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Masatoshi Suzuki.
On the distributions for the zeros of the real and imaginary parts of the Riemann xi-function on vertical lines,
The Sixth International Conference Analytic and Probabilistic Methods in Number Theory,
Sept. 2016.
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Masatoshi Suzuki.
Analytic aspects of two-dimensional zeta integrals via mean-periodicity,
Symmetries and Correspondences: Higher Structures in Number Theory,
July 2016.
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Masatoshi Suzuki.
Hamiltonian systems arising from L-functions in the Selberg class,
Zeta functions of several variables and applications,
Nov. 2015.
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Masatoshi Suzuki.
Translation invariant subspaces and GRH for zeta functions,
Symmetries and correspondences in number theory, geometry, algebra, physics: intra-disciplinary trends,
July 2014.
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鈴木 正俊.
An inverse problem for a class of canonical systems,
解析的整数論 —超越関数の数論的性質とその応用,
数理解析研究所講究録,
Vol. 1898,
pp. 140–145,
May 2014.
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鈴木正俊.
自己相反多項式の零点と微分方程式,
解析数論–近似と漸近的手法を通して見た数論,
数理解析研究所講究録,
Vol. 1874,
pp. 125–134,
Jan. 2014.
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Masatoshi Suzuki.
Zeta functions as a variant of the cosine function,
International Conference on Number Theory,
Sept. 2013.
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Masatoshi Suzuki.
An inverse problem for a class of canonical systems and its applications,
Palanga Conference in Combinatorics and Number Theory,
Sept. 2013.
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Masatoshi Suzuki.
Zeta functions as a variant of the cosine function; Zeta functions and canonical systems of linear differential equations (two talks),
Zeta Function 2012,
Sept. 2012.
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鈴木正俊.
自己相反多項式と微分方程式の標準系,
解析数論–数論的関数の多重性に関連して,
数理解析研究所講究録,
Vol. 1806,
pp. 176–185.,
Sept. 2012.
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Masatoshi Suzuki.
Zeros of self-reciprocal polynomials and canonical systems of differential equations,
2012 Conference on L-functions,
Aug. 2012.
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Masatoshi Suzuki.
Certain second order differential equation arising from the Riemann-zeta function,
The Fifth International Conference in Honour of J. Kubilius,
Sept. 2011.
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Masatoshi Suzuki.
An equivalence condition for the Riemann hypothesis,
RIMS Project Research: Functions in Number Theory and Their Probabilistic Aspects,
Dec. 2010.
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鈴木正俊.
Zeros of Weng’s zeta functions for (G; P),
保型形式・保型表現およびそれに伴うL 函数と周期の研究,
数理解析研究所講究録,
Vol. 1715,
pp. 159–168,
Oct. 2010.
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鈴木正俊.
Eisenstein series and zeros of zeta functions,
解析数論およびその周辺の諸問題,
数理解析研究所講究録,
Vol. 1710,
pp. 60–70,
Aug. 2010.
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鈴木正俊.
On zeta integrals related to Hasse-Weil L-functions of elliptic curves,
解析的整数論とその周辺,
数理解析研究所講究録,
Vol. 1665,
pp. 105–113,
Oct. 2009.
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Masatoshi Suzuki.
On the zeros of zeta functions for (G; P)/Q,
Zeta Function Days in Seoul,
Sept. 2009.
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Masatoshi Suzuki.
Mean-periodicity and zeta functions,
Multiple Dirichlet Series and Applications to Automorphic Forms,
Aug. 2008.
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Masatoshi Suzuki.
On the space of incomplete Eisenstein series and the zeros of zeta-function,
Second German-Japanese Number Theory Workshop,
Feb. 2008.
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鈴木正俊.
Rankin-Selberg L 関数, 及び symmetric square L 関数の零点について,
保型表現・L 函数・周期の研究,
数理解析研究所講究録,
Vol. 1523,
pp. 184–193,
Oct. 2006.
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鈴木正俊.
The Riemann hypothesis for certain integrals of Eisenstein series,
解析的整数論とその周辺,
数理解析研究所講究録,
Vol. 1511,
pp. 38–44,
Aug. 2006.
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鈴木正俊.
Ramanujan のデルタ関数に付随するRankin-Selberg L 函数の零点について,
解析的整数論,
数理解析研究所講究録,
Vol. 1512,
pp. 124–133,
Aug. 2006.
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Masatoshi Suzuki.
On the zeros of the symmetric square L-function associated with the Ramanujan delta-function,
International Conference on Probability and Number Theory 2005,
June 2005.
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鈴木正俊.
ディリクレ指標で捻ったL 関数の零点と元のL 関数の零点の間の関係,
保型形式の構成とその応用,
数理解析研究所講究録,
Vol. 1398,
pp. 129–136,
Oct. 2004.
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鈴木正俊.
The analogue of Eichler-Selberg’s trace formula for the non-holomorphic automorphic forms,
保型形式およびそれに付随するディリクレ級数の研究,
数理解析研究所講究録,
Vol. 1281,
pp. 90-100,
Aug. 2002.
国内会議発表 (査読なし・不明)
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鈴木正俊.
ある偏微分方程式系とHermiteBiehler class の整関数,
日本数学会2020 年度年会,
Mar. 2020.
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鈴木正俊.
ゼータ関数から生ずる積分作用素の族について. II,
日本数学会2020 年度年会,
Mar. 2020.
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鈴木正俊.
ゼータ関数と微分方程式,
数理新人セミナー,,
Feb. 2019.
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鈴木正俊.
An introduction to Weng’s zeta functions,
関西多重ゼータ研究会,
May 2018.
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鈴木正俊.
Continuous deformations of the Riemann zeta-function,
第14 回早稲田大学整数論研究集会,
第14 回早稲田大学整数論研究集会報告集,
2009.
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Jeffery C. Lagarias,
Masatoshi Suzuki.
A note on the Riemann hypothesis for the constant term of the Eisenstein series,
2004 数論セミナー静岡,
2004 数論セミナー静岡報告集,
pp. 159–168,
2004.
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鈴木正俊.
On the Riemann hypothesis for Weng’s non-abelian zeta of rank 2,
2004 数論セミナー静岡,
2004 数論セミナー静岡報告集,
pp. 145–158,
2004.
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鈴木正俊.
ゼータ関数の零点をわたる和について,
2003 数論セミナー静岡,
2003 数論セミナー静岡報告集,
pp. 79-97,
2003.
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