Papers - MIZUNO Yoshinori
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Petersson norms of Jacobi-Eisenstein series and Gross-Kohnen-Zagier's formula Reviewed
Shuichi Hayashida, Yoshinori Mizuno
Mathematika 2025.06
Authorship：Lead author Language：English Publishing type：Research paper (scientific journal)
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On modular transformation of “weight 1 Eisenstein series” Reviewed
Yoshinori Mizuno
The Ramanujan Journal 66 ( 4 ) 2025.02
Language：English Publishing type：Research paper (scientific journal) Publisher：Springer Science and Business Media LLC
DOI： 10.1007/s11139-025-01040-7
Other Link： https://link.springer.com/article/10.1007/s11139-025-01040-7/fulltext.html
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ヤコビ・アイゼンシュタイン級数のピーターソン・ノルムとグロス・コーネン・ ザギエ公式
水野義紀
第１６回福岡数論研究集会報告集 2025
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Congruences for class numbers of Q(±√2p) when p≡ 3 (mod 4) is prime Reviewed International coauthorship
Yoshinori Mizuno, Jigu Kim
The Ramanujan Journal 64 ( 4 ) 1179 - 1197 2024.05
Language：English Publishing type：Research paper (scientific journal)
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A certain character twisted average value of the digits of rational numbers and the class numbers of imaginary quadratic fields Reviewed
Yoshinori Mizuno
Acta Arithmetica 208 ( 3 ) 215 - 233 2023.08
Language：English Publishing type：Research paper (scientific journal)
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Congruences for odd class numbers of quadratic fields with odd discriminant Reviewed
Yoshinori Mizuno, Jigu Kim
The Ramanujan Journal 60 ( 4 ) 939 - 963 2023.04
Language：English Publishing type：Research paper (scientific journal)
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On Hutchinson's conjecture
Yoshinori Mizuno
RIMS Kokyuroku 2264 157 - 172 2023
Language：English Publishing type：Research paper (conference, symposium, etc.)
Other Link： https://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2264.html
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Koecher-Maass series associated to Hermitian modular forms of degree 2 and a characterization of cusp forms by the Hecke bound Reviewed
Yoshinori Mizuno, Roland Matthes
Journal of Mathematical Analysis and Applications 509 ( 1 ) 125904 2022.05
Language：English Publishing type：Research paper (scientific journal)
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Congruences relating class numbers of quadratic orders and Zagier's sums Reviewed
Yoshinori Mizuno
Journal of Number Theory 227 352 - 370 2021.10
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Genus character L-functions of quadratic orders and class numbers Reviewed
Yoshinori Mizuno, Masanobu Kaneko
Journal of the London Mathematical Society Vol.102 69 - 98 2020
Language：English Publishing type：Research paper (scientific journal)
DOI： 10.1112/jlms.12313
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Rankin-Selberg convolutions of non-cuspidal half-integral weight Maass forms in the plus space Reviewed
Yoshinori Mizuno
Nagoya Mathematical Journal Vol.237 127 - 165 2020
Language：English Publishing type：Research paper (scientific journal)
DOI： 10.1017/nmj.2018.15
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Petersson norms of Eisensteisn series and Kohnen-Zagier's formula Reviewed
Yoshinori Mizuno
Journal de Theorie des Nombres de Bordeaux 32 ( 3 ) 665 - 684 2020
Language：English Publishing type：Research paper (scientific journal)
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Dirichlet series of two variables, real analytic Jacobi-Eisenstein series of matrix index, and Katok-Sarnak type result Reviewed
Yoshinori Mizuno
Forum Mathematicum Vol.30 ( No.6 ) 1437 - 1459 2018
Language：English Publishing type：Research paper (scientific journal)
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Kernel functions of the twisted symmetric square of elliptic modular forms Reviewed
Yoshinori Mizuno, Kohama Hayato
Mathematika Vol.64 184 - 210 2018
Language：English Publishing type：Research paper (scientific journal)
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On characterization of Siegel cusp forms of degree 2 by the Hecke bound Reviewed
Yoshinori Mizuno
Mathematika Vol.61 89 - 100 2015
Language：English Publishing type：Research paper (scientific journal)
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Spectral theory on 3-dimensional hyperbolic space and Hermitian modular forms Reviewed
Yoshinori Mizuno, Matthes Roland
Forum Mathematicum Vol.26 ( No.6 ) 1763 - 1806 2014
Language：English Publishing type：Research paper (scientific journal)
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On p-adic Hermitian-Eisenstein series and a p-adic Siegel cusp form Reviewed
Yoshinori Mizuno, Kikuta Toshiyuki
Journal of Number Theory Vol.132 ( No.9 ) 1949 - 1961 2012.09
Language：English Publishing type：Research paper (scientific journal)
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Dirichlet series associated with square of class numbers of binary quadratic forms Reviewed
Yoshinori Mizuno
Mathematische Zeitschrift Vol.272 ( No.3-4 ) 1115 - 1135 2012
Language：English Publishing type：Research paper (scientific journal)
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Regularized theta lift and formulas of Katok-Sarnak type Reviewed
Yoshinori Mizuno, Roland Matthes
Forum Mathematicum Vol.24 ( No.6 ) 1239 - 1267 2012
Language：English Publishing type：Research paper (scientific journal)
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Linear dependence of certain L-values of half-integral weight modular forms Reviewed
Yoshinori Mizuno, Hidenori Katsurada
Journal of the London Mathematical Society Vol.(2) 85 455 - 471 2012
Language：English Publishing type：Research paper (scientific journal)
DOI： 10.1112/jlms/jdr057
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Some congruences for Saito-Kurokawa lifts Reviewed
Yoshinori Mizuno, Shoyu Nagaoka
Abhandlungen aus dem Mathematischen Seminar der Universitaet Hamburg Vol.80 9 - 23 2010
Language：English Publishing type：Research paper (scientific journal)
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An explicit arithmetic formula for the Fourier coefficients of Siegel-Eisenstein series of degree two and square-free odd levels Reviewed
Yoshinori Mizuno
Mathematische Zeitschrift Vol.263 ( No.4 ) 837 - 860 2009.12
Language：English Publishing type：Research paper (scientific journal)
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Koecher-Maass series for positive definite Fourier coefficients of real analytic Siegel-Eisenstein series of degree 2 Reviewed
Yoshinori Mizuno
Bulletin of the London Mathematical Society Vol.41 ( No.6 ) 1017 - 1028 2009
Language：English Publishing type：Research paper (scientific journal)
DOI： 10.1112/blms/bdp080
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A p-adic limit of Siegel-Eisenstein series of prime level q Reviewed
Yoshinori Mizuno
International Journal of Number Theory Vol.4 ( No.5 ) 735 - 746 2008.10
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The Rankin-Selberg convolution for real analytic Cohen's Eisenstein series of half-integral weight Reviewed
Yoshinori Mizuno
Journal of the London Mathematical Society Vol.78 ( No.1 ) 183 - 197 2008.08
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On Fourier coefficients of Eisenstein series and Niebur Poincare series of integral weight Reviewed
Yoshinori Mizuno
Journal of Number Theory Vol.128 ( No.4 ) 898 - 909 2008.04
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On p-adic Siegel-Eisenstein series of weight k Reviewed
Yoshinori Mizuno
Acta Arithmetica Vol.131 ( No.2 ) 193 - 199 2008
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The spectral zeta function of the unit n-sphere and an integral treated by Ramanujan Reviewed
Yoshinori Mizuno
Kyushu Journal of Mathematics Vol.60 ( No.2 ) 317 - 330 2006.09
Language：English Publishing type：Research paper (scientific journal) Publisher：Faculty of Mathematics, Kyushu University
We introduce a certain Dirichlet series which is closely related to the spectral zeta function of the unit <I>n</I>-sphere. We prove basic properties of this Dirichlet series including a meromorphic continuation, a functional equation, and closed evaluation of values at some integers. These results are consequences of an integral representation of the Dirichlet series as an integral of a product of a polynomial and the Hurwitz zeta function. This integral has already appeared in Ramanujan's work independent of the Dirichlet series. The integral representation also gives another approach for evaluating the determinant of the Laplacian on the unit <I>n</I>-sphere.
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Generalized Lerch formulas: Examples of zeta-reguralized products Reviewed
Yoshinori Mizuno
Journal of Number Theory Vol.118 ( No.2 ) 155 - 171 2006.06
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An explicit formula of the Koecher-Maass series associated with Hermitian modular forms belonging to the Maass space Reviewed
Yoshinori Mizuno
Manuscripta Mathematica Vol.119 ( No.2 ) 159 - 181 2006.02
Language：English Publishing type：Research paper (scientific journal)
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The Rankin-Selberg convolution for Cohen's Eisenstein series of half integral weights Reviewed
Yoshinori Mizuno
Abhandlungen aus dem Mathematischen Seminar der Universitaet Hamburg Vol.75 1 - 20 2005.12
Language：English Publishing type：Research paper (scientific journal)
DOI： 10.1007/BF02942033
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