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Tokushima University > Graduate School of Technology, Industrial and Social Sciences > 理工学域 > 数理科学系 > 数理解析分野 >
Tokushima University > Faculty of Science and Technology > Department of Science and Technology > Mathematical and Natural Sciences > Mathematical Methods in Sciences >
Tokushima University > Faculty of Engineering > Center for Mathematics and Physics in Engineering Education > Fundamentals of Engineering >
Tokushima University > Graduate School of Advanced Technology and Science > Systems Innovation Engineering > Electrical and Electronic Engineering > Electrical and Electronic Systems >

Research Activity

Field of Study

保型形式と整数論

Subject of Study

保型形式の明示的研究

Book / Paper

Academic Paper (Judged Full Paper):

1.Yoshinori Mizuno and Kohama Hayato :
Kernel functions of the twisted symmetric square of elliptic modular forms, accepted by Mathematika,
Mathematika, 2017.
2.Yoshinori Mizuno :
On characterization of Siegel cusp forms of degree 2 by the Hecke bound,
Mathematika, Vol.61, pp.89--100, 2015.
(DOI: 10.1112/S002557931400014X,   Thomson Reuters: Web of Science™,   Elsevier: Scopus)
3.Yoshinori Mizuno and Matthes Roland :
Spectral theory on 3-dimensional hyperbolic space and Hermitian modular forms,
Forum Mathematicum, Vol.26, No.6, pp.1763--1806, 2014.
(DOI: 10.1515/forum-2011-0113,   CiNii: 120005597263,   Thomson Reuters: Web of Science™,   Elsevier: Scopus)
4.Yoshinori Mizuno and Kikuta Toshiyuki :
On p-adic Hermitian-Eisenstein series and a p-adic Siegel cusp form,
Journal of Number Theory, Vol.132, No.9, pp.1949--1961, 2012.
(DOI: 10.1016/j.jnt.2012.03.003)
5.Yoshinori Mizuno :
Dirichlet series associated with square of class numbers of binary quadratic forms,
Mathematische Zeitschrift, Vol.272, No.3-4, pp.1115--1135, 2012.
(DOI: 10.1007/s00209-012-0979-y,   Thomson Reuters: Web of Science™)
6.Yoshinori Mizuno and Roland Matthes :
Regularized theta lift and formulas of Katok-Sarnak type,
Forum Mathematicum, Vol.24, No.6, pp.1239--1267, 2012.
(DOI: 10.1515/FORM.2011.103,   Thomson Reuters: Web of Science™)
7.Yoshinori Mizuno and Hidenori Katsurada :
Linear dependence of certain L-values of half-integral weight modular forms,
Journal of the London Mathematical Society, Vol.(2) 85, pp.455--471, 2012.
(DOI: 10.1112/jlms/jdr057,   Thomson Reuters: Web of Science™)
8.Yoshinori Mizuno and Shoyu Nagaoka :
Some congruences for Saito-Kurokawa lifts,
Abhandlungen aus dem Mathematischen Seminar der Universitaet Hamburg, Vol.80, pp.9--23, 2010.
(DOI: 10.1007/s12188-009-0029-9,   Thomson Reuters: Web of Science™)
9.Yoshinori Mizuno :
An explicit arithmetic formula for the Fourier coefficients of Siegel-Eisenstein series of degree two and square-free odd levels,
Mathematische Zeitschrift, Vol.263, No.4, pp.837--860, 2009.
(DOI: 10.1007/s00209-008-0442-2,   Thomson Reuters: Web of Science™)
10.Yoshinori Mizuno :
Koecher-Maass series for positive definite Fourier coefficients of real analytic Siegel-Eisenstein series of degree 2,
Bulletin of the London Mathematical Society, Vol.41, No.6, pp.1017--1028, 2009.
(DOI: 10.1112/blms/bdp080,   CiNii: 120004710050)
11.Yoshinori Mizuno :
The Rankin-Selberg convolution for real analytic Cohen's Eisenstein series of half-integral weight,
Journal of the London Mathematical Society, Vol.78, No.1, pp.183--197, 2008.
(DOI: 10.1112/jlms/jdn021)
12.Yoshinori Mizuno :
On Fourier coefficients of Eisenstein series and Niebur Poincare series of integral weight,
Journal of Number Theory, Vol.128, No.4, pp.898--909, 2008.
(DOI: 10.1016/j.jnt.2007.10.012)
13.Yoshinori Mizuno :
A p-adic limit of Siegel-Eisenstein series of prime level q,
International Journal of Number Theory, Vol.4, No.5, pp.735--746, 2008.
(DOI: 10.1142/S1793042108001729,   Thomson Reuters: Web of Science™)
14.Yoshinori Mizuno :
On p-adic Siegel-Eisenstein series of weight k,
Acta Arithmetica, Vol.131, No.2, pp.193--199, 2008.
(DOI: 10.4064/aa131-2-6)
15.Yoshinori Mizuno :
The spectral zeta function of the unit n-sphere and an integral treated by Ramanujan,
Kyushu Journal of Mathematics, Vol.60, No.2, pp.317--330, 2006.
(DOI: 10.2206/kyushujm.60.317,   CiNii: 130000063143,   Thomson Reuters: Web of Science™)
16.Yoshinori Mizuno :
Generalized Lerch formulas: Examples of zeta-reguralized products,
Journal of Number Theory, Vol.118, No.2, pp.155--171, 2006.
(DOI: 10.1016/j.jnt.2005.08.005,   Thomson Reuters: Web of Science™,   Elsevier: Scopus)
17.Yoshinori Mizuno :
An explicit formula of the Koecher-Maass series associated with Hermitian modular forms belonging to the Maass space,
Manuscripta Mathematica, Vol.119, No.2, pp.159--181, 2006.
(DOI: 10.1007/s00229-005-0613-y,   Thomson Reuters: Web of Science™,   Elsevier: Scopus)
18.Yoshinori Mizuno :
The Rankin-Selberg convolution for Cohen's Eisenstein series of half integral weights,
Abhandlungen aus dem Mathematischen Seminar der Universitaet Hamburg, Vol.75, pp.1--20, 2005.
(DOI: 10.1007/BF02942033,   Thomson Reuters: Web of Science™)

Proceeding of International Conference:

1.Yoshinori Mizuno :
Katok-Sarnak type result for Eisenstein series on O(1,m+1),
School on Mock Modular Forms and Related Topics, Kyushu University, Nov. 21 -- 25, 2016, Nov. 2016.
2.Yoshinori Mizuno :
Dirichlet series of two variables arising from real analytic JacobiEisenstein series of matrix index,
Zeta Functions of Several Variables and Applications, Nagoya University,, Nov. 2015.

Proceeding of Domestic Conference:

1.Yoshinori Mizuno :
An explicit form of genus character L-functions and its applications,
第11回福岡数論研究集会, 九州大学, Aug. 2017.
2.Yoshinori Mizuno :
Dirichlet series of 3 variables and Koecher-Maass series of non-holomorphic Siegel-Eisenstein series,
神戸整数論ミニ集会, 神戸大学, May 2015.
3.Yoshinori Mizuno :
3変数ディリクレ級数と非正則ジーゲル・アイゼンシュタイン級数のケッヒャー・マース級数,
「第8回ゼータ若手研究集会」, 名古屋大学, Feb. 2015.
4.Yoshinori Mizuno :
Dirichlet series of 3 variables and Koecher-Maass series of non-holomorphic Siegel-Eisenstein series,
京都大学数理解析研究所集会 「モジュラー形式と保型表現」, Feb. 2015.
5.Yoshinori Mizuno :
Kernel of twisted symmetric square of elliptic modular forms,
第8回福岡数論研究集会, 九州大学, Aug. 2013.
6.Yoshinori Mizuno :
Kernel of twisted symmetric square of elliptic modular forms,
第2回京都保型形式研究集会, 京都大学, Jun. 2013.
7.Yoshinori Mizuno :
Kernel of twisted symmetric square of elliptic modular forms,
Workshop on modular forms and Jacobi forms, 上越教育大学, Jun. 2013.
8.Yoshinori Mizuno :
On characterization of Siegel cusp forms of degree 2 by the Hecke bound,
Workshop on modular forms, Kyushu university, Sep. 2012.
9.Yoshinori Mizuno :
Dirichlet series associated with square of class numbers of binary quadratic forms,
早稲田大学整数論研究集会2012, Mar. 2012.
10.Yoshinori Mizuno :
Dirichlet series associated with square of class numbers of binary quadratic forms,
L-functions of automorphic forms and related problems, Tokyo university, Mar. 2012.
11.Yoshinori Mizuno :
数論的古典解析の話題から,
保型形式ミニ研究集会, 近畿大学, Mar. 2012.
12.Yoshinori Mizuno :
二元二次形式の類数の自乗に付随するディリクレ級数について,
第5回ゼータ若手研究集会, 名古屋大学, Feb. 2012.
13.Yoshinori Mizuno :
Dirichlet series associated with square of the class numbers,
京都大学数理解析研究所研究集会「保型形式と関連する跡公式,ゼータ関数の研究」, Jan. 2011.
14.Yoshinori Mizuno :
Spectral theory on 3-dimensional hyperbolic space and Hermitian modular forms (a joint work with R. Matthes),
「第4回福岡数論研究集会」, Aug. 2009.
15.Yoshinori Mizuno and 桂田 英典 :
An explicit formula for the twisted Koecher-Maass series of the Saito-Kurokawa lift and its applications,
京都大学数理解析研究所研究集会「保型表現と保型L-関数の数論的研究」, Jan. 2009.
16.Yoshinori Mizuno :
Siegel-Eisenstein級数のp進極限,
日本数学会2007年度年会, Mar. 2007.
17.Yoshinori Mizuno :
A p-adic limit of Siegel-Eisenstein series of prime level q,
京都大学数理解析研究所共同研究集会「保型形式とその周期の構成と応用」, Jan. 2007.
18.Yoshinori Mizuno :
An explicit arithmetic formula for the Fourier coefficients of Siegel-Eisenstein series of degree two with square free odd level,
京都大学数理解析研究所共同研究集会「保型表現・L函数・周期の研究」, Jan. 2006.
19.Yoshinori Mizuno :
Generalized Lerch formula,
京都大学数理解析研究所共同研究集会「代数的整数論とその周辺」, Dec. 2004.
20.Yoshinori Mizuno :
Koecher-Maass series for real analytic Siegel-Eisenstein series of degree two,
2004 数論セミナー静岡, 静岡大学, Aug. 2004.
21.Yoshinori Mizuno :
An explicit formula of Koecher-Maass series associated with Hermitian Eisenstein series of degree two,
早稲田大学整数論研究集会2002, Mar. 2002.

Et cetera, Workshop:

1.Yoshinori Mizuno :
行列指数のヤコビ・アイゼンシュタイン級数に付随する2変数ディリクレ級数,
「概均質セミナー」, 早稲田大学, Oct. 2015.
2.Yoshinori Mizuno :
行列指数のヤコビ・アイゼンシュタイン級数に付随する2変数ディリクレ級数,
「数論合同セミナー」, 京都大学, Oct. 2015.
3.Yoshinori Mizuno :
書評「整数の分割」,
数学通信, Vol.15, No.2, pp.142--144, 2010.
4.Yoshinori Mizuno :
Zagier's Rankin-Selberg method and Koecher-Maass series,
第11回整数論オータムワークショップ, Sep. 2008.
5.Yoshinori Mizuno and Roland Matthes :
Two applications of the spectral theory on the three dimensional hyperbolic space to Hermitian modular forms,
Modulformen, Nov. 2007.
6.Yoshinori Mizuno :
An explicit formula for Fourier coefficients of Siegel-Eisenstein series of degree two on congruence subgroups,
Formes de Jacobi et Applications, May 2007.
7.Yoshinori Mizuno :
A p-adic limit of Siegel-Eisenstein series of prime level $q$,
UK-JAPAN Winter School 2007, Jan. 2007.
8.Yoshinori Mizuno :
An explicit arithmetic formula for the Fourier coefficients of Siegel-Eisenstein series of degree two with square free odd level,
Workshop on Noncomutativity, Nov. 2006.
9.Yoshinori Mizuno :
Koecher-Maass series for real analytic Siegel-Eisenstein series of degree two (the case for positive definite),
第8回整数論オータムワークショップ, Sep. 2005.
10.Yoshinori Mizuno :
Koecher-Maass series for real analytic Siegel-Eisenstein series of degree two,
Japanese-German number theory workshop, Jul. 2005.
11.Yoshinori Mizuno :
Rankin-Selberg convolution for Cohen type Eisenstein series,
京都大学数理解析研究所共同研究集会「解析的数論の新しい展開」, Nov. 2001.

Report:

1.Yoshinori Mizuno :
Dirichlet series of 3 variables and Koecher-Maass series of non-holomorphic Siegel-Eisenstein series,
京都大学数理解析研究所講究録 「モジュラー形式と保型表現」, Vol.No. 1973, pp.76--91, 2016.
2.Yoshinori Mizuno :
Kernels of twisted symmetric square of elliptic modular forms,
「第8回福岡数論研究集会報告集」, 57--69, 2014.
3.Yoshinori Mizuno :
Dirichlet series associated with square of class numbers of binary quadratic forms,
早稲田大学整数論研究集会2012報告集,pp 16--27, Mar. 2012.
4.Yoshinori Mizuno :
Dirichlet series associated with square of the class numbers,
京都大学数理解析研究所講究録 「保型形式と関連する跡公式, ゼータ関数の研究」, Vol.No. 1767, pp.161--170, 2011.
5.Yoshinori Mizuno :
Spectral theory on 3-dimensional hyperbolic space and Hermitian modular forms (a joint work with R. Matthes),
「第4回福岡数論研究集会報告集」, pp.23--33, 2009.
6.Yoshinori Mizuno and 桂田 英典 :
An explicit formula for the twisted Koecher-Maass series of the Saito-Kurokawa lift and their applications,
京都大学数理解析研究所講究録, 「保型表現と保型L-関数の数論的研究」, Vol.1659, pp.47--58, 2009.
7.Yoshinori Mizuno :
Explicit forms for Koecher-Maass series and their applications,
The COE Seminar on Mathematical Sciences, Vol.37, pp.51--67, 2008.
8.Yoshinori Mizuno and Roland Matthes :
Two applications of the spectral theory on the three dimensional hyperbolic space to Hermitian modular forms,
Oberwolfach report Modulformen, Vol.4, 2007.
9.Yoshinori Mizuno :
An explicit arithmetic formula for the Fourier coefficients of Siegel-Eisenstein series of degree two with square free odd level,
京都大学数理解析研究所講究録, Vol.1523, pp.131--147, 2007.
10.Yoshinori Mizuno :
Koecher-Maass series for real analytic Siegel-Eisenstein series of degree two (the case for positive definite),
第8回整数論オータムワークショップ報告集, pp.217--230, 2006.
11.Yoshinori Mizuno :
Generalized Lerch formulas,
京都大学数理解析研究所講究録, Vol.1451, pp.51--60, 2005.
12.Yoshinori Mizuno :
Koecher-Maass series for real analytic Siegel-Eisenstein series of degree two,
2004数論セミナー静岡報告集, pp.141--144, 2004.
13.Yoshinori Mizuno :
An explicit formula of Koecher-Maass series associated with Hermitian Eisenstein series of degree two,
早稲田大学整数論研究集会2002報告集, pp.13--26, 2002.
14.Yoshinori Mizuno :
Rankin-Selberg convolution for Cohen type Eisenstein series,
京都大学数理解析研究所講究録, Vol.1274, pp.183--192, 2002.