Papers - MIZUNO Yoshinori
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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
