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Journal of Mathematics and Physics, 2018
In the study of periodic media, conditionally convergent series are frequently encountered and their regularization is crucial for applications. We derive an identity that regularizes two-dimensional phase-modulated Eisenstein series for all Bravais ...
Parry Y. Chen +2 more
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In the study of periodic media, conditionally convergent series are frequently encountered and their regularization is crucial for applications. We derive an identity that regularizes two-dimensional phase-modulated Eisenstein series for all Bravais ...
Parry Y. Chen +2 more
semanticscholar +1 more source
The Ramanujan Journal, 2007
S. Ramanujan gave fourteen families of series in his Second Notebook in Chap. 17, Entries 13–17. In each case he gave only the first few examples, giving us the motivation to find and prove a general formula for each family of series. The aim of this paper is to develop a powerful tool (four versatile functions f 0,f
Heung Yeung Lam, Shaun Cooper
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S. Ramanujan gave fourteen families of series in his Second Notebook in Chap. 17, Entries 13–17. In each case he gave only the first few examples, giving us the motivation to find and prove a general formula for each family of series. The aim of this paper is to develop a powerful tool (four versatile functions f 0,f
Heung Yeung Lam, Shaun Cooper
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Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2001
Let G =R es E/F H where H is a connected reductive group over a number field F and E/F is a quadratic extension. We study the regularized integral of an automorphic form of G on H(F ) \ H(A) 1 . 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS Periodes des series d'Eisenstein Resume.
Erez Lapid, Jonathan Rogawski
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Let G =R es E/F H where H is a connected reductive group over a number field F and E/F is a quadratic extension. We study the regularized integral of an automorphic form of G on H(F ) \ H(A) 1 . 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS Periodes des series d'Eisenstein Resume.
Erez Lapid, Jonathan Rogawski
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Eisenstein series on the symplectic group
Journal of Soviet Mathematics, 1977Analytic continuation is proved for certain Eisenstein series on the symplectic group which are associated with nonparabolic forms. In the case of the full modular group an explicit functional equation is obtained, and the singularities of the series are completely described.
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Eisenstein Series and Applications
2008Preface.-Twisted Weyl Group Multiple Dirichlet Series: The Stable Case by Ben Brubaker, Daniel Bump, Solomon Friedberg.-A Topological Model for some Summand of the Eisenstein Cohomology of Congruence Subgroups by Jens Franke.-The Saito-Lurokawa Space of PGSp4 and its Transfer to Inner Forms by Wee Teck Gan.-Values of Archimedean Zeta Integrals for ...
Stephen S. Kudla +2 more
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Construction of Eisenstein Series
2012In this section we study the following two problems: construct a basis of the Eisenstein space e(4N, k+1/2, χl) which are eigenfunctions for all Hecke operators, and calculate their values at all cusp points.
Dingyi Pei, Xueli Wang
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The Rationality and Eisenstein Series
2011We employ the symbols Q and Qab defined in §0.1, which are the algebraic closure of Q in C and the maximal abelian extension of Q in ...
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Fourier coefficients of real analytic Eisenstein series at various cusps (II)
, 2020Huake Liu, Tianqin Wang
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Human papillomavirus vaccination 2020 guideline update: American Cancer Society guideline adaptation
Ca-A Cancer Journal for Clinicians, 2020Robert A Smith
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