Variations of Ramanujan’s Euler Products-Reference-Cited by-同舟云学术

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Variations of Ramanujan’s Euler Products

Published:2021-06-14 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Koyama Shin-ya¹,Kurokawa Nobushige²

Affiliation:

1. Department of Biomedical Engineering, Toyo University, 2100 Kujirai, Kawagoe, Saitama 350-8585, Japan

2. Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152-8551, Japan

Abstract

Abstract We study the meromorphy of various Euler products of degree two attached to holomorphic Hecke eigen cusp forms for the elliptic modular group, including Ramanujan’s $\Delta $-function.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab112/38617216/rnab112.pdf

Reference17 articles.

1. A family of calabi-yau varieties and potential automorphy (ii);Barnet-Lamb;Kyoto University,2011

2. Théorie des mécanismes connus sous le nom de parallélogrammes;Chebyshev;Mémoires de l’Académie impériale des sciences de St. Pétersbourg,1854

3. Converse theorems, functoriality, and applications to number theory;Cogdell;Proceedings of the International Congress of Mathematicians,2002

4. La conjecture de weil (i);Deligne;Publications Mathématiques de l’IHÉS,1974

5. Boundedness of automorphic $\mathrm{l}$-functions in vertical strips;Gelbart;Journal of the American Mathematical Society,2001

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