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On the Shintani zeta function for the space of binary quadratic forms

โœ Scribed by Akihiko Yukie


Publisher
Springer
Year
1992
Tongue
English
Weight
817 KB
Volume
292
Category
Article
ISSN
0025-5831

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Elliptic Modular Forms Arising from Zeta
โœ Takahiko Ueno ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 218 KB

We associate zeta functions in two variables with the vector space of binary hermitian forms and prove their functional equation. From Weil's converse theorem, we can show that the Mellin inverse transforms of these zeta functions give elliptic modular forms if they are specialized to one-variable z