✦ LIBER ✦

Elliptic Modular Forms Arising from Zeta Functions in Two Variables Attached to the Space of Binary Hermitian Forms

✍ Scribed by Takahiko Ueno

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 218 KB
Volume: 86
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.2000.2572

No coin nor oath required. For personal study only.

✦ Synopsis

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 zeta functions.