Some Non-Gorenstein Hecke Algebras Attached to Spaces of Modular Forms

Elliptic Modular Forms Arising from Zeta

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

✍ Takahiko Ueno 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 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