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

We associate zeta functions in two variables with the vector space of binary hermitian forms and prove their functional equation. From Weilʹs 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.