12 citations · 35 across the 12 of their papers we have counts for
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Hecke Subalgebras and Local Newforms for the Metaplectic Double Cover of
Ehud Moshe Baruch, Markos Karameris, Soma Purkait
Let be an odd prime, and let and denote the inverse images of and the congruence su…
Newforms of half-integral weight: the minus space of S_{k+1/2}(Γ_0(8M))
Ehud Moshe Baruch, Soma Purkait
We compute generators and relations for a certain -adic Hecke algebra of level associated with the double cover of and a -adic Hecke algebra of level …
Newforms of half-integral weight: the minus space counterpart
Ehud Moshe Baruch, Soma Purkait
We define a subspace of the space of holomorphic modular forms of weight and level where is odd and square-free. We show that this subspace is isomorphic under the…
Hecke algebras, new vectors and new forms on
Ehud Moshe Baruch, Soma Purkait
We characterize the space of new forms for as a common eigenspace of certain Hecke operators which depend on primes dividing the level . To do that we find generato…
Central value of automorphic functions
Ehud Moshe Baruch, Zhengyu Mao
We prove a generalization to the totally real field case of the Waldspurger's formula relating the Fourier coefficient of a half integral weight form and the central value of the L…