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math.NT2013
On a convolution series attached to a Siegel Hecke cusp form of degree 2
Soumya Das, Winfried Kohnen, Jyoti Sengupta
We prove that the "naive" convolution Dirichlet series D_2(s) attached to a degree 2 Siegel Hecke cusp form F, has a pole at s=1. As an application, we write down the asymptotic fo…
math.NT2013
L^\infty norms of holomorphic modular forms in the case of compact quotient
Soumya Das, Jyoti Sengupta
We prove a sub-convex estimate for the sup-norm of -normalized holomorphic modular forms of weight on the upper half plane, with respect to the unit group of a quaternion…