Results 11 to 20 of about 1,096 (47)
On a convolution series attached to a Siegel Hecke cusp form of degree 2
Ramanujan Journal, 2013 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 formula for the partial sums of the squares of the eigenvalues of $F$ with ...
Das, Soumya +2 more
core +3 more sources
On modular Galois representations modulo prime powers [PDF]
, 2012 We study modular Galois representations mod $p^m$. We show that there are three progressively weaker notions of modularity for a Galois representation mod $p^m$: we have named these `strongly', `weakly', and `dc-weakly' modular.
Chen, Imin, Kiming, Ian, Wiese, Gabor
core +3 more sources
, 2017 In this article, the authors give a lower bound on the number of sign changes of Fourier coefficients of a non-zero degree two Siegel cusp form of even integral weight on a Hecke congruence subgroup.
Gun, S., Sengupta, J.
core +1 more source
On the gaps between non-zero Fourier coefficients of cusp forms of higher weight [PDF]
, 2016 We show that if a modular cuspidal eigenform $f$ of weight $2k$ is $2$-adically close to an elliptic curve $E/\mathbb{Q}$, which has a cyclic rational $4$-isogeny, then $n$-th Fourier coefficient of $f$ is non-zero in the short interval $(X, X + cX ...
Kumar, Narasimha
core +2 more sources
Ramanujan type congruences for the Klingen-Eisenstein series
, 2014 In the case of Siegel modular forms of degree $n$, we prove that, for almost all prime ideals $\frak{p}$ in any ring of algebraic integers, mod $\frak{p}^m$ cusp forms are congruent to true cusp forms of the same weight.
Kikuta, Toshiyuki, Takemori, Sho
core +1 more source
Hilbert modular forms and p-adic Hodge theory
, 2006 We consider the p-adic Galois representation associated to a Hilbert modular form. We show the compatibility with the local Langlands correspondence at a place divising p under a certain assumption. We also prove the monodromy-weight conjecture.
Carayol +6 more
core +1 more source
Bounds on sup-norms of half-integral weight modular forms
, 2014 Bounding sup-norms of modular forms in terms of the level has been the focus of much recent study. In this work the sup norm of a half integral weight cusp form is bounded in terms of the level.Comment: 11 pages.
Kiral, Eren Mehmet
core +1 more source
The cubic moment of central values of automorphic L-functions
, 2000 The authors study the central values of L-functions in certain families; in particular they bound the sum of the cubes of these values.Contents:Comment: 42 pages, published ...
Conrey, J. Brian, Iwaniec, Henryk
core +2 more sources
, 2013 Let $k$ be an odd integer $\ge 3$ and $N$ a positive integer such that $4 \mid N$. Let $\chi$ be an even Dirichlet character modulo $N$. Shimura decomposes the space of half-integral weight cusp forms $S_{k/2}(N,\chi)$ as a direct sum of $S_0(N,\chi ...
Kohnen W. +3 more
core +1 more source
Rigidity of p-adic cohomology classes of congruence subgroups of GL(n, Z)
, 2006 We extend the work of Ash and Stevens [Ash-Stevens 97] on p-adic analytic families of p-ordinary arithmetic cohomology classes for GL(N,Q) by introducing and investigating the concept of p-adic rigidity of arithmetic Hecke eigenclasses.
Ash, Avner +2 more
core +1 more source