On the density of the odd values of the partition function
, 2017 The purpose of this note is to introduce a new approach to the study of one of the most basic and seemingly intractable problems in partition theory, namely the conjecture that the partition function $p(n)$ is equidistributed modulo 2.
Judge, Samuel D. +2 more
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On p-adic properties of Siegel modular forms
, 2013 We show that Siegel modular forms of level \Gamma_0(p^m) are p-adic modular forms. Moreover we show that derivatives of such Siegel modular forms are p-adic. Parts of our results are also valid for vector-valued modular forms.
Boecherer, Siegfried, Nagaoka, Shoyu
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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
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A level raising result for modular Galois representations modulo prime powers [PDF]
, 2012 In this work we provide a level raising theorem for $\mod \lambda^n$ modular Galois representations. It allows one to see such a Galois representation that is modular of level $N$, weight 2 and trivial Nebentypus as one that is modular of level $Np$, for
Tsaknias, Panagiotis
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Fontaine-Laffaille modules and strongly divisible modules
, 2019 In this note, we study the relation between Fontaine-Laffaille modules and strongly divisible modules, without assuming the main theorem of Fontaine-Laffaille (but we need to assume the main results concerning strongly divisible modules).
Gao, Hui
core
Converse theorems and the local Langlands correspondence in families. [PDF]
Invent Math, 2018 Helm D, Moss G.
europepmc +1 more source
Congruences for the coefficients of weakly holomorphic modular forms
, 2006 Stephanie Treneer
semanticscholar +1 more source
Influenza virus surveillance in Argentina during the 2012 season: antigenic characterization, genetic analysis and antiviral susceptibility. [PDF]
Epidemiol Infect, 2016 Benedetti E +10 more
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Heegner points and p-adic L-functions for elliptic curves over certain totally real fields
, 2011 Chung Pang Mok
semanticscholar +1 more source
Interpolating coefficient systems and $p$-ordinary cohomology of arithmetic groups
, 2011 G. Harder
semanticscholar +1 more source