On the action of the \(U_p\) operator on the local (at \(p\)) representation attached to congruence level Siegel modular forms
type: Item
instance of: scholarly article
title: On the action of the \(U_p\) operator on the local (at \(p\)) representation attached to congruence level Siegel modular forms
zbMATH Open document ID: 1434.11107
author: Krzysztof Klosin
author: Jim Brown
published in: The Ramanujan Journal
publication date: 2018-02-01T00:00:00Z
Mathematics Subject Classification ID: 11F67
Mathematics Subject Classification ID: 11F46
Mathematics Subject Classification ID: 11F70
zbMATH DE Number: 6833512
zbMATH Keywords: \(U_p\) operator
zbMATH Keywords: Petersson norm
zbMATH Keywords: Siegel modular form
MaRDI profile type: Publication
full work available at URL: s11139-016-9833-x
OpenAlex ID: W2538494568
cites work: Yoshida lifts and the Bloch-Kato conjecture for the convolution \(L\)-function
cites work: Arithmetic properties of the partition function
cites work: Congruence properties for the partition function
cites work: Arithmetic of singular moduli and class polynomials
cites work: Action of Hecke operator \(T(p)\) on theta series
cites work: Trace operator and theta series
cites work: Yoshida lifts and Selmer groups
cites work: Saito–Kurokawa lifts and applications to the Bloch–Kato conjecture
cites work: Familles p-adiques de formes automorphes pour GLn
cites work: On the infinite fern of Galois representations of unitary type
cites work: Q4249385
cites work: \(\ell\)-adic properties of the partition function. Appendix A by Nick Ramsey
cites work: Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
cites work: Congruences among modular forms on \(\text{U}(2,2)\) and the Bloch-Kato conjecture
cites work: Calculation of traces of theta series by means of the Weil representation
cites work: Die Primzahlen in der Theorie der Siegelschen Modulfunktionen. (The prime numbers in the theory of Siegel's modular functions)
cites work: Q3645677
cites work: Sign changes of Hecke eigenvalues of Siegel cusp forms of degree 2
cites work: Q3632046
cites work: Local newforms for \(\text{GSp}(4)\)
cites work: A Fixed-Point Formula for the Classical Groups Over a Finite Field
cites work: Eigenvarieties for reductive groups
cites work: Endoscopy for \(\mathrm{GSp}(4)\) and the cohomology of Siegel modular threefolds
DOI: 10.1007/S11139-016-9833-X
Recommended article: On the semi-simplicity of the \(U_p\)-operator on modular forms
Recommended article: The structure of Siegel modular forms modulo \(p\) and \(U(p)\) congruences
Recommended article: On the \(U_p\) operator acting on \(p\)-adic overconvergent modular forms when \(X_{0}(p)\) has genus 1
Recommended article: Q4207375
Recommended article: Congruences involving the \(U_{\ell}\) operator for weakly holomorphic modular forms
Recommended article: On Siegel modular forms of level \(p\) and their properties mod \(p\)
Recommended article: On p-Adic Properties of Siegel Modular Forms
Recommended article: \(\boldsymbol{U_p}\)-operators and congruences for Shimura images
Recommended article: THE -MODULAR LOCAL LANGLANDS CORRESPONDENCE AND LOCAL CONSTANTS
Recommended article: \(p\)-adic measures attached to Siegel modular forms
description: scientific article; zbMATH DE number 6833512