On \(p\)-adic Siegel-Eisenstein Series from a point of view of the theory of \(\bmod\, p^m\) singular forms

DOI10.1007/s00229-024-01571-1MaRDI QIDQ6593248

Siegfried Böcherer, Toshiyuki Kikuta

Publication date: 26 August 2024

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Congruences for modular and (p)-adic modular forms (11F33)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On mod \(p\) singular modular forms
• \(p\)-adic Siegel-Eisenstein series of degree two
• Über die Fourierkoeffizienten der Siegelschen Eisensteinreihen
• Some congruences for Saito-Kurokawa lifts
• The Siegel operator and Hecke operators
• Syntomic regulators and special values of \(p\)-adic \(L\)-functions
• Trace operator and theta series
• Siegel Eisenstein series of arbitrary level and theta series
• Newforms and functional equations
• On some \(p\)-adic properties of Siegel-Eisenstein series.
• A remark on Serre's example of \(p\)-adic Eisenstein series
• Lifting modular forms of half-integral weight to Siegel modular forms of even genus
• \(p\)-adic multiple zeta values. I: \(p\)-adic multiple polylogarithms and the \(p\)-adic KZ equation
• On integrality of Eisenstein liftings
• On a correspondence between p-adic Siegel–Eisenstein series and genus theta series
• An Explicit Formula for Siegel Series
• On p-adic Siegel–Eisenstein series of weight k
• GENUS THETA SERIES, HECKE OPERATORS AND THE BASIS PROBLEM FOR EISENSTEIN SERIES
• A p-ADIC LIMIT OF SIEGEL–EISENSTEIN SERIES OF PRIME LEVEL q
• On \(p\)-adic Siegel Eisenstein series

This page was built for publication: On \(p\)-adic Siegel-Eisenstein Series from a point of view of the theory of \(\bmod\, p^m\) singular forms