منابع مشابه
Ramanujan Congruences for Siegel Modular Forms
We determine conditions for the existence and non-existence of Ramanujan-type congruences for Jacobi forms. We extend these results to Siegel modular forms of degree 2 and as an application, we establish Ramanujan-type congruences for explicit examples of Siegel modular forms.
متن کاملSiegel Modular Forms
These are the lecture notes of the lectures on Siegel modular forms at the Nordfjordeid Summer School on Modular Forms and their Applications. We give a survey of Siegel modular forms and explain the joint work with Carel Faber on vector-valued Siegel modular forms of genus 2 and present evidence for a conjecture of Harder on congruences between Siegel modular forms of genus 1 and 2.
متن کاملCongruences via Modular Forms
We prove two congruences for the coefficients of power series expansions in t of modular forms where t is a modular function. As a result, we settle two recent conjectures of Chan, Cooper and Sica. Additionally, we provide tables of congruences for numbers which appear in similar power series expansions and in the study of integral solutions of Apéry-like differential equations.
متن کاملSaito-kurokawa Lifts, L-values for Gl2, and Congruences between Siegel Modular Forms
Saito-Kurokawa Lifts, L-values for GL2, and Congruences Between Siegel ModularForms
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2011
ISSN: 0373-0956,1777-5310
DOI: 10.5802/aif.2646