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Congruences for modular forms of weights two and four

โœ Scribed by Scott Ahlgren; Mugurel Barcau

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
113 KB
Volume
126
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

We prove a conjecture of Calegari and Stein regarding mod p congruences between modular forms of weight four and the derivatives of modular forms of weight two.

๐Ÿ“œ SIMILAR VOLUMES

Weight-dependent congruence properties o
Weight-dependent congruence properties of modular forms
โœ D. Choi; Y. Choie ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 159 KB

In this paper, we study congruence properties of modular forms in various ways. By proving a weightdependent congruence property of modular forms, we give some sufficient conditions, in terms of the weights of modular forms, for a modular form to be non-p-ordinary. As applications of our main theore