Modular forms with large coefficient fields via congruences

Dieulefait, Luis; Jiménez Urroz, Jorge; Ribet, Keneth

doi:10.1007/s40993-015-0003-9

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Dieulefait, Luis

Jiménez Urroz, Jorge

Ribet, Keneth

Document typeArticle

Defense date2015-05-01

PublisherSpringer

Rights accessOpen Access

Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain

Abstract

We use the theory of congruences between modular forms to prove the existence of newforms with square-free level having a fixed number of prime factors such that the degree of their coefficient fields is arbitrarily large. We also prove a similar result for certain almost square-free levels.

CitationDieulefait, L., Jimenez, J., Ribet, K. Modular forms with large coefficient fields via congruences. "research in number theory", 01 Maig 2015, vol. 1, núm. 2, p. 1-14.

URIhttp://hdl.handle.net/2117/81139

DOI10.1007/s40993-015-0003-9

ISSN2363-9555

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