Distinguishing newforms-Reference-Cited by-同舟云学术

Distinguishing newforms

Published:2015-03-31 Issue:03 Volume:11 Page:893-908
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Chow Sam¹,Ghitza Alexandru²

Affiliation:

1. Department of Mathematics, University of Bristol, University Walk Clifton, Bristol BS8 1TW, UK

2. Department of Mathematics and Statistics, University of Melbourne, Parkville, VIC 3010, Australia

Abstract

Let n0(N, k) be the number of initial Fourier coefficients necessary to distinguish newforms of level N and even weight k. We produce extensive data to support our conjecture that if N is a fixed squarefree positive integer and k is large then n0(N, k) is the least prime that does not divide N.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042115500499

Reference19 articles.

1. Hecke operators on ?0(m)

2. On the number of Fourier coefficients that determine a Hilbert modular form

3. F. Diamond and J. Im, Seminar on Fermat's Last Theorem, CMS Conference Proceedings 17 (American Mathematical Society, 1995) pp. 39–133.

4. F. Diamond and J. Shurman, A First Course in Modular Forms (Springer) p. 2005.

5. DISTINGUISHING HECKE EIGENFORMS

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