DISTINGUISHING HECKE EIGENFORMS-Reference-Cited by-同舟云学术

DISTINGUISHING HECKE EIGENFORMS

Published:2011-08 Issue:05 Volume:07 Page:1247-1253
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

GHITZA ALEXANDRU¹

Affiliation:

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

Abstract

We revisit a theorem of Ram Murty about the number of initial Fourier coefficients that two cuspidal eigenforms of different weights can have in common. We prove an explicit upper bound on this number, and give better conditional and unconditional asymptotic upper bounds. Finally, we describe a numerical experiment testing the sharpness of the upper bound in the case of forms of level one.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042111004708

Reference11 articles.

1. The Difference Between Consecutive Primes, II

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5. On the order of magnitude of the difference between consecutive prime numbers

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