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DIVISORS OF FOURIER COEFFICIENTS OF TWO NEWFORMS
Journal
Pacific Journal of Mathematics
ISSN
00308730
Date Issued
2024-01-01
Author(s)
Kumar, Arvind
Abstract
For a pair of distinct non-CM newforms of weights at least 2 and having rational integral Fourier coefficients a1 (n) and a2 (n), under GRH, we obtain an estimate for the set of primes p such that w where ω(n) denotes the number of distinct prime divisors of an integer n and k is the maximum of their weights. As an application, under GRH, we show that the number of primes giving congruences between two such newforms is bounded by [7k + 1/2 + k1/5]. We also obtain a multiplicity-one result for newforms via congruences.
Volume
326
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