Variants of Recognition Problems for Modular Forms
نویسنده
چکیده
We consider the problem of distinguishing two modular forms, or two elliptic curves, by looking at the coefficients of their L-functions for small primes (compared to their conductor). Using analytic methods based on large-sieve type inequalities we give various upper bounds on the number of forms having the first few coefficients equal to those of a fixed one. In addition, we consider similar questions of “recognizing” symmetric squares and CM forms from the behavior of small primes.
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