Exponential decay in the frequency of analytic ranks of automorphic L-functions

D. R. Heath‐Brown, Philippe Michel

Type: Article

Publication Date: 2000-05-01

Citations: 7

DOI: https://doi.org/10.1215/s0012-7094-00-10235-9

Abstract

This note should be seen as a appendum to the work of E. Kowalski and the second author [KM1] and deals with the problem of bounding unconditionnally the order of vanishing at the critical point in a family of L functions. This problem is illustrated in the particular case of L functions of weight 2 primitive modular forms of prime level. Recall the notations from [KM1]: for q a prime number, let S2(q) be the set of primitive forms of weight 2 and level q, normalized so that their first fourier coefficient is 1; for

Locations

Duke Mathematical Journal - View
Infoscience (Ecole Polytechnique Fédérale de Lausanne) - View - PDF
Oxford University Research Archive (ORA) (University of Oxford) - View - PDF

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