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Strong multiplicity one for the Selberg class
Author(s) -
Farmer Michael
Publication year - 2021
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/mtk.12093
Subject(s) - mathematics , selberg trace formula , multiplicity (mathematics) , dirichlet series , class (philosophy) , dirichlet distribution , pure mathematics , mathematical analysis , riemann hypothesis , artificial intelligence , computer science , boundary value problem
We study the problem of determining elements of the Selberg class by information on the coefficients of the Dirichlet series at the squares of primes, or information about the zeroes of the functions.