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Unimodularity of zeros of period polynomials of Hecke eigenforms
Author(s) -
ElGuindy Ahmad,
Raji Wissam
Publication year - 2014
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdu007
Subject(s) - mathematics , period (music) , pure mathematics , unit circle , combinatorics , acoustics , physics
We prove that all the zeros of the full period function of any Hecke eigenform lie on the unit circle | z | = 1 .