On modular signs
E. KOWALSKI, Y.-K. LAU, K. SOUNDARARAJAN, J. WU
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Source: Crossref
Published: Jul 19, 2010
DOI: 10.1017/s030500411000040x
Open original source ↗Source abstract
Abstract We consider some questions related to the signs of Hecke eigenvalues or Fourier coefficients of classical modular forms. One problem is to determine to what extent those signs, for suitable sets of primes, determine uniquely the modular form, and we give both individual and statistical results. The second problem, which has been considered by a number of authors, is to determine the size, in terms of the conductor and weight, of the first sign-change of Hecke eigenvalues. Here we improve the recent estimate of Iwaniec, Kohnen and Sengupta.
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