On modular signs
By Emmanuel Kowalski, Y. Lau, Kannan Soundararajan, Jie Wu. Mathematical Proceedings of the Cambridge Philosophical Society, 2009
88 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/78953d03a1d0f85aa08eca0133454fd3adfa61a5
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In Algebra and Number Theory
In Mathematical Physics
Citations in the corpus
- On signs of Fourier coefficients of cusp forms (2011, methodology): “Most recently Kowalski, Lau, Soundararajan and Wu [14] have shown that n f Q9/20.”