Youness Lamzouri, IECL
Title: Real zeros of Fekete polynomials and applications.
Abstract: Fekete polynomials are certain Littlewood type polynomials whose coefficients are the values of a quadratic Dirichlet character. These polynomials were considered by Fekete in an attempt to understand real zeros of Dirichlet L-functions in the critical strip. Since then, their zeros and value distribution have been extensively studied. In this talk I will present some recent results concerning real zeros of Fekete polynomials. We shall also discuss applications to sign changes of quadratic character sums and zeros of theta functions. This is a joint work with O. Klurman and M. Munsch.
Québec-Vermont Number Theory
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