Large sieve inequalities via subharmonic methods and the Mahler measure of the Fekete polynomials Academic Article uri icon

abstract

  • AbstractWe investigate large sieve inequalities such as where is convex and increasing, P is a polynomial or an exponential of a potential, and the constant C depends on the degree of P, and the distribution of the points 0 1 < 2 < < m 2. The method allows greater generality and is in some ways simpler than earlier ones. We apply our results to estimate the Mahler measure of Fekete polynomials.

published proceedings

  • CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES

author list (cited authors)

  • Erdelyi, T., & Lubinsky, D. S.

citation count

  • 11

complete list of authors

  • Erdelyi, T||Lubinsky, DS

publication date

  • August 2007