Andrew Granville's
preprints



Accepted for publication
with Mark Watkins, Stephen Donnelly, Noam Elkies, Tom Fisher and Nick Rogers
  • Article
  • On ranks of quadratic twists of elliptic curve
    Publications mathematiques de Besancon
  • Article
  • What is the best approach to counting primes?
    Mathematical Association of America's Centennial celebration volume
    with Dimitris Koukoulopoulos and Kaisa Matomaki
  • Article
  • When the sieve works
    Duke Mathematical Journal
    with Jennifer Granville and Michael Spencer
  • Article
  • Writing and performing mathematics as metaphor
    Art in the Life of Mathematicians, American Mathematical Society
    with Daniel Kane, Dimitris Koukoulopoulos and Robert Lemke Oliver
  • Article
  • Best possible densities of Dickson m-tuples, as a consequence of Zhang-Maynard-Tao
    Analytic Number Theory, in honor of Helmut Maier's 60th Birthday, Springer (eds. C. Pomerance and M. Rassias)
    with Antal Balog and Jozsef Solymosi
  • Article
  • Gaps between fractional parts, and additive combinatorics
    Quarterly Journal of Mathematics, Oxford


    Submitted

    with Jonathan Bober, Leo Goldmakher and Dimitris Koukoulopoulos
  • Article
  • The frequency and the structure of large character sums
    with David Dummit and Hershy Kisilevsky
  • Article
  • Big biases amongst products of two primes
    with K. Soundararajan
  • Article
  • Large Character Sums: Burgess's theorem and zeros of L-functions


    Developing

  • Article
  • Anatomy of integers and permutations