Andrew Granville

most citedExtreme values of

∣ ζ (1 + i t) ∣

13 citations · 13 across the 3 of their papers we have counts for

collaborators

4 papers

math.NT2005

Negative values of truncations to $L (1, χ)$

Andrew Granville, K. Soundararajan

For a given $x$ we consider the minimum of $\sum_{n \leq x} χ (n) / n$ as $χ$ ranges over all quadratic Dirichlet characters. For all large $x$ , this minimum is negative and we give upp…

math.NT2005

Large character sums: Pretentious characters and the Polya-Vinogradov Theorem

Andrew Granville, K. Soundararajan

In 1918 Polya and Vinogradov gave an upper bound for the maximal size of character sums which still remains the best known general estimate. One of the main results of this paper p…

math.NT2005★ 13 cited

Extreme values of $∣ ζ (1 + i t) ∣$

Andrew Granville, K. Soundararajan

Improving a result of N. Levinson, we exhibit large and small values of $∣ ζ (1 + i t) ∣$ .

math.NT2004

Poisson statistics via the Chinese remainder theorem

A. Granville, P. Kurlberg

We consider the distribution of spacings between consecutive elements in subsets of Z/qZ where q is highly composite and the subsets are defined via the Chinese remainder theorem.…

Negative values of truncations to L(1,χ)

Large character sums: Pretentious characters and the Polya-Vinogradov Theorem

Extreme values of ∣ζ(1+it)∣

Poisson statistics via the Chinese remainder theorem

Negative values of truncations to $L (1, χ)$

Extreme values of $∣ ζ (1 + i t) ∣$