14 citations · 34 across the 8 of their papers we have counts for
9 papers
Negative values of truncations to
Andrew Granville, K. Soundararajan
For a given we consider the minimum of as ranges over all quadratic Dirichlet characters. For all large , this minimum is negative and we give upp…
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…
Approximating 1 from below using Egyptian fractions
K. Soundararajan
We find the closest approximation to 1 from below using a sum of Egyptian fractions.
Extreme values of
Andrew Granville, K. Soundararajan
Improving a result of N. Levinson, we exhibit large and small values of .
On the distribution of imaginary parts of zeros of the Riemann zeta function
Kevin Ford, Alexandru Zaharescu
We investigate the distribution of the fractional parts of ag, where a is a fixed non-zero real number and g runs over the imaginary parts of the non-trivial zeros of the Riemann z…
Degree 1 elements of the Selberg class
Kannan Soundararajan
We provide a short and simple proof of a beautiful result of Kaczorowski and Perelli classifying the elements of degree one in the Selberg class.