46 citations · 144 across the 14 of their papers we have counts for
15 papers
The least quadratic residue and integers represented by quadratic forms
Kannan Soundararajan, João C. C. Vargas
Let denote the least non-trivial reduced quadratic residue modulo ; that is, denotes the smallest square-free integer with and $r\equiv x^2 \…
Distribution of random multiplicative functions in short intervals, with proper normalization
Adam J. Harper, Kannan Soundararajan, Max Wenqiang Xu
We determine the limiting distribution of partial sums of a Steinhaus random multiplicative function over short intervals , where $y \rightar…
Ideals generated by power sums
Aldo Conca, Anurag K. Singh, Kannan Soundararajan
We consider ideals in a polynomial ring generated by collections of power sum polynomials, and obtain conditions under which these define complete intersection rings, normal domain…
Covering integers by
Ben Green, Kannan Soundararajan
What proportion of integers may be expressed as for some , with integers? Writing as $(\log N)^{\log 2} 2^{α\sqrt{\log \log N…
On short sums of trace functions
É. Fouvry, E. Kowalski, Ph. Michel +3
We consider sums of oscillating functions on intervals in cyclic groups of size close to the square root of the size of the group. We first prove non-trivial estimates for interval…
Small gaps between zeros of twisted L-functions
J. B. Conrey, H. Iwaniec, K. Soundararajan
We use the asymptotic large sieve, developed by the authors, to prove that if the Generalized Riemann Hypothesis is true, then there exist many Dirichlet L-functions that have a pa…