Kannan Soundararajan

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20002026

most citedMass equidistribution for Hecke eigenforms

9 citations · 21 across the 7 of their papers we have counts for

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math.NT2026

The least quadratic residue and integers represented by quadratic forms

Kannan Soundararajan, João C. C. Vargas

Let $ℓ (n)$ denote the least non-trivial reduced quadratic residue modulo $n$ ; that is, $ℓ (n)$ denotes the smallest square-free integer $r > 1$ with $(r, n) = 1$ and $r\equiv x^2 \…

math.NT2026

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 $\sum_{x \leq n \leq x + y} f (n)$ over short intervals $[x, x + y]$ , where $y \rightar…