K. Aggarwal

activity

20242026

collaborators

3 papers

math.NT2026

Explicit bounds for the graphicality of the prime gap sequence

Keshav Aggarwal, Robin Frot, Haozhe Gou +1

We establish explicit unconditional results on the graphic properties of the prime gap sequence. Let $p_{n}$ denote the $n$ -th prime number (with $p_{0} = 1$ ) and $\mathrm{PD}_n = (p_\el…

math.NT2025

Short second moment bound and Subconvexity for GL(3) $L$ -functions

Keshav Aggarwal, Wing Hong Leung, Ritabrata Munshi

Let $I ¨ $ be a Hecke cusp form for $SL_{3} (Z)$ . We bound the second moment average of $L (s, I ¨ )$ over a short interval to obtain the subconvexity estimate $$ L(1/2+it…

math.NT2024

Level aspect subconvexity for $GL(2) \times GL(2)$ $L$ -functions

Keshav Aggarwal, Sumit Kumar, Chung-Hang Kwan +3

Let $f$ be a newform of prime level $p$ with any central character $I ¨ (mod p)$ , and let $g$ be a fixed cusp form or Eisenstein series for $SL_{2} (Z)$ . We pro…

Explicit bounds for the graphicality of the prime gap sequence

Short second moment bound and Subconvexity for GL(3) L-functions

Level aspect subconvexity for GL(2)×GL(2) L-functions

Short second moment bound and Subconvexity for GL(3) $L$ -functions

Level aspect subconvexity for $GL(2) \times GL(2)$ $L$ -functions