Anshul Adve

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math.NT2025

Weyl bound for trilinear periods via conformal bootstrap

Anshul Adve, James Bonifacio, Petr Kravchuk +4

Let $f_{1}, f_{2}$ be holomorphic modular forms of the same weight for a cocompact lattice $I^ < PSL_{2} (R)$ . We estimate the rate of decay of the coefficients in the exp…

math.NT2025

A Spectral Gap for Spinors on Hyperbolic Surfaces

Anshul Adve, Vikram Giri

The purpose of this note is to construct a sequence of spin hyperbolic surfaces $I^£_{n}$ with genus going to infinity and with a uniform spectral gap for the Dirac operator. Our cons…