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math.NT2025
New exponent pairs, zero density estimates, and zero additive energy estimates: a systematic approach
Terence Tao, Tim Trudgian, Andrew Yang
We obtain several new bounds on exponents of interest in analytic number theory, including four new exponent pairs, new zero density estimates for the Riemann zeta-function, and ne…
math.NT2024
Applications of Moments of Dirichlet Coefficients in Elliptic Curve Families
Zoë Batterman, Aditya Jambhale, Steven J. Miller +4
The moments of the coefficients of elliptic curve L-functions are related to numerous arithmetic problems. Rosen and Silverman proved a conjecture of Nagao relating the first momen…