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math.NT2025★ 1 cited
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.NT2022
Primitive element pairs with a prescribed trace in the cubic extension of a finite field
Andrew R. Booker, Stephen D. Cohen, Nicol Leong +1
We prove that for any prime power , the cubic extension of the finite field contains a primitive element such that $ξ+ξ^{-1}…