1 citations · 1 across the 5 of their papers we have counts for
6 papers
Low Lying Zeros of Dedekind Zeta Functions
Timothy S. Trudgian, Sebastian Zuniga-Alterman
Let be a number field of degree , and let denote the smallest absolute value of the imaginary part of a non-trivial zero of its Dedekind zeta function. In 1979, Hof…
Applying hypersurface bounds to a conjecture by Carlet
Zoë Gemmell, Tim Trudgian
A function from to is th order sum-free if the sum of its values over each -dimensional -affine subspace is nonzero. It is…
The determination of norm-Euclidean cyclic cubic fields
Gustav Kjærbye Bagger, Andrew R. Booker, Bryce Kerr +3
It is known on the Generalised Riemann Hypothesis that there are precisely cyclic cubic fields that are norm-Euclidean. Unconditionally, there is a gap between analytic estima…
The error term of the fourth moment of the Riemann zeta-function
Neea Palojärvi, Benjamin Durkan, Tim Trudgian
We examine the size of , the error term in the asymptotic formula for where is the Riemann zeta-function. We reduce the power…
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…
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}…