Tim Trudgian

activity

20222026

most citedNew exponent pairs, zero density estimates, and zero additive energy estimates: a systematic approach

1 citations · 1 across the 5 of their papers we have counts for

collaborators

Showing 2025Show all

4 papers · 1 filter

math.NT2025

Applying hypersurface bounds to a conjecture by Carlet

Zoë Gemmell, Tim Trudgian

A function from $F_{2^{n}}$ to $F_{2^{n}}$ is $k$ th order sum-free if the sum of its values over each $k$ -dimensional $F_{2}$ -affine subspace is nonzero. It is…

math.NT2025

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 $13$ cyclic cubic fields that are norm-Euclidean. Unconditionally, there is a gap between analytic estima…

math.NT2025

The error term of the fourth moment of the Riemann zeta-function

Neea Palojärvi, Benjamin Durkan, Tim Trudgian

We examine the size of $E_{2} (T)$ , the error term in the asymptotic formula for $\int_{0}^{T} ∣ ζ (1/2 + i t) ∣^{4} d t$ where $ζ (s)$ is the Riemann zeta-function. We reduce the power…

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…