UNSW Canberra

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19972026

most citedEntangled massive mechanical oscillators

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math.NT2018★ 8 cited

Explicit bounds on exceptional zeroes of Dirichlet $L$ -functions

Matteo Bordignon

The aim of this paper is to improve the upper bound for the exceptional zeroes $β_{0}$ of Dirichlet $L$ -functions. We do this by improving on explicit estimate for $L^{'} (σ, χ)$ for $σ$ …

math.NT2018★ 2 cited

Primitive values of quadratic polynomials in a finite field

Andrew R. Booker, Stephen D. Cohen, Nicole Sutherland +1

We prove that for all $q > 211$ , there always exists a primitive root $g$ in the finite field $F_{q}$ such that $Q (g)$ is also a primitive root, where $Q (x) = a x^{2} + b x + c$ …

Explicit bounds on exceptional zeroes of Dirichlet L-functions

Primitive values of quadratic polynomials in a finite field

Explicit bounds on exceptional zeroes of Dirichlet $L$ -functions