20 citations · 104 across the 42 of their papers we have counts for
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Resolving Grosswald's conjecture on GRH
Kevin McGown, Enrique Treviño, Tim Trudgian
In this paper we examine Grosswald's conjecture on , the least primitive root modulo . Assuming the Generalized Riemann Hypothesis (GRH), and building on previous work by…
Searching for Diophantine quintuples
Mihai Cipu, Tim Trudgian
We consider Diophantine quintuples . These are sets of distinct positive integers, the product of any two elements of which is one less than a perfect square. It…
Zeroes of partial sums of the zeta-function
David J. Platt, Timothy S. Trudgian
This article considers the positive integers for which has zeroes in the half-plane . Building on earlier results, we show that the…
On Grosswald's conjecture on primitive roots
Stephen D. Cohen, Tomás Oliveira e Silva, Tim Trudgian
Grosswald's conjecture is that , the least primitive root modulo , satisfies for all . We make progress towards this conjecture by proving…
Diophantine quintuples containing triples of the first kind
Dave Platt, Tim Trudgian
We consider Diophantine quintuples , sets of distinct positive integers the product of any two elements of which is one less than a perfect square. Triples of th…
Bounds on the number of Diophantine quintuples
Tim Trudgian
We consider Diophantine quintuples . These are sets of distinct positive integers, the product of any two elements of which is one less than a perfect square. It…