Dave Platt

activity

20122020

most citedAccurate estimation of sums over zeros of the Riemann zeta-function

20 citations · 52 across the 14 of their papers we have counts for

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Showing 2015Show all

2 papers · 1 filter

math.NT2015★ 2 cited

Zeroes of partial sums of the zeta-function

David J. Platt, Timothy S. Trudgian

This article considers the positive integers $N$ for which $ζ_{N} (s) = \sum_{n = 1}^{N} n^{- s}$ has zeroes in the half-plane $ℜ (s) > 1$ . Building on earlier results, we show that the…

math.NT2015

Diophantine quintuples containing triples of the first kind

Dave Platt, Tim Trudgian

We consider Diophantine quintuples ${a, b, c, d, e}$ , sets of distinct positive integers the product of any two elements of which is one less than a perfect square. Triples of th…