T. Trudgian

activity

20082023

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

20 citations · 104 across the 42 of their papers we have counts for

collaborators

Showing 2010Show all

2 papers · 1 filter

math.NT2010★ 1 cited

A modest improvement on the function $S (T)$

Timothy Trudgian

This paper contains a small improvement to the explicit bounds on the growth of the function $S (T)$ . It is shown how more substantial improvements are possible if one has better ex…

math.NT2010

Between the conjectures of Pólya and Turán

T. S. Trudgian

This paper is concerned with the constancy in the sign of $L (X, α) = \sum_{1}^{X} \frac{λ ( n )}{n ^{α}}$ , where $λ (n)$ the Liouville function. The non-positivity of $L (X, 0)$ is the Pól…

A modest improvement on the function S(T)

Between the conjectures of Pólya and Turán

A modest improvement on the function $S (T)$