S. Lester

activity

20132026

most citedSmall scale equidistribution of eigenfunctions on the torus

19 citations · 55 across the 19 of their papers we have counts for

collaborators

Showing 2014 · math.NTShow all

3 papers · 2 filters

math.NT2014★ 9 cited

On the distribution of the divisor function and Hecke eigenvalues

Stephen Lester, Nadav Yesha

We investigate the behavior of the divisor function in both short intervals and in arithmetic progressions. The latter problem was recently studied by É. Fouvry, S. Ganguly, E. Kow…

math.NT2014

Discrepancy bounds for the distribution of the Riemann zeta-function and applications

Youness Lamzouri, Stephen Lester, Maksym Radziwill

We investigate the distribution of the Riemann zeta-function on the line $ℜ (s) = σ$ . For $\frac{1}{2} < σ \leq 1$ we obtain an upper bound on the discrepancy between the distribution o…

math.NT2014

$a$ -Points of the Riemann zeta-function on the critical line

S. J. Lester

We investigate the proportion of the nontrivial roots of the equation $ζ (s) = a$ , which lie on the line $ℜ s = 1/2$ for $a \in C$ not equal to zero. We show that at most one-…

On the distribution of the divisor function and Hecke eigenvalues

Discrepancy bounds for the distribution of the Riemann zeta-function and applications

a-Points of the Riemann zeta-function on the critical line

$a$ -Points of the Riemann zeta-function on the critical line