S. Bettin

activity

20112025

most citedPeriod functions and cotangent sums

49 citations · 178 across the 28 of their papers we have counts for

collaborators

Showing 2014Show all

2 papers · 1 filter

math.NT2014

The mean square of the product of $ζ (s)$ with Dirichlet polynomials

Sandro Bettin, Vorrapan Chandee, Maksym Radziwill

Improving earlier work of Balasubramanian, Conrey and Heath-Brown, we obtain an asymptotic formula for the mean-square of the Riemann zeta-function times an arbitrary Dirichlet pol…

math.NT2014★ 31 cited

On the distribution of a cotangent sum

Sandro Bettin

Maier and Rassias computed the moments and proved a distribution result for the cotangent sum $c_{0} (a / q) := - \sum_{m < q} \frac{m}{q} cot (\frac{π ma}{q})$ on average over $1/2<A_0\leq a/q<A_…

The mean square of the product of ζ(s) with Dirichlet polynomials

On the distribution of a cotangent sum

The mean square of the product of $ζ (s)$ with Dirichlet polynomials