S. Bettin

activity

20112025

most citedPeriod functions and cotangent sums

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

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Showing 2022Show all

2 papers · 1 filter

math.NT2022★ 1 cited

On quantum modular forms of non-zero weights

Sandro Bettin, Sary Drappeau

We study functions $f$ on $Q$ which statisfy a ``quantum modularity'' relation of the shape $f (x + 1) = f (x), f (x) - ∣ x ∣^{- k} f (- 1/ x) = h (x)$ where $h:\mathbb R_{\ne…

math.NT2022

A weighted one-level density of the non-trivial zeros of the Riemann zeta-function

Sandro Bettin, Alessandro Fazzari

We compute the one-level density of the non-trivial zeros of the Riemann zeta-function weighted by $∣ ζ (\frac{1}{2} + i t) ∣^{2 k}$ for $k = 1$ and, for test functions with Fourier support in…