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 2018Show all

4 papers · 1 filter

math.NT2018

A note on the dimension of the largest simple Hecke submodule

Sandro Bettin, Corentin Perret-Gentil, Maksym Radziwiłł

For $k \geq 2$ even, let $d_{k, N}$ denote the dimension of the largest simple Hecke submodule of $S_{k} (Γ_{0} (N); Q)^{new}$ . We show, using a simple analytic method, that…

math.NT2018

Small values of signed harmonic sums

Sandro Bettin, Giuseppe Molteni, Carlo Sanna

For every $τ \in R$ and every integer $N$ , let $m_{N} (τ)$ be the minimum of the distance of $τ$ from the sums $\sum_{n = 1}^{N} s_{n} / n$ , where $s_1, \ldots, s_n \in \{-1…

math.NT2018★ 1 cited

The power-saving Manin-Peyre's conjectures for a senary cubic

Sandro Bettin, Kevin Destagnol

Using recent work of the first author~\cite{Bet}, we prove a strong version of the Manin-Peyre's conjectures with a full asymptotic and a power-saving error term for the two variet…

math.NT2018★ 1 cited

Greedy approximations by signed harmonic sums and the Thue--Morse sequence

Sandro Bettin, Giuseppe Molteni, Carlo Sanna

Given a real number $τ$ , we study the approximation of $τ$ by signed harmonic sums $σ_{N} (τ) := \sum_{n \leq N} s_{n} (τ) / n$ , where the sequence of signs $(s_{N} (τ))_{N \in N}$ i…