B. Borda

activity

20162026

most citedMaximizing Sudler products via Ostrowski expansions and cotangent sums

7 citations · 28 across the 22 of their papers we have counts for

collaborators

Showing 2023 · math.NTShow all

3 papers · 2 filters

math.NT2023

Limit laws for cotangent and Diophantine sums

Bence Borda, Lorenz Frühwirth, Manuel Hauke

Limit laws for ergodic averages with a power singularity over circle rotations were first proved by Sinai and Ulcigrai, as well as Dolgopyat and Fayad. In this paper, we prove limi…

math.NT2023★ 1 cited

Remarks on sums of reciprocals of fractional parts

Bence Borda

The Diophantine sums $\sum_{n = 1}^{N} ∥ n α ∥^{- 1}$ and $\sum_{n = 1}^{N} n^{- 1} ∥ n α ∥^{- 1}$ appear in many different areas including the ergodic theory of circle rotations, lattice p…

math.NT2023

Pointwise and correlation bounds on Dedekind sums over small subgroups

Bence Borda, Marc Munsch, Igor Shparlinski

We obtain new bounds, pointwisely and on average, for Dedekind sums $s (λ, p)$ modulo a prime $p$ with $λ$ of small multiplicative order $d$ modulo $p$ . Assuming the infinit…