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.DSShow all

2 papers · 2 filters

math.DS2023★ 1 cited

Limit laws of maximal Birkhoff sums for circle rotations via quantum modular forms

Bence Borda

In this paper, we show how quantum modular forms naturally arise in the ergodic theory of circle rotations. Working with the classical Birkhoff sum $S_N(α)=\sum_{n=1}^N (\{ n α\}-1…

math.DS2023★ 3 cited

Equidistribution of continued fraction convergents in $SL (2, Z_{m})$ with an application to local discrepancy

Bence Borda

Consider the sequence of continued fraction convergents $p_{n} / q_{n}$ to a random irrational number. We study the distribution of the sequences $p_{n} (mod m)$ and $q_{n} (mod m)$ with a…

Limit laws of maximal Birkhoff sums for circle rotations via quantum modular forms

Equidistribution of continued fraction convergents in SL(2,Zm​) with an application to local discrepancy

Equidistribution of continued fraction convergents in $SL (2, Z_{m})$ with an application to local discrepancy