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

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3 papers · 1 filter

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…

math.DS2021★ 1 cited

On the distribution of Sudler products and Birkhoff sums for the irrational rotation

Bence Borda

We study the value distribution of the Sudler product $\prod_{n = 1}^{N} ∣2 sin (π n α) ∣$ and the Diophantine product $\prod_{n = 1}^{N} (2 e ∥ n α ∥)$ for various irrational $α$ , as $N$ ra…

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

On the distribution of Sudler products and Birkhoff sums for the irrational rotation

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