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 2021 · math.NTShow all

3 papers · 2 filters

math.NT2021

Optimal and typical $L^{2}$ discrepancy of 2-dimensional lattices

Bence Borda

We undertake a detailed study of the $L^{2}$ discrepancy of rational and irrational 2-dimensional lattices either with or without symmetrization. We give a full characterization of l…

math.NT2021★ 1 cited

A conjecture of Zagier and the value distribution of quantum modular forms

Christoph Aistleitner, Bence Borda

In his influential paper on quantum modular forms, Zagier developed a conjectural framework describing the behavior of certain quantum knot invariants under the action of the modul…

math.NT2021★ 7 cited

Maximizing Sudler products via Ostrowski expansions and cotangent sums

Christoph Aistleitner, Bence Borda

There is an extensive literature on the asymptotic order of Sudler's trigonometric product $P_{N} (α) = \prod_{n = 1}^{N} ∣2 sin (π n α) ∣$ for fixed or for "typical" values of $α$ . In th…

Optimal and typical L2 discrepancy of 2-dimensional lattices

A conjecture of Zagier and the value distribution of quantum modular forms

Maximizing Sudler products via Ostrowski expansions and cotangent sums

Optimal and typical $L^{2}$ discrepancy of 2-dimensional lattices