Dirk Zeindler

activity

20092026

most citedOn the number of cycles in a random permutation

18 citations · 88 across the 20 of their papers we have counts for

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2 papers · 1 filter

math.NT2026

On the exponential sum over squarefree integers

Nicolas Robles, Alexandru Zaharescu, Dirk Zeindler

Let $μ$ be the Möbius function and $e (t) = e^{2 π i t}$ . We prove that if $N \geq 2$ , $α \in R$ , $(a, q) = 1$ , and $∣ α - a / q ∣ \leq q^{- 2}$ , then \[\bigg|\sum_{n\le N}μ^2(n)e(αn)\bigg|\ll\l…

math.NT2026

Bilinear forms with Kloosterman fractions and applications

Anji Dong, Nicolas Robles, Dirk Zeindler

We establish improved bounds for bilinear forms with Kloosterman fractions of the form $\sum\sum_{m, n} α_{m} β_{n} e (a m / (bn))$ with $M < m \leq 2 M$ , $N < n \leq 2 N$ and $(m,n)=…