R. Fregoli

activity

20182026

most citedSums of Reciprocals of Fractional Parts II

2 citations · 2 across the 13 of their papers we have counts for

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math.NT2019

A note on bounded exponential sums

Reynold Fregoli

Let $A \subset N$ , $α \in (0, 1)$ , and for $x \in R$ let $e (x) := e^{2 π i x}$ . We set $$S_{A}(α,N):=\sum_{\substack{n\in A\n\leq N}}e(nα).$$ Recently, Lambert A'Campo propos…

math.NT2019

On a counting theorem for weakly admissible lattices

Reynold Fregoli

We give a precise estimate for the number of lattice points in certain bounded subsets of $R^{n}$ that involve `hyperbolic spikes' and occur naturally in multiplicative Di…