Alexandru Zaharescu

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20242026

most citedRepresentations as Sums of Icosahedral and Dodecahedral Numbers: Proof of Pollock's Conjectures

1 citations · 1 across the 18 of their papers we have counts for

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math.NT2025

Zeros of Polynomials in Derivatives of Automorphic $L$ -functions

Anji Dong, Nawapan Wattanawanichkul, Alexandru Zaharescu

Let $F_{m}$ be the set of all cuspidal automorphic representations of $GL_{m} (A_{Q})$ , and let $F (s, π)$ be a polynomial in the derivati…

math.NT2025

Cannonball Polygons with Multiplicities

Anji Dong, Katerina Saettone, Kendra Song +1

We generalize the Cannonball Problem by introducing integer-valued and non-increasing arithmetic functions $w$ . We associate these functions $w$ with certain polygons, which we cal…

math.NT2025

An Equidistribution Result for Differences Associated to Square Pyramidal Numbers II

Anji Dong, Katerina Saettone, Kendra Song +1

This paper presents some new results concerned with uniform distribution properties associated with the sequence $(a_{n})_{n \in N}$ , which is defined as the distance from the…

math.NT2025

An Arithmetic Sum Associated with the Classical Theta Function

Bruce C. Berndt, Raghavendra N. Bhat, Jeffrey L. Meyer +2

The sum $S (h, k) := \sum_{j = 1}^{k - 1} (- 1)^{j + 1 + [hj / k]}$ appears in the modular transformation formulae of the classical theta function $ϑ_{3} (z)$ . The double sum $S(k) := \sum_{h…

Zeros of Polynomials in Derivatives of Automorphic L-functions

Cannonball Polygons with Multiplicities

An Equidistribution Result for Differences Associated to Square Pyramidal Numbers II

An Arithmetic Sum Associated with the Classical Theta Function

Zeros of Polynomials in Derivatives of Automorphic $L$ -functions