Nicolas Robles

activity

20242026

collaborators

4 papers

math.NT2026

Heath-Brown identities for fractional powers of $ζ$

Nicolas Robles

We construct finite Heath-Brown-type identities for the fractional powers $ζ (s)^{\pm a / b}$ of the Riemann zeta-function, for every reduced fraction $a / b$ with $0 < a / b < 1$ , from N…

math.NT2026

An Analogue of the Dedekind Eta Function for Hecke Groups $H (D)$

Debmalya Basak, Dorian Goldfeld, Winston Heap +2

Let $D \equiv 1 mod 4$ be a fundamental discriminant of a real quadratic field. We construct an analogue of the classical Dedekind eta function for the Hecke group $H (D)$ .…

math.NT2025

Strange and pseudo-differentiable functions with applications to prime partitions

Anji Dong, Nicolas Robles, Alexandru Zaharescu +1

Let $p_{P_{r}} (n)$ denote the number of partitions of $n$ into $r$ -full primes. We use the Hardy-Littlewood circle method to find the asymptotic of $\mathfrak{p}_…

math.NT2024

Exponential sums twisted by general arithmetic functions

Anji Dong, Nicolas Robles, Alexandru Zaharescu +1

We examine exponential sums of the form $\sum_{n \leq X} w (n) e^{2 I ¨ i I^\pm n^{k}}$ , for $k = 1, 2$ , where $I^\pm$ satisfies a generalized Diophantine approximation and where $w$ are different a…

Heath-Brown identities for fractional powers of ζ

An Analogue of the Dedekind Eta Function for Hecke Groups H(D​)

Strange and pseudo-differentiable functions with applications to prime partitions

Exponential sums twisted by general arithmetic functions

Heath-Brown identities for fractional powers of $ζ$

An Analogue of the Dedekind Eta Function for Hecke Groups $H (D)$