3 citations · 3 across the 6 of their papers we have counts for
8 papers
The distribution of -free ideals in ray class groups
Adrian Barquero-Sanchez, Jack Heimrath, Bernd Sing +3
In this paper, we extend the classical problem of studying the distribution of -free integers in arithmetic progressions to the setting of arbitrary number fields. Using the lan…
Counting elliptic curves over with bounded naive height
Adrian Barquero-Sanchez, Daniel Mora-Mora
In this paper, we give exact and asymptotic formulas for counting elliptic curves with , ordered by naive height. We st…
On the efficient computation of Fourier coefficients of eta-quotients
Adrian Barquero-Sanchez, Juan Pablo De Rasis, Nicolás Sirolli +1
The Fourier coefficients of a negative weight eta-quotient, in many particular cases, and after Sussman in general, are known to be expressible by Hardy-Ramanujan-Rademacher type s…
The density and distribution of CM elliptic curves over
Adrian Barquero-Sanchez, Jimmy Calvo-Monge
In this paper we study the density and distribution of CM elliptic curves over . In particular, we prove that the natural density of CM elliptic curves over $\mathbb{Q}…
On the embedding of Galois groups into wreath products
Adrian Barquero-Sanchez, Jimmy Calvo-Monge
In this paper we make explicit an application of the wreath product construction to the Galois groups of field extensions. More precisely, given a tower of fields $F \subseteq K \s…
Efficient computation of the overpartition function and applications
Adrian Barquero-Sanchez, Gabriel Collado-Valverde, Nathan C. Ryan +3
In this paper we develop a method to calculate the overpartition function efficiently using a Hardy-Rademacher-Ramanujan type formula, and we use this method to find many new Raman…
Theta series and number fields: theorems and experiments
Adrian Barquero-Sanchez, Guillermo Mantilla-Soler, Nathan C. Ryan
We construct certain -series associated to number fields and prove that for number fields of degree less than equal to 4, these -series are number field invariants. We also i…
On the Colmez conjecture for non-abelian CM fields
Adrian Barquero-Sanchez, Riad Masri
The Colmez conjecture relates the Faltings height of an abelian variety with complex multiplication by the ring of integers of a CM field to logarithmic derivatives of certain…