Emil-Alexandru Ciolan

activity

20142021

most citedCyclotomic numerical semigroups

6 citations · 6 across the 3 of their papers we have counts for

collaborators

4 papers

math.AC2021

Cyclotomic exponent sequences of numerical semigroups

Alexandru Ciolan, Pedro A. García-Sánchez, Andrés Herrera-Poyatos +1

We study the cyclotomic exponent sequence of a numerical semigroup $S,$ and we compute its values at the gaps of $S,$ the elements of $S$ with unique representations in terms of mi…

math.NT2015

Counting terms $U_{n}$ of third order linear recurrences with $U_{n} = u^{2} + n v^{2}$

Emil-Alexandru Ciolan, Florian Luca, Pieter Moree

Given a recurrent sequence $U := {U_{n}}_{n \geq 0}$ we consider the problem of counting $M_{U} (x)$ , the number of integers $n \leq x$ such that $U_{n} = u^{2} + n v^{2}$ for some in…

math.NT2015

Convergence properties of the classical and generalized Rogers-Ramanujan continued fraction

Emil-Alexandru Ciolan, Robert Axel Neiss

The aim of this paper is to study the convergence and divergence of the Rogers-Ramanujan and the generalized Rogers-Ramanujan continued fractions on the unit circle. We provide an…

math.NT2014★ 6 cited

Cyclotomic numerical semigroups

Emil-Alexandru Ciolan, Pedro A. García-Sánchez, Pieter Moree

Given a numerical semigroup $S$ , we let $P_{S} (x) = (1 - x) \sum_{s \in S} x^{s}$ be its semigroup polynomial. We study cyclotomic numerical semigroups; these are numerical semigroups…

Cyclotomic exponent sequences of numerical semigroups

Counting terms Un​ of third order linear recurrences with Un​=u2+nv2

Convergence properties of the classical and generalized Rogers-Ramanujan continued fraction

Cyclotomic numerical semigroups

Counting terms $U_{n}$ of third order linear recurrences with $U_{n} = u^{2} + n v^{2}$