Florin Nicolae

activity

20142019

most citedOn the restricted partition function

9 citations · 16 across the 7 of their papers we have counts for

collaborators

10 papers

math.NT2019★ 1 cited

Artin L-functions to almost monomial Galois groups

Mircea Cimpoeas, Florin Nicolae

If $K / Q$ is a finite Galois extension with an almost monomial Galois group and if $s_{0} \in C ∖ {1}$ is not a common zero for any two Artin L-functions associa…

math.NT2018★ 3 cited

Independence of Artin L-functions

Mircea Cimpoeas, Florin Nicolae

Let $K / Q$ be a finite Galois extension. Let $χ_{1}, \dots, χ_{r}$ be $r \geq 1$ distinct characters of the Galois group with the associated Artin L-functions $L(s,χ_1),\ldots, L(…

math.NT2018

Imaginary quadratic number fields with class groups of small exponent

Andreas-Stephan Elsenhans, Jürgen Klüners, Florin Nicolae

Let $D < 0$ be a fundamental discriminant and denote by $E (D)$ the exponent of the ideal class group $Cl (D)$ of $K = Q (D)$ . Under the assumption that no Siegel…

math.NT2017

Additive bases with coefficients of newforms

Victor Cuauhtemoc Garcia, Florin Nicolae

Let $f (z) = \sum_{n = 1}^{\infty} a (n) e^{2 π in z}$ be a normalized Hecke eigenform in $S_{2 k}^{new} (Γ_{0} (N))$ with integer Fourier coefficients. We prove that there exists a const…

math.CO2016

On the restricted partition function II

Mircea Cimpoeas, Florin Nicolae

Let $a = (a_{1}, \dots, a_{r})$ be a vector of positive integers. In continuation of a previous paper we present other formulas for the restricted partition function $p_{\mathbf a…

math.NT2016

On holomorphic Artin L-functions

Florin Nicolae

Let $K / Q$ be a finite Galois extension, $s_{0} \in C ∖ {1}$ , $Hol (s_{0})$ the semigroup of Artin L-functions holomorphic at $s_{0}$ . If the Galois group is…

math.CO2016★ 9 cited

On the restricted partition function

Mircea Cimpoeas, Florin Nicolae

For a vector $a = (a_{1}, \dots, a_{r})$ of positive integers we prove formulas for the restricted partition function $p_{a} (n) :=$ the number of integer solutions $(x_1,…

math.NT2015

Are number fields determined by Artin L-Functions ?

Juergen Klueners, Florin Nicolae

Let $k$ be a number field, $K / k$ a finite Galois extension with Galois group $G$ , $χ$ a faithful character of $G$ . We prove that the Artin L-function $L (s, χ, K / k)$ determines the Ga…

math.NT2015★ 2 cited

On the Semigroup of Artin's L-functions holomorphic at $s_{0}$ . II

Florin Nicolae

Let $K / Q$ be a finite Galois extension, and let $s_{0} \neq = 1$ be a complex number. We present two new criteria for the Artin L-functions to be holomorphic at $s_{0}$ .

math.NT2014★ 1 cited

Ergodic Properties Of $θ$ -Expansions And A Gauss-Kuzmin-Type Problem

Dan Lascu, Florin Nicolae

A generalization of the regular continued fractions was given by Chakraborty and Rao \cite{CR-2003}. For the transformation which generates this expansion and its invariant measure…

Artin L-functions to almost monomial Galois groups

Independence of Artin L-functions

Imaginary quadratic number fields with class groups of small exponent

Additive bases with coefficients of newforms

On the restricted partition function II

On holomorphic Artin L-functions

On the restricted partition function

Are number fields determined by Artin L-Functions ?

On the Semigroup of Artin's L-functions holomorphic at s0​. II

Ergodic Properties Of θ-Expansions And A Gauss-Kuzmin-Type Problem

On the Semigroup of Artin's L-functions holomorphic at $s_{0}$ . II

Ergodic Properties Of $θ$ -Expansions And A Gauss-Kuzmin-Type Problem