3 citations · 4 across the 7 of their papers we have counts for
10 papers
On the Hurwitz-type zeta function associated to the Lucas sequence
Lejla Smajlović, Zenan Šabanac, Lamija Šćeta
We study the theta function and the Hurwitz-type zeta function associated to the Lucas sequence of the first kind determined by the real numbers un…
On an approach for evaluating certain trigonometric character sums using the discrete time heat kernel
Carlos A. Cadavid, Paulina Hoyos, Jay Jorgenson +2
In this article we develop a general method by which one can explicitly evaluate certain sums of -th powers of products of elementary trigonometric functions evaluated…
An integer factorization algorithm which uses diffusion as a computational engine
Carlos A. Cadavid, Paulina Hoyos, Jay Jorgenson +2
In this article we develop an algorithm which computes a divisor of an integer , which is assumed to be neither prime nor the power of a prime. The algorithm uses discrete time…
Construction of Poincaré-type series by generating kernels
Yasemin Kara, Moni Kumari, Jolanta Marzec +3
Let be a Fuchsian group of the first kind having a fundamental domain with a finite hyperbolic area, and let be its cover in $\…
Transformation laws for generalized Dedekind sums associated to Fuchsian groups
Claire Burrin, Jay Jorgenson, Cormac O'Sullivan +1
We establish transformation laws for generalized Dedekind sums associated to the Kronecker limit function of non-holomorphic Eisenstein series and their higher-order variants. Thes…
On the evaluation of singular invariants for canonical generators of certain genus one arithmetic groups
Jay Jorgenson, Lejla Smajlović, Holger Then
Let be a positive square-free integer such that the discrete group has genus one. In a previous article, we constructed canonical generators and …
Modular Dedekind symbols associated to Fuchsian groups and higher-order Eisenstein series
Jay Jorgenson, Cormac O'Sullivan, Lejla Smajlović
Let be the non-holomorphic Eisenstein series for the modular group . The classical Kronecker limit formula shows that the second term in the Laurent exp…
The Hauptmodul at elliptic points of certain arithmetic groups
Jay Jorgenson, Lejla Smajlović, Holger Then
Let be a square-free integer such that the arithmetic group has genus zero; there are such groups. Let denote the associated Hauptmodul normalized to have…
On relations equivalent to the generalized Riemann hypothesis for the Selberg class
Kamel Mazhouda, Lejla Smajlović
In this paper we prove that the Generalized Riemann Hypothesis (GRH) for functions in the class containing the Selberg class is equivalent to a certain…
On generalized Li criterion for a certain class of functions
Anne-Maria Ernvall-Hytönen, Almasa Odžak, Lejla Smajlović +1
We define generalized Li coefficients, called Li coefficients for a very broad class of functions that contains the Selberg class, t…