Lejla Smajlović

activity

20142024

collaborators

7 papers

math.NT2024

Relations between Chebyshev, Fibonacci and Lucas polynomials via trigonometric sums

Lejla Smajlović, Zenan Šabanac, Lamija Šćeta

In this paper we derive some new identities involving the Fibonacci and Lucas polynomials and the Chebyshev polynomials of the first and the second kind. Our starting point is a fi…

math.NT2024

On the functional equation of twisted Ruelle zeta function and Fried's conjecture

Jay Jorgenson, Min Lee, Lejla Smajlovic

Let $M$ be a finite volume hyperbolic Riemann surface with arbitrary signature, and let $χ$ be an arbitrary $m$ -dimensional multiplier system of weight $k$ . Let $R (s, χ)$ be the ass…

math.AP2023

The parametrix construction of the heat kernel on a graph

Gautam Chinta, Jay Jorgenson, Anders Karlsson +1

In this paper we develop the parametrix approach for constructing the heat kernel on a graph $G$ . In particular, we highlight two specific cases. First, we consider the case when $…

math.CO2023

The resolvent kernel on the discrete circle and twisted cosecant sums

Jay Jorgenson, Anders Karlsson, Lejla Smajlović

Let $X_{m}$ denote the discrete circle with $m$ vertices. For $x, y \in X_{m}$ and complex $s$ , let $G_{X_{m}, χ_{β}} (x, y; s)$ be the resolvent kernel associated to the combinatorial Laplaci…

math.NT2016

Modular Dedekind symbols associated to Fuchsian groups and higher-order Eisenstein series

Jay Jorgenson, Cormac O'Sullivan, Lejla Smajlović

Let $E (z, s)$ be the non-holomorphic Eisenstein series for the modular group $S L (2, Z)$ . The classical Kronecker limit formula shows that the second term in the Laurent exp…

math.NT2016

An evaluation of the central value of the automorphic scattering determinant

Joshua S. Friedman, Jay Jorgenson, Lejla Smajlovic

Let $M$ be a finite volume, non-compact hyperbolic Riemann surface, possibly with elliptic fixed points, and let $ϕ (s)$ denote the automorphic scattering determinant. From the know…