11 citations · 12 across the 6 of their papers we have counts for
7 papers
Real part of cycle integrals and conjectures of Kaneko
Paloma Bengoechea, Sebastián Herrero, Özlem Imamoglu
We prove two of Kaneko's conjectures on the "values" of the modular function at real quadratic irrationalities: we prove the lower bound $\mathrm{Re}(\mathrm{…
Twisted traces of modular functions on hyperbolic -space
Sebastián Herrero, Özlem Imamoglu, Anna-Maria von Pippich +1
We compute analogues of twisted traces of CM values of harmonic modular functions on hyperbolic -space and show that they are essentially given by Fourier coefficients of the $j…
Special values of Green's functions on hyperbolic -space
Sebastián Herrero, Özlem Imamoglu, Anna-Maria von Pippich +1
Gross, Kohnen and Zagier proved an averaged version of the algebraicity conjecture for special values of higher Green's functions on modular curves. In this work, we study an analo…
A Jensen-Rohrlich type formula for the hyperbolic 3-space
Sebastián Herrero, Özlem Imamoglu, Anna-Maria von Pippich +1
In this article we give a Jensen-Rohrlich type formula for a certain class of automorphic functions on the hyperbolic 3-space for the group .
Cycle integrals of modular functions, Markov geodesics and a conjecture of Kaneko
Paloma Bengoechea, Ozlem Imamoglu
In this paper we study the values of modular functions at the Markov quadratics which are defined in terms of their cycle integrals along the associated closed geodesics. These num…
Palindromic random trigonometric polynomials
J. Brian Conrey, David W. Farmer, Özlem Imamoglu
We show that if a real trigonometric polynomial has few real roots, then the trigonometric polynomial obtained by writing the coefficients in reverse order must have many real root…