21 citations · 56 across the 7 of their papers we have counts for
4 papers · 2 filters
Beyond Endoscopy via the trace formula - III: The standard representation
Salim Ali Altug
We finalize the analysis of the trace formula initiated in \cite{Altug:2015aa} and developed in \cite{Altug:2015ab}, and calculate the asymptotic expansion of the beyond endoscopic…
Elliptic curves, random matrices and orbital integrals
Jeff Achter, Julia Gordon, Salim Ali Altug
An isogeny class of elliptic curves over a finite field is determined by a quadratic Weil polynomial. Gekeler has given a product formula, in terms of congruence considerations inv…
Beyond Endoscopy via the Trace Formula-I: Poisson Summation and Contributions of Special Representations
Salim Ali Altug
With analytic applications in mind, in particular Beyond Endoscopy ([13]), we initiate the study of the elliptic part of the trace formula. Incorporating the approximate functional…
Beyond Endoscopy via the trace formula - II: Asymptotic expansions of Fourier transforms and bounds towards the Ramanujan conjecture
Salim Ali Altug
We continue the analysis of the elliptic part of the trace formula initiated in \cite{Altug:2015aa}. In that reference Poisson summation was applied to the elliptic part and the do…