An elementary proof of the Eichler–Selberg trace formula

AA Popa, D Zagier - Journal für die reine und angewandte …, 2020 - degruyter.com
We give a purely algebraic proof of the trace formula for Hecke operators on modular forms
for the full modular group SL 2⁢(ℤ), using the action of Hecke operators on the space of …

On the trace formula for Hecke operators on congruence subgroups, II

AA Popa - Research in the Mathematical Sciences, 2018 - Springer
In a previous paper, we obtained a general trace formula for double coset operators acting
on modular forms for congruence subgroups, expressed as a sum over conjugacy classes …

NON‐DIVISIBILITY OF CLASS NUMBERS AND PRIME VALUES OF POLYNOMIALS

PP Pandey - Mathematika, 2021 - Wiley Online Library
This article exhibits a connection between two well‐known problems of number theory: one
being the “infinitude of prime values of irreducible polynomials with integer coefficients” and …

[PDF][PDF] HABILITATION THESIS

GT Popa - umfiasi.ro
HABILITATION THESIS Page 1 GRIGORE T. POPA UNIVERSITY OF MEDICINE AND
PHARMACY IASI HABILITATION THESIS CLINICAL, BIOLOGICAL AND EXPERIMENTAL …