Venue
Online
Speaker
Dr. Anup Kumar Singh
Affiliation
NISER
Title
On the representations of squares by certain diagonal quadratic forms in an odd number of variables
Abstract: In this talk, we shall discuss a problem of finding
formulas for the number of representations of squares by certain
positive definite integral binary quadratic forms. More precisely, by
a class of quadratic forms in an odd number of variables. There are
several techniques to deal with this interesting problem but we shall
adopt the theory of modular forms (more specifically, Shimura
correspondence between space of modular forms of integer weight and half integer weight) to get the related formulas.