Video URL
The problem of representing a non-zero integer by indefinite integral quaternary quadratic forms: t…The problem of representing a non-zero integer by indefinite integral quaternary quadratic forms: the circle method and beyond
APA
(2024). The problem of representing a non-zero integer by indefinite integral quaternary quadratic forms: the circle method and beyond. SciVideos. https://youtube.com/live/kyx0TK249mA
MLA
The problem of representing a non-zero integer by indefinite integral quaternary quadratic forms: the circle method and beyond. SciVideos, Nov. 06, 2024, https://youtube.com/live/kyx0TK249mA
BibTex
@misc{ scivideos_ICTS:30193, doi = {}, url = {https://youtube.com/live/kyx0TK249mA}, author = {}, keywords = {}, language = {en}, title = {The problem of representing a non-zero integer by indefinite integral quaternary quadratic forms: the circle method and beyond}, publisher = {}, year = {2024}, month = {nov}, note = {ICTS:30193 see, \url{https://scivideos.org/icts-tifr/30193}} }
Abstract
I will discuss the problem of obtaining an asymptotic formula for counting integral solutions to an equation of the form f(x, y, z, w)=N in an expanding box, where N is a non-zero integer and f is an indefinite quadratic form over the integers. For forms of the shape axy-bzw, I will then explain how we can obtain a significantly strong error term by applying deep methods from the spectral theory of automorphic forms. This is a joint work with Rachita Guria.