Online Archive of University of Virginia Scholarship
On Higher Turan inequalities for the Plane Partitions, Ellipsoidal T-Designs, and j-inversion769 views
Author
Pandey, Badri Vishal, Mathematics - Graduate School of Arts and Sciences, University of Virginia0000-0002-8226-3028
Advisors
Ono, Ken, University of Virginia
Abstract
This thesis is about combinatorics and number theory. More precisely, this is based on the 3 papers I wrote during my time as a PhD student. The content of our thesis is on Higer Turan inequalities for plane partitions, introduction of a generalization of spherical t-designs, which we call ellipsoidal t-design, and providing inversion formulae for j-function around elliptic points, out of which the later work is a joint work with, my fellow PhD student at University of Virginia, Alejandro De Las Penas Castano.
Degree
PHD (Doctor of Philosophy)
Keywords
Number theory; Higher Turan inequalities; j-inversion; Plane partition; Combinatorics; Theory of partitions; Taylor expansion; Asymptotic analysis; Modular forms
Pandey, Badri Vishal. On Higher Turan inequalities for the Plane Partitions, Ellipsoidal T-Designs, and j-inversion. University of Virginia, Mathematics - Graduate School of Arts and Sciences, PHD (Doctor of Philosophy), 2022-11-30, https://doi.org/10.18130/0q6r-n797.
