Distributions of hypergeometric functions over finite fields
Implementing Organization
Indian Institute of Technology (IIT)
Principal Investigator
Ms. Neelam Saikia
Assistant Professor
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School of Basic Sciences, Indian Institute of Technology (IIT), Bhubaneswar, Odisha
Project Overview
Arithmetic statistics is an active area of number theory, focusing on distributional results for fundamental objects. The Sato-Tate conjecture, formulated by mathematicians Sato and Tate in the 1960s, is celebrated for its semicircular distribution. This project aims to investigate distributional results for hypergeometric functions over large finite fields, focusing on new distributions for certain families of Greene's hypergeometric functions. Methods include harmonic mass forms, modular forms, class numbers, and elliptic curves.
Indian Institute of Technology (IIT)
Assistant Professor
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