Distributions of hypergeometric functions over finite fields
Implementing Organization
Indian Institute of Technology (IIT)
Principal Investigator
Ms. Neelam Saikia
Assistant Professor
|
Indian Institute of Technology (IIT), Bhubaneswar
About
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.
Disclaimer:
Information available on this portal is sourced from various organizations and is provided for informational purposes only. Users are advised to verify details from the respective official sources.
Please enter your details
Please provide your name and email to continue. Your details are saved in this browser for future use.
Latest Updates
Loading…
⚠️
You are leaving this website
You are about to be redirected to an external website that is not operated by
India Science, Technology & Innovation (ISTI) Portal.
Indian Institute of Technology (IIT)
Assistant Professor
Acces sibility Controls