-Gaussian hypergeometric series and traces of Frobenius for elliptic curves

M Tripathi, J Meher - Research in the Mathematical Sciences, 2022 - Springer
In this article, we obtain finite field analogues of classical summation identities connecting F
3-Appell series and 4 F 3-classical hypergeometric series. As an application, we establish a …

Appell series over finite fields and Gaussian hypergeometric series

M Tripathi, R Barman - Research in the Mathematical Sciences, 2021 - Springer
In this article, we find finite field analogues of certain identities satisfied by the classical 4 F 3-
hypergeometric series and Appell series. As an application, we find new summation and …

Certain product formulas and values of Gaussian hypergeometric series

M Tripathi, R Barman - Research in Number Theory, 2020 - Springer
In this article we find finite field analogues of certain product formulas satisfied by the
classical hypergeometric series. We express product of two _2 F_1 2 F 1-Gaussian …

Certain transformations and special values of hypergeometric functions over finite fields

R Barman, M Tripathi - The Ramanujan Journal, 2022 - Springer
In this article we find finite field analogues of certain transformations satisfied by the classical
hypergeometric series. Using properties of Gauss and Jacobi sums we evaluate certain …

A fast algorithm for solving a kind of gauss hypergeometric functions in wireless communication based on pfaff transformation

J Cai, M Chen, S Zhang, C Hong… - … on Networking and …, 2019 - ieeexplore.ieee.org
In order to welcome the arrival of 5G era, many researchers devote themselves to the
research work in the field of wireless communication. In this context, basic mathematical …

[图书][B] THE ELLIPTIC CURVES VEDIC MATHEMATICS & CRYPTOGRAPHY

A Nehra, P Gupta, M Kumar, DK Yadav, D Chaudhary - books.google.com
Cryptography and Vedic Mathematics are one of the fundamental branches of Mathematics
and this book aims to serve as a reference book for the researchers. It can also be read with …

Moments of Gaussian hypergeometric functions over finite fields

A Pal, B Roy, M Sadek - Functiones et Approximatio Commentarii …, 2023 - projecteuclid.org
We prove explicit formulas for certain first and second moment sums of families of Gaussian
hypergeometric functions $ _ {n+ 1} F_n $, $ n\ge 1$, over finite fields with $ q $ elements …

[PDF][PDF] PERFORMANCE ANALYSIS OF HUFF AND TWISTED HUFF ELLIPTIC CURVES USING URDHVA TIRYAGBHYAM AND DVANDVA YOGA TECHNIQUES OF …

M KUMAR, A KUMAR - research-publication.com
This paper is on some efficient algorithms implementation of points addition and points
doubling for the Huff elliptic curves using techniques of ancient mathematics. In particular …