English

Simpler congruences for Jacobi sum $J(1, 1)_{49}$ of order 49

Number Theory 2025-10-17 v1

Abstract

In this paper we determine the congruence of Jacobi sums J(1,1)49J(1, 1)_{49} of order 49 over a field Fp\mathbb{F}_p. We also show that simpler congruences hold for J(1,1)49J(1, 1)_{49} in the case of artiad and hyperartiad primes.

Cite

@article{arxiv.2510.13924,
  title  = {Simpler congruences for Jacobi sum $J(1, 1)_{49}$ of order 49},
  author = {Ishrat Jahan Ansari and Vikas Jadhav and Devendra Shirolkar},
  journal= {arXiv preprint arXiv:2510.13924},
  year   = {2025}
}