Simpler congruences for Jacobi sum J(1, 1)₄₉ of order 49

2025/10/15 by Ansari, Ishrat Jahan, Jadhav, Vikas, Shirolkar, Devendra
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2510.13924

Abstract

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

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