Abstract
The congruences for Jacobi sums of some lower orders have been treated by many authors in the literature. In this paper, we establish the congruences for Jacobi sums of order \(2l^2\) with odd prime l in terms of coefficients of Jacobi sums of order l. These congruences are useful to obtain algebraic and arithmetic characterizations for Jacobi sums of order \(2l^{2}\).
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Acknowledgements
The authors would like to thank Central University of Jharkhand, Ranchi, Jharkhand, India for the support during preparation of this research article. The second author thanks to Babasaheb Bhimrao Ambedkar university, Lucknow, India where he got affiliated to and revised the manuscript.
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Ahmed, M.H., Tanti, J. Complete congruences of Jacobi sums of order \(2l^{2}\) with prime l. Ramanujan J 59, 967–977 (2022). https://doi.org/10.1007/s11139-022-00592-2
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DOI: https://doi.org/10.1007/s11139-022-00592-2