Abstract
The main purpose of this article is to study higher order moments of Kummer sums weighted by L-functions using estimates for character sums and analytic methods. The results of this article complement a conjecture of Zhang Wenpeng (2002). Also the results in this article give analogous results of Kummer’s conjecture (1846).
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During the preparation of this article, the author was supported by the NBHM post doctoral fellowship (No.:0204/3/2021/R &D-II/7363)).
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Bag, N. Moments of Kummer sums weighted by L-functions. Ramanujan J (2024). https://doi.org/10.1007/s11139-024-00862-1
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DOI: https://doi.org/10.1007/s11139-024-00862-1