Hybrid Mean Value of General Quartic Gauss Sums and Three-Term Exponential Sums
Shikha Singh1, Jagmohan Tanti2
1Dr. Shikha Singh, Assistant Professor, Department of Mathematics, Central University of Jharkhand, Ranchi (Jharkhand), India.
2Prof. Jagmohan Tanti, Department of Mathematics, Central University of Jharkhand, Ranchi (Jharkhand), India.
Manuscript received on 22 September 2025 | Revised Manuscript received on 12 October 2025 | Manuscript Accepted on 15 October 2025 | Manuscript published on 30 October 2025 | PP: 74-80 | Volume-5 Issue-2, October 2025 | Retrieval Number: 100.1/ijam.B121905021025 | DOI: 10.54105/ijam.B1219.05021025
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© The Authors. Published by Lattice Science Publication (LSP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: This paper explores the hybrid power mean of three-term exponential sums, incorporating weights derived from general quartic Gauss sums. By employing the theory of Dirichlet characters in conjunction with fundamental properties of classical Gauss sums, we establish several significant results. Furthermore, we determine the corresponding weight function for these three-term exponential sums, with particular applications in coding theory.
Keywords: Dirichlet Character, Quartic Gauss Sums, Three Term Exponential Sum. MSC: 11L05.
Scope of the Article: Number Theory