논문KCI 등재
IDENTITIES ARISING FROM GAUSS SUMS FOR SYMPLECTIC AND ORTHOGONAL GROUPS
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We express Gauss sums for symplectic and orthogonal groups over finite fields as averages of exponential sums over certain maximal tori. Together with our previous results, we obtain some interesting identities involving various classical Gauss and Kloosterman sums.
Abstract
We express Gauss sums for symplectic and orthogonal groups over finite fields as averages of exponential sums over certain maximal tori. Together with our previous results, we obtain some interesting identities involving various classical Gauss and Kloosterman sums.
참고문헌 (18)
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관련 논문AI추천
Codes associated with O(3,2^r) and power moments of Kloosterman sums with trace one arguments김대산장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제2호Ternary codes associated with symplectic groups and power moments of Kloosterman sums with square arguments김대산, J. H. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제1호Theta sums of higher index양재현대한수학회 · 대한수학회보2016 · 제53권 제6호Construction of recursive formulas generating power moments of Kloosterman sums: $O^{+}(2n,2^{r})$ case김대산대한수학회 · 대한수학회지2020 · 제57권 제3호Remarks on Gauss sums over Galois rings권태룡, 유원석강원경기수학회 · 한국수학논문집2009 · 제17권 제1호CODES CONSTRUCTED FROM SYMPLECTIC GROUPS AND RECURSIVE FORMULAS GENERATING POWER MOMENTS OF KLOOSTERMAN SUMS김대산장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제2호
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