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The number of solutions of diagonal cubic equations over finite fields
Institution:1. School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450046, PR China;2. School of Mathematics and Information Sciences, Henan University of Economics and Law, Zhengzhou, 450046, PR China;1. Applied Algebra and Optimization Research Center, Sungkyunkwan University, Suwon, Republic of Korea;2. Institute of Mathematical Sciences, Ewha Womans University, Seoul, Republic of Korea;1. Institute of Mathematics, State Academy of Sciences, Pyongyang, Democratic People''s Republic of Korea;2. PGItech Corp., Pyongyang, Democratic People''s Republic of Korea;3. Department of Mathematics, University of Paris VIII, F-93526 Saint-Denis, France;4. University Sorbonne Paris Cité, LAGA, UMR 7539, CNRS, 93430 Villetaneuse, France;5. Telecom Paris, Polytechnic Institute of Paris, 91120 Palaiseau, France;1. Department of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, China;2. Hubei Key Laboratory of Intelligent Wireless Communications, South-Central University for Nationalities, Wuhan 430074, China;3. Department of Informatics, University of Bergen, N-5020 Bergen, Norway
Abstract:
Keywords:Gauss sum  Jacobi sum  Generating function  Diagonal cubic equation  Exponential sum
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