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Davenport and Hasse's theorems and lifts of multiplication matrices of Gaussian periods
Affiliation:1. Department of Mathematics, Niigata University, Niigata 950-2181, Japan;2. Graduate School of Science and Technology, Niigata University, Niigata 950-2181, Japan;1. School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, People''s Republic of China;2. Department of Mathematics, Nanjing University, Nanjing 210093, People''s Republic of China;3. School of Physical and Mathematical Sciences, Nanjing Tech University, Nanjing 211816, People''s Republic of China;1. School of Science and Technology, College of arts and science of Hubei Normal University, Huangshi 435109, Hubei, China;2. School of Science, Hubei University of Technology, Wuhan, Hubei 430068, China;1. Dipartimento di Matematica e Informatica, Università degli studi di Perugia, Perugia, Italy;2. Dipartimento di Matematica, Università degli studi di Trento, Italy;1. TÜBİTAK BİLGEM UEKAE, National Research Institute of Electronics and Cryptology, Gebze, Kocaeli, Turkey;2. Department of Mathematics, Hacettepe University, Beytepe, Ankara, Turkey;1. Department of Mathematics, Shanghai Maritime University, Shanghai 201306, PR China;2. Department of Mathematics, University of California, Irvine, Irvine, CA 92697-3875, USA
Abstract:
Keywords:Jacobi sums  Gauss sums  Gaussian periods  Multiplication matrices  Finite Fourier transform
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