A Note on the Irrationality of Angles of Kloosterman Sums over Finite Field

Authors

  • Lyubomir Borissov Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
  • Yuri Borissov Institute of Mathematics and Informatics, Bulgarian Academy of Sciences

DOI:

https://doi.org/10.7546/CRABS.2022.05.03

Keywords:

Kloosterman sum over finite field, angle of Kloosterman sum, Weil bound

Abstract

We prove that the angles of Kloosterman sums over arbitrary finite field are incommensurable with the constant π.

Author Biographies

Lyubomir Borissov, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences

Mailing Address:
Institute of Mathematics and Informatics,
Bulgarian Academy of Sciences
Akad. G. Bonchev St, Bl. 8
1113 Sofia, Bulgaria

E-mail: lubobs90@math.bas.bg

Yuri Borissov, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences

Mailing Address:
Institute of Mathematics and Informatics,
Bulgarian Academy of Sciences
Akad. G. Bonchev St, Bl. 8
1113 Sofia, Bulgaria

E-mail: youri@math.bas.bg

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Published

31-05-2022

How to Cite

[1]
L. Borissov and Y. Borissov, “A Note on the Irrationality of Angles of Kloosterman Sums over Finite Field”, C. R. Acad. Bulg. Sci., vol. 75, no. 5, pp. 649–654, May 2022.

Issue

Vol. 75 No. 5 (2022)

Section

Mathematics

License

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