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The generating fields of two twisted Kloosterman sums

  • CAS Wu Wen-Tsun Key Laboratory of Mathematics, School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China

Cite this: JUSTC, 2021, 51(12): 879-888
https://doi.org/10.52396/JUST-2021-0077
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  • Received Date: March 16, 2021
  • Revised Date: May 17, 2021
  • Published Date: December 30, 2021
    Abstract
  • The generating fields of the twisted Kloosterman sums Kl (q, a, χ) and the partial Gauss sums g(q, a, χ) are studied.We require that the characteristic p is large with respect to the order d of the character χ and the trace of the coefficient a is nonzero.When p≡±1 mod d,we can characterize the generating fields of these character sums.For general p,when a lies in the prime field,we propose a combinatorial condition on (p, d) to ensure one can determine the generating fields.
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    2021 No. 12 Volume 51 Issue 12 PP. 879-888
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