DOI QR코드

DOI QR Code

GAUSS SUMS ON 𝔽q[T]

  • 투고 : 2010.09.03
  • 심사 : 2010.11.25
  • 발행 : 2010.12.30

초록

We study Gauss sums on ${\mathbb{F}}_q[T]$ and get some functional equations for L-functions.

키워드

참고문헌

  1. T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, New York Heidelberg Berlin, 1976.
  2. B. Gross and M. Rosen, Fourier series and the special values of L-functions, Advances in Math. 69 (1988), 1-31. https://doi.org/10.1016/0001-8708(88)90059-X
  3. D. Hayes, A polynomial generalized Gauss sum, J. reine angew. Math. 222 (1966) 113-119.
  4. H. Iwaniec and E. Kowalski, Analytic Number Theory. In: Colloquium Publications 53, Amer. Math. Soc. 2004.
  5. S. Lang, Cyclotomic fields I and II, Springer-Verlag, New York Heidelberg Berlin, 1990.
  6. L. C. Washington, Introduction to Cyclotomic Fields, Springer-Verlag, New York Heidelberg Berlin, 1982.