Nagoya Mathematical Journal

On a product related to the cubic Gauss sum. II

Hiroshi Ito

Full-text: Open access

Article information

Source
Nagoya Math. J., Volume 148 (1997), 1-21.

Dates
First available in Project Euclid: 14 June 2005

Permanent link to this document
https://projecteuclid.org/euclid.nmj/1118767025

Mathematical Reviews number (MathSciNet)
MR1492939

Zentralblatt MATH identifier
1058.11541

Subjects
Primary: 11L05: Gauss and Kloosterman sums; generalizations

Citation

Ito, Hiroshi. On a product related to the cubic Gauss sum. II. Nagoya Math. J. 148 (1997), 1--21. https://projecteuclid.org/euclid.nmj/1118767025


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References

  • [1] A. Cauchy, Methodesimple et nouvelle pour la determination complete des sommes alternees,formees avec les racines primitives des equations binomes, J. de Math., 5 (1840), 154-168.
  • [2] H. Ito, On a product related to the cubic Gauss sum, J. reine angew. Math., 395 (1989),202-213.
  • [3] J. H.Loxton, Productsrelatedto Gausssums,J. reine angew. Math., 268/269 (1974), 53-67.
  • [4] C. R. Matthews, Gauss sums and elliptic functions I. The Kummer sums, In- vent. Math., 52 (1979), 163-185.
  • [5] A. D.McGettric, A result in the theory of Weierstrassellipticfunctions, Proc. London Math. Soc. (3), 25 (1972), 41-54.
  • [6] I. V. Reshetukha, A product related to the cubic Gauss sum, Ukrain. Math. J., 37 (1985), 611-616.
  • [7] T. Takagi, Productformula of the cubic Gauss sum modulothe product of the primes, J. Number Theory, 62 (1997), 298-306. NagoyaUniversity Chikusa-ku,Nagoya 4.64-01 Japan itoOmath.nagoya-u.ac.jp

See also

  • See also: Hiroshi Ito. On a product related to the cubic Gauss sum. I. J. Reine Angew. Math. vol. 395 (1989), pp. 202--213.
  • See also: Hiroshi Ito. On a product related to the cubic Gauss sum. III. Canad. J. Math. vol. 53, no. 2 (2001), pp. 310--324.