On the pure Jacobi sums

Shigeki Akiyama

Acta Arithmetica (1996)

  • Volume: 75, Issue: 2, page 97-104
  • ISSN: 0065-1036

How to cite

top

Shigeki Akiyama. "On the pure Jacobi sums." Acta Arithmetica 75.2 (1996): 97-104. <http://eudml.org/doc/206870>.

@article{ShigekiAkiyama1996,
author = {Shigeki Akiyama},
journal = {Acta Arithmetica},
keywords = {pure Jacobi sums; character sums; root of unity},
language = {eng},
number = {2},
pages = {97-104},
title = {On the pure Jacobi sums},
url = {http://eudml.org/doc/206870},
volume = {75},
year = {1996},
}

TY - JOUR
AU - Shigeki Akiyama
TI - On the pure Jacobi sums
JO - Acta Arithmetica
PY - 1996
VL - 75
IS - 2
SP - 97
EP - 104
LA - eng
KW - pure Jacobi sums; character sums; root of unity
UR - http://eudml.org/doc/206870
ER -

References

top
  1. [1] L. D. Baumert, W. H. Mills and R. L. Ward, Uniform cyclotomy, J. Number Theory 14 (1982), 67-82. 
  2. [2] B. C. Berndt and R. J. Evans, Sums of Gauss, Jacobi, Jacobsthal, J. Number Theory 11 (1979), 349-398. Zbl0412.10027
  3. [3] B. C. Berndt and R. J. Evans Sums of Gauss, Eisenstein, Jacobi, Jacobsthal, and Brewer, Illinois J. Math. 23 (1979), 374-437. 
  4. [4] B. C. Berndt and R. J. Evans Sums of Gauss, The determination of Gauss sums, Bull. Amer. Math. Soc. (N.S.) 5 (1981), 107-129. Zbl0471.10028
  5. [5] B. C. Berndt and R. J. Evans Sums of Gauss, Corrigendum to 'The determination of Gauss sums', Bull. Amer. Math. Soc. (N.S.) 7 (1982), 441. 
  6. [6] S. Chowla, On Gaussian sums, Proc. Nat. Acad. Sci. U.S.A. 48 (1962), 1127-1128. 
  7. [7] R. J. Evans, Generalization of a theorem of Chowla on Gaussian sums, Houston J. Math. 3 (1977), 343-349. Zbl0372.10028
  8. [8] R. J. Evans, Resolution of sign ambiguities in Jacobi and Jacobsthal sums, Pacific J. Math. 81 (1979), 71-80. Zbl0419.10037
  9. [9] R. J. Evans, Pure Gauss sums over finite fields, Mathematika 28 (1981), 239-248. Zbl0475.10032
  10. [10] T. Ito, H. Ishibashi, A. Munemasa and M. Yamada, The Terwilliger algebra of cyclotomic schemes and rationality of Jacobi Sums, in: Abstracts of the Conference on Algebraic Combinatorics, Fukuoka, 1993, 43-44. 
  11. [11] D. S. Kubert and S. Lang, Independence of modular units on Tate curves, Math. Ann. 240 (1979), 191-201. Zbl0382.14008
  12. [12] S. Lang, Cyclotomic Fields, I and II, Graduate Texts in Math. 121, Springer, 1990. 
  13. [13] L. Mordell, On a cyclotomic resolvent, Arch. Math. (Basel) 13 (1962), 486-487. Zbl0112.03401

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.