# On the pure Jacobi sums

Acta Arithmetica (1996)

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

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topShigeki 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] L. D. Baumert, W. H. Mills and R. L. Ward, Uniform cyclotomy, J. Number Theory 14 (1982), 67-82.
- [2] B. C. Berndt and R. J. Evans, Sums of Gauss, Jacobi, Jacobsthal, J. Number Theory 11 (1979), 349-398. Zbl0412.10027
- [3] B. C. Berndt and R. J. Evans Sums of Gauss, Eisenstein, Jacobi, Jacobsthal, and Brewer, Illinois J. Math. 23 (1979), 374-437.
- [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] 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] S. Chowla, On Gaussian sums, Proc. Nat. Acad. Sci. U.S.A. 48 (1962), 1127-1128.
- [7] R. J. Evans, Generalization of a theorem of Chowla on Gaussian sums, Houston J. Math. 3 (1977), 343-349. Zbl0372.10028
- [8] R. J. Evans, Resolution of sign ambiguities in Jacobi and Jacobsthal sums, Pacific J. Math. 81 (1979), 71-80. Zbl0419.10037
- [9] R. J. Evans, Pure Gauss sums over finite fields, Mathematika 28 (1981), 239-248. Zbl0475.10032
- [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] D. S. Kubert and S. Lang, Independence of modular units on Tate curves, Math. Ann. 240 (1979), 191-201. Zbl0382.14008
- [12] S. Lang, Cyclotomic Fields, I and II, Graduate Texts in Math. 121, Springer, 1990.
- [13] L. Mordell, On a cyclotomic resolvent, Arch. Math. (Basel) 13 (1962), 486-487. Zbl0112.03401

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