# Cyclotomic numbers of order 2l, l an odd prime

Vinaykumar V. Acharya; S. A. Katre

Acta Arithmetica (1995)

- Volume: 69, Issue: 1, page 51-74
- ISSN: 0065-1036

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topVinaykumar V. Acharya, and S. A. Katre. "Cyclotomic numbers of order 2l, l an odd prime." Acta Arithmetica 69.1 (1995): 51-74. <http://eudml.org/doc/206672>.

@article{VinaykumarV1995,

author = {Vinaykumar V. Acharya, S. A. Katre},

journal = {Acta Arithmetica},

keywords = {finite fields; cyclotomic numbers; Jacobi sums; diophantine system},

language = {eng},

number = {1},

pages = {51-74},

title = {Cyclotomic numbers of order 2l, l an odd prime},

url = {http://eudml.org/doc/206672},

volume = {69},

year = {1995},

}

TY - JOUR

AU - Vinaykumar V. Acharya

AU - S. A. Katre

TI - Cyclotomic numbers of order 2l, l an odd prime

JO - Acta Arithmetica

PY - 1995

VL - 69

IS - 1

SP - 51

EP - 74

LA - eng

KW - finite fields; cyclotomic numbers; Jacobi sums; diophantine system

UR - http://eudml.org/doc/206672

ER -

## References

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- [3] L. E. Dickson, Cyclotomy, higher congruences, and Waring's problem, Amer. J. Math. 57 (1935), 391-424. Zbl0012.01203
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- [7] S. A. Katre and A. R. Rajwade, Resolution of the sign ambiguity in the determination of the cyclotomic numbers of order 4 and the corresponding Jacobsthal sum, Math. Scand. 60 (1987), 52-62. Zbl0602.12005
- [8] J. B. Muskat, The cyclotomic numbers of order fourteen, Acta Arith. 11 (1966), 263-279. Zbl0139.28101
- [9] J. C. Parnami, M. K. Agrawal and A. R. Rajwade, Jacobi sums and cyclotomic numbers for a finite field, Acta Arith. 41 (1982), 1-13. Zbl0491.12019
- [10] T. Storer, On the unique determination of the cyclotomic numbers for Galois fields and Galois domains, J. Combin. Theory 2 (1967), 296-300. Zbl0154.04903
- [11] A. L. Whiteman, Cyclotomic numbers of order 10, in: Proc. Sympos. Appl. Math. 10, Amer. Math. Soc., 1960, 95-111.
- [12] Y. C. Zee, Jacobi sums of order 22, Proc. Amer. Math. Soc. 28 (1971), 25-31 Zbl0213.32901

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