A combinatorial problem in finite fields. I.

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A combinatorial problem in finite fields. I.

Gerald Myerson

Source: Pacific J. Math. Volume 82, Number 1 (1979), 179-187.

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Related Works:

: Gerald Myerson. A combinatorial problem in finite fields. {II}. II [MR 81i:05014] Quart. J. Math. Oxford Ser. (2) 31 1980 122 219--231.

Mathematical Reviews (MathSciNet): MR81i:05014

Primary Subjects: 05A15

Secondary Subjects: 12C20

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102785070
Zentralblatt MATH identifier: 0408.12019
Zentralblatt MATH identifier: 0371.12027
Mathematical Reviews number (MathSciNet): MR549842

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References

[1] L. D. Baumert and H. Fredricksen, The cyclotomic numbers of order eighteen with applications to difference sets, Math. Comp., 21 (1967), 204-219.

Mathematical Reviews (MathSciNet): MR36:6370

Zentralblatt MATH: 0154.29302

[2] L. E. Dickson, Cyclotomy, higher congruences, and Waring}sproblem, Amer. J. Math., 57 (1935), 391-424.

Zentralblatt MATH: 0012.01203

[3] L. E. Dickson, Linear Groups, Dover 1958.

Mathematical Reviews (MathSciNet): MR21:3488

Zentralblatt MATH: 0082.24901

[4] J. B. Muskat, The cyclotomic numbersof order fourteen, Acta Arithmetica, 11 (1965/6), 263-279.

Mathematical Reviews (MathSciNet): MR33:1302

Zentralblatt MATH: 0139.28101

[5] J. B. Muskat and A. L. Whiteman, The cyclotomic numbers of order twenty, Acta Arith. 17 (1970), 185-216.

Mathematical Reviews (MathSciNet): MR42:3050

Zentralblatt MATH: 0216.30801

[6] A. R. Rajwade, The period equation for primes p congruent to 1 (Mod 5), Proc. Camb. Phil. Soc, 69 (1971), 153-155.

Mathematical Reviews (MathSciNet): MR43:1917

Zentralblatt MATH: 0206.34601

[7] T. Storer, Cyclotomy and Difference Sets, Markham 1967.

Mathematical Reviews (MathSciNet): MR36:128

Zentralblatt MATH: 0157.03301

[8] A. L. Whiteman, The cyclotomic numbersof order sixteen, Trans. Amer. Math. Soc, 86 (1957), 401-413.

Mathematical Reviews (MathSciNet): MR19:1160h

Zentralblatt MATH: 0078.03702

[9] A. L. Whiteman, The cyclotomic numbers of order ten, Proc. Symp. Appl. Math., 10, 95-111.

Mathematical Reviews (MathSciNet): MR22:4682

Zentralblatt MATH: 0096.02604

[10] A. L. Whiteman, The cyclotomic numbers of order twelve, Acta Arith., 6 (1960), 53-76.

Mathematical Reviews (MathSciNet): MR22:9480

Zentralblatt MATH: 0091.04302

[11] G.Myerson, A combinatorial problem in finite fields, II,to appear in Quarterly J. Math.

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