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A complete solution to the polynomial 3-primes problem
Author(s):
Gove W.
Effinger;
David R.
Hayes
Journal:
Bull. Amer. Math. Soc.
24
(1991),
363-369.
MSC (1985):
Primary 11P32, 11T55
MathSciNet review:
1069987
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Additional information
References:
- 1.
- E. Artin, Geometric algebra, Interscience Publishers, New York, 1957. MR 82463
- 2.
- K. G. Borodzkin, K voprosu o postoyanni I. M. Vinogradov, Trudy tretego vsesoiuznogo matematiceskogo siezda 1 (1956), Moskva.
- 3.
- M. Car, Le problem de Goldbach pour l'anneau des polynomes sur un corps fini, C. R. Acad. Sci. Paris Ser. A 273 (1971), 201-204. MR 282938
- 4.
- G. W. Effinger, A Goldbach theorem for polynomials of low degree over odd finite fields, Acta Arithmetica 42 (1983), 329-365. MR 736718
- 5.
- G. W. Effinger, A Goldbach 3-primes theorem for polynomials of low degree over finite fields of characteristic 2, J. Number Theory 29 (1988), 345-363. MR 955958
- 6.
- G. W. Effinger, The polynomial 3-primes conjecture, Computer Assisted Analysis and Modeling on the IBM 3090, MIT Press, Cambridge, MA. (to appear).
- 7.
- G. W. Effinger and D. R. Hayes, Additive number theory of polynomials over a finite field, Oxford Univ. Press, England (to appear). MR 1143282
- 8.
- G. H. Hardy and J. E. Littlewood, Some problems of 'partitio numerorum': On the expression of a number as a sum of primes, Acta Math. (Stockholm) 44 (1923), 1-70. MR 1555183
- 9.
- D. R. Hayes, The distribution of irreducibles in GF[q, x], Trans. Amer. Math. Soc. 117 (1965), 101-127. MR 169838
- 10.
- D. R. Hayes, The expression of a polynomial as a sum of three irreducibles, Acta Arith. 11 (1966), 461-488. MR 201422
- 11.
- J. G. M. Mars, Sur l'approximation du nombre de solutions de certaines equations Diophantiennes, Ann. Sci. École Norm. Sup. 4 Ser. 6 (1973), 357-388. MR 432574
- 12.
- I. M. Vinogradov, Representation of an odd number as a sum of three primes, Comptes Rendues (Doklady) de l'Academy des Sciences de l'URSS, Tome 15 (1937), 191-294.
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Additional Information:
DOI:
10.1090/S0273-0979-1991-16035-0
PII:
S 0273-0979(1991)16035-0
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