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Pairs of additive equations. III: Quintic equations. (English) Zbl 0497.10036


MSC:

11P55 Applications of the Hardy-Littlewood method
11D72 Diophantine equations in many variables
11D41 Higher degree equations; Fermat’s equation
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References:

[1] DOI: 10.1307/mmj/1029000942 · Zbl 0244.10046 · doi:10.1307/mmj/1029000942
[2] DOI: 10.1098/rspa.1939.0033 · Zbl 0022.00803 · doi:10.1098/rspa.1939.0033
[3] DOI: 10.1112/jlms/s2-4.2.319 · Zbl 0224.10021 · doi:10.1112/jlms/s2-4.2.319
[4] Chowla, Norske Vid. Selsk. Forh 36 pp 169– (1963)
[5] Vinogradov, Izvestia Akad. Nauk. SSSR 23 pp 637– (1959)
[6] Vinogradov, The Method of Trigonometrical Sums in the Theory of Numbers (1954) · Zbl 0055.27504
[7] Vaughan, The Hardy-Littlewood Method (1981)
[8] DOI: 10.1112/plms/s3-34.2.354 · Zbl 0341.10044 · doi:10.1112/plms/s3-34.2.354
[9] Vaughan, Acta Arith 33 pp 231– (1977)
[10] DOI: 10.1016/0022-314X(71)90042-4 · Zbl 0213.05203 · doi:10.1016/0022-314X(71)90042-4
[11] DOI: 10.1098/rsta.1969.0035 · Zbl 0207.35304 · doi:10.1098/rsta.1969.0035
[12] DOI: 10.1098/rsta.1966.0060 · Zbl 0227.10038 · doi:10.1098/rsta.1966.0060
[13] DOI: 10.1098/rspa.1963.0143 · Zbl 0118.28002 · doi:10.1098/rspa.1963.0143
[14] Davenport, Proc. Sympos. Pure Math. XII pp 74– (1969)
[15] Cook, Quart. J. Math 23 pp 287– (1972)
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