A special case of Vinogradov's mean value theorem

DOI10.4064/aa-79-3-193-204zbMath0887.11042OpenAlexW1787089592MaRDI QIDQ4345812

Trevor D. Wooley, Robert C. Vaughan

Publication date: 29 July 1997

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/206975

zbMATH Keywords

Waring's problempaucityVinogradov mean value theoremasymptotic result

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Higher degree equations; Fermat's equation (11D41)

Related Items (12)

ON THE INHOMOGENEOUS VINOGRADOV SYSTEM ⋮ A quasi-paucity problem ⋮ THE PAUCITY PROBLEM FOR CERTAIN SYMMETRIC DIOPHANTINE EQUATIONS ⋮ Paucity problems and some relatives of Vinogradov’s mean value theorem ⋮ On Weyl sums for smaller exponents ⋮ Vinogradov's mean value theorem via efficient congruencing ⋮ Vinogradov's mean value theorem via efficient congruencing. II ⋮ APPROXIMATING THE MAIN CONJECTURE IN VINOGRADOV'S MEAN VALUE THEOREM ⋮ On Vinogradov's mean value theorem: strongly diagonal behaviour via efficient congruencing ⋮ The number of integer points on Vinogradov's quadric ⋮ Reversing a philosophy: from counting to square functions and decoupling ⋮ A paucity problem associated with a shifted integer analogue of the divisor function

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