Paucity problems and some relatives of Vinogradov’s mean value theorem

DOI10.1017/s0305004123000166arXiv2107.12238WikidataQ122904728 ScholiaQ122904728MaRDI QIDQ6116303

Trevor D. Wooley

Publication date: 11 August 2023

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.12238

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Counting solutions of Diophantine equations (11D45)

Related Items (2)

THE PAUCITY PROBLEM FOR CERTAIN SYMMETRIC DIOPHANTINE EQUATIONS ⋮ A paucity problem associated with a shifted integer analogue of the divisor function

Cites Work

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• The cubic case of the main conjecture in Vinogradov's mean value theorem
• Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
• A PAUCITY ESTIMATE RELATED TO NEWTON SUMS OF ODD DEGREE
• Rational points on complete intersections of higher degree, and mean values of Weyl sums
• A special case of Vinogradov's mean value theorem
• Some Diophantine equations with almost all solutions trivial
• Nested efficient congruencing and relatives of Vinogradov's mean value theorem

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