THE PAUCITY PROBLEM FOR CERTAIN SYMMETRIC DIOPHANTINE EQUATIONS

DOI10.1017/s000497272200096xarXiv2211.10500MaRDI QIDQ6093242

Trevor D. Wooley

Publication date: 6 September 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.10500

zbMATH Keywords

symmetric polynomialspaucityDiophantine equations

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Diophantine equations in many variables (11D72)

Cites Work

• A quasi-paucity problem
• On a certain nonary cubic form and related equations
• Sums and differences of two cubic polynomials
• A paucity problem associated with a shifted integer analogue of the divisor function
• Multiplicative congruences with variables from short intervals
• Rational points on complete intersections of higher degree, and mean values of Weyl sums
• On Another Sieve Method and the Numbers that are a Sum of Two h th Powers
• Symmetric Diophantine systems
• The paucity problem for simultaneous quadratic and biquadratic equations
• A special case of Vinogradov's mean value theorem
• Some Diophantine equations with almost all solutions trivial
• On another sieve method and the numbers that are a sum of two hth powers: II.
• The density of rational points on cubic surfaces
• Rational points on linear slices of diagonal hypersurfaces
• Paucity problems and some relatives of Vinogradov’s mean value theorem
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