On gaps between sums of four fourth powers

DOI10.4064/aa191012-2-12arXiv1910.05079OpenAlexW2979589030MaRDI QIDQ6091288

Luca Ghidelli

Publication date: 24 November 2023

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

Full work available at URL: https://arxiv.org/abs/1910.05079

zbMATH Keywords

circle methodWaring's problemsums of four fourth powers

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Applications of the Hardy-Littlewood method (11P55) Density, gaps, topology (11B05)

Cites Work

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• Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three
• A new iterative method in Waring's problem
• Breaking classical convexity in Waring's problem: sums of cubes and quasi-diagonal behaviour
• Additive representation in short intervals. II: Sums of two like powers
• Additive properties of random sequences of positive integers
• Improvement on Davenport's iterative method and new results in additive number theory, I
• On some topics connected with Waring's problem.
• On Waring's Problem for Smaller Exponents
• Sums of Three Cubes
• A New Iterative Method in Waring's Problem II
• The circle method and diagonal cubic forms
• Sums of powers: an arithmetic refinement to the probabilistic model of Erdős and Rényi
• On gaps between numbers that are sums of three cubes
• Sums of three cubes
• The Vinogradov Mean Value Theorem [after Wooley, and Bourgain, Demeter and Guth]
• Arbitrarily long gaps between the values of positive‐definite cubic and biquadratic diagonal forms
• Sums of Three Cubes
• Nested efficient congruencing and relatives of Vinogradov's mean value theorem
• On Sums of Positive Integral k-TH Powers
• Algorithmic Number Theory
• On Waring's problem for cubes.
• On Waring's problem
• On Waring's problem: Two cubes and seven biquadrates

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