Equal sums of two \(k\)th powers

DOI10.1006/jnth.2002.2800zbMath1018.11014OpenAlexW2148611836MaRDI QIDQ1864862

Timothy D. Browning

Publication date: 23 March 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2002.2800

zbMATH Keywords

upper boundrational pointsplane curvecounting functionequal sums of like powers

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Higher degree equations; Fermat's equation (11D41) Special surfaces (14J25)

Related Items (6)

Metric theory of Weyl sums ⋮ Unnamed Item ⋮ Additive representation in short intervals. II: Sums of two like powers ⋮ Mahler's work on Diophantine equations and subsequent developments ⋮ On the representation of \(k\)-free integers by binary forms ⋮ On the representation of integers by binary forms

Cites Work

• An application of Galois theory to elementary arithmetic
• The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
• On Another Sieve Method and the Numbers that are a Sum of Two h th Powers
• On another sieve method and the numbers that are a sum of two hth powers: II.
• The density of rational points on cubic surfaces
• On the representation of a number as a sum of two fourth powers
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