Taxicabs and Sums of Two Cubes

DOI10.2307/2324954zbMath0796.11022OpenAlexW4230052349WikidataQ56334808 ScholiaQ56334808MaRDI QIDQ4695133

Joseph H. Silverman

Publication date: 29 September 1994

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2324954

zbMATH Keywords

elliptic curvesrankeffective algorithmsnumber of integral pointsMordell-Weil theoremsum of two cubes

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Elliptic curves over global fields (11G05)

Related Items (9)

AGM and Jellyfish Swarms of Elliptic Curves ⋮ Permutation invariant properties of primitive cubic quadruples ⋮ Infinite families of solutions for A3 + B3 = C3 + D3 and A4 + B4 + C4 + D4 + E4 = F4 ⋮ On primary Carmichael numbers ⋮ A Diophantine problem concerning cubes ⋮ On certain multiplicative structures on cubic extensions ⋮ The 1729 \(K3\) surface ⋮ ON THE SUMS OF TWO CUBES ⋮ Equal sums of two cubes of quadratic forms

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