Article ID: CBB159029273

On the Youthful Writings of Louis J. Mordell on the Diophantine Equation y^2−k=x^3 (2019)

unapi

This article examines the research of Louis J. Mordell on the Diophantine equation $$y^2-k=x^3$$y2-k=x3as it appeared in one of his first papers, published in 1914. After presenting a number of elements relating to Mordell’s mathematical youth and his (problematic) writing, we analyze the 1914 paper by following the three approaches he developed therein, respectively, based on the quadratic reciprocity law, on ideal numbers, and on binary cubic forms. This analysis allows us to describe many of the difficulties in reading and understanding Mordell’s proofs, difficulties which we make explicit and comment on in depth.

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https://data.isiscb.org/isis/citation/CBB159029273/

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Authors & Contributors
Mechthild Koreuber
Schwermer, Joachim
Parshall, Karen V. Hunger
Paola Magrone
Ciccoli, N.
Sheynin, Oscar B.
Concepts
Mathematics
Algebra
Biographies
Research schools
Geometry
Arithmetic
Time Periods
20th century, early
19th century
Modern
Places
Italy
United Kingdom
United States
Russia
Germany
China
Institutions
University of Chicago
Göttingen. Universität
University of Wisconsin
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