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Louis J. Mordell - Wikipedia
Louis Joel Mordell (28 January 1888 – 12 March 1972) was an American-born British mathematician, known for his research in number theory.
en.wikipedia.org
en.wikipedia.org
The Mordell conjecture 100 years later
The Mordell Conjecture (proved by Faltings in 1983) is a landmark result exemplifying the philosophy "Geometry controls arithmetic". However, it also implies ...
mordell.org
mordell.org
Mordell curve - Wikipedia
In algebra, a Mordell curve is an elliptic curve of the form y2 = x3 + n, where n is a fixed non-zero integer.
en.wikipedia.org
en.wikipedia.org
mordell
† ˈmordell Obs. [app. repr. an OE. type *morᵹendǽl, f. morᵹen morn, morrow + dǽl deal n.1 Cf. the synonymous morrow-part.] The share of the husband's property to which a widow was entitled, as representing her ‘morning-gift’.1552 Will of Baldwin (Somerset Ho.), [Mentions his wife's] mordell [part of...
Oxford English Dictionary
prophetes.ai
A Century-Old Question Is Still Revealing Answers in Fundamental ...
Mathematicians have made lots of recent progress on a question called the Mordell conjecture, which was posed a century ago.
www.scientificamerican.com
www.scientificamerican.com
[PDF] the mordell conjecture 100 years later open problems
Introduction. The Mordell conjecture was formulated by Louis J. Mordell in 1922–1923 [Mor23] and proved by Gerd Faltings in 1983 [Fal83].
math.mit.edu
math.mit.edu
Bob Mordell
Mordell went on the 1979 tour of Japan with England but did not feature in the test matches. Mordell signed for Kent Invicta before their début season in 1983 for £13,500.
wikipedia.org
en.wikipedia.org
[PDF] Examples of Mordell's Equation - Keith Conrad
Introduction. The equation y2 = x3 + k, for k ∈ Z, is called Mordell's equation1 due to Mordell's work on it throughout his life. A natural number-theoretic ...
kconrad.math.uconn.edu
kconrad.math.uconn.edu
[PDF] a proof of the mordell-weil theorem
The goal of this expository paper is to give a self-contained proof of the Mordell-Weil theorem. This paper assumes a familiarity with algebraic ...
math.uchicago.edu
math.uchicago.edu
An Explicit Uniform Mordell Conjecture over Function Fields ... - arXiv
Abstract:We give an explicit uniform result on the Mordell conjecture for non-isotrivial curves over function field of characteristic 0.
arxiv.org
arxiv.org
Why should I believe the Mordell Conjecture? - MathOverflow
It was Faltings who first proved in 1983 the Mordell conjecture, that a curve of genus 2 or more over a number field has only finitely many ...
mathoverflow.net
mathoverflow.net
The Mordell Conjecture - Cambridge University Press & Assessment
The Mordell conjecture (Faltings's theorem) is one of the most important achievements in Diophantine geometry, stating that an algebraic curve of genus at ...
www.cambridge.org
www.cambridge.org
Mordell–Weil group
It is simply the group of -points of , so is the Mordell–Weil grouppg 207. See also
Mordell–Weil theorem
References
Further examples and cases
The Mordell–Weil Group of Curves of Genus 2
Determining the Mordell–Weil group
wikipedia.org
en.wikipedia.org
Find all positive integers that solve Mordell's equation $y^2=x^3+37$ Find all Mordell's equation: $$y^2=x^3+k$$ where $k=37$ positive integer numbers,I can't find the when $k=37$ the mordell equation solution with s...
If there exists $a$ such as $k=3a^2\pm1$ then the only solutions to the Mordell equation are $(a^2+k,\pm a(a^2-3k))$. See this paper for more details : Paper on Mordell's equation and another one.
prophetes.ai
Louis J. Mordell
His basic work on Mordell's theorem is from 1921 to 1922, as is the formulation of the Mordell conjecture. Mordell is said to have hated administrative duties.
wikipedia.org
en.wikipedia.org