The 1729 K3 Surface (original) (raw)

A singular K3 surface related to sums of consecutive cubes

Jaap Top

Indagationes Mathematicae, 2000

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Some Facts about the Beauty of Ramanujan Number 1729

IOSR Journals

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Automorphic forms and cubic twists of elliptic curves

Daniel Lieman

arXiv: Number Theory, 1994

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The Many Lives of the Twisted Cubic

John Little

The American Mathematical Monthly, 2019

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Nontrivial elements of Sha explained through K3 surfaces

Adam Logan

Mathematics of Computation, 2009

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Simultaneous twists of elliptic curves and the Hasse principle for certain K3 surfaces

vivek pal

2016

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AN ISOGENY OF K3 SURFACES

Jaap Top

Bulletin of the London Mathematical Society, 2006

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On the problem of enumerating twisted cubics

Ragni Piene

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24 rational curves on K3 surfaces

Sławomir Rams

2019

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Elliptic K3 Surfaces Associated with The product of Two Elliptic Curves: Mordell–Weil Lattices and Their Fields Of definition

Abhinav Kumar

Nagoya Mathematical Journal, 2016

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On the high rank pi/3\pi/3pi/3 and 2pi/32\pi/32pi/3-congruent number elliptic curves

Andrej Dujella

arXiv (Cornell University), 2011

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A Geometric Approach To Ramanujan\u27s Taxi Cab Problem And Other Diophantine Dilemmas

Zachary Easley

2016

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On the high rank π/3 and 2π/3- congruent number elliptic curves

Sajad Salami, Andrej Dujella

Rocky Mountain J. Math., 2014

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K3 surfaces of finite height over finite fields

Noriko Yui

arXiv (Cornell University), 2007

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The Barth quintic surface has Picard number 41

Sławomir Rams

arXiv: Algebraic Geometry, 2011

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Cubic forms, powers of primes and classification of elliptic curves

Karolina Chałupka

2021

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On normal K3 surfaces

ichiro shimada

The Michigan Mathematical Journal, 2007

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On high rank $ pi/3$ and 2pi/32 pi/32pi/3-congruent number elliptic curves

Andrej Dujella

Rocky Mountain Journal of Mathematics, 2014

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K3 surfaces and equations for Hilbert modular surfaces

Abhinav Kumar

2012

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Diophantine Triples and Construction of High-Rank Elliptic Curves over bfQbf QbfQ with Three NonTrivial 2Torsion Points

Andrej Dujella

Rocky Mountain Journal of Mathematics, 2000

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Transcendental Lattices of Certain Singular K3 Surfaces

Ken-ichiro Arima

2008

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On twists of the Fermat cubic x^3+y^3=2

Tomek Jedrzejak

International Journal of Number Theory 01/2014; 10(1):55-72.

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On Ramanujan’s Cubic Composition Formula

Valentin Ovsienko

The Mathematical Intelligencer, 2022

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Some Diophantine problems

Gregory Chudnovsky

Contributions to the Theory of Transcendental Numbers, 1984

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Addendum to``K3 Surfaces of Genus 8 and Varieties of Sums of Powers of Cubic Fourfolds

Kristian Ranestad

2007

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High rank elliptic curves induced by rational Diophantine triples

Andrej Dujella

Glasnik Matematicki, 2020

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On cubic Thue equations and the indices of algebraic integers in cubic fields

Mohammed Seddik

Applicable Analysis and Discrete Mathematics

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Research announcements: On K3and Kaof the integers mod n

Janet Aisbett

Bulletin of the American Mathematical Society, 1982

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The two faces of the twisted Kummer surface

Adam Logan

Acta Arithmetica, 2010

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On the Diophantine equations X^3+Y^3+Z^3+aU^k=a_0U_0^t_0+...+a_nU_n^t_n, k=3,4

farzali izadi

2017

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