Number theory

Table of contents

Diophantine equations

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Arithmetic problems of solid geometry

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Heronian tetrahedron

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Archimedes's cattle problem

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Beal conjecture

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Birch's theorem

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Brahmagupta's problem

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Brauer's theorem on forms

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Bézout's identity

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Catalan's conjecture

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Chakravala method

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Coin problem

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Diophantine equation

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Diophantine quintuple

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Diophantine set

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Diophantus II.VIII

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Diophantus and Diophantine Equations

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Effective results in number theory

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Eisenstein triple

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Equation xy = yx

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Erdős–Moser equation

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Erdős–Straus conjecture

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Euler's sum of powers conjecture

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Euler brick

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Fermat's right triangle theorem

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Fermat–Catalan conjecture

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Goormaghtigh conjecture

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Heegner's lemma

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Hilbert's tenth problem

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Jacobi–Madden equation

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Lander, Parkin, and Selfridge conjecture

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Legendre's equation

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Lonely runner conjecture

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Markov number

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Mordell curve

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Optic equation

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Pell's equation

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Proof by infinite descent

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Prouhet–Tarry–Escott problem

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Pythagorean quadruple

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Pythagorean triple

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Ramanujan–Nagell equation

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Siegel's theorem on integral points

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Sum of four cubes problem

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Sums of three cubes

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The monkey and the coconuts

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Thue equation

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Tijdeman's theorem

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Tree of primitive Pythagorean triples

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Tunnell's theorem

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Integer partitions

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Crank of a partition

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Glaisher's theorem

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Partition (number theory)

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Pentagonal number theorem

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Rank of a partition

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Triangle of partition numbers

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Number theorists

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Indian number theorists

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Anupam Saikia

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Arul Shankar

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Chandrashekhar Khare

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D. R. Kaprekar

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Dinesh Thakur (mathematician)

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Eknath Prabhakar Ghate

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Hansraj Gupta

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Hoon Balakram

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K. G. Ramanathan

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Kanakanahalli Ramachandra

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Kannan Soundararajan

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Krishnaswami Alladi

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Manjul Bhargava

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Mathukumalli V. Subbarao

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Nayandeep Deka Baruah

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P Kesava Menon

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R. K. Rubugunday

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Ritabrata Munshi

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Sarvadaman Chowla

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Srinivasacharya Raghavan

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Subbayya Sivasankaranarayana Pillai

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Sujatha Ramdorai

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Tarlok Nath Shorey

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A. O. L. Atkin

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Adam Harper

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Adam Logan

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Adrien-Marie Legendre

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Alan Baker (mathematician)

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Albert A. Mullin

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Albert Ingham

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Alexander Aigner

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Alexander Buchstab

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Alexander Gelfond

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Alexander Oppenheim

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Alexandru Zaharescu

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Alexey Georgiyevich Postnikov

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Alfred Brauer

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Alfred van der Poorten

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Alice Silverberg

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Alina Bucur

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Alina Carmen Cojocaru

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Number theory by

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