ICCGNFRT-2017 Proceedings, HRI Allahabad manuscript No. (will be inserted by the editor) Thue Diophantine Equations A survey Michel Waldschmidt

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333 Documenta Math. Integer-Valued Quadratic Forms and Quadratic Diophantine Equations

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347 Documenta Math. On the Solutions of Quadratic Diophantine Equations

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347 Documenta Math. On the Solutions of Quadratic Diophantine Equations

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• Mathematics
• Algebraic number field
• Algebraic number theory
• Field theory
• Polar coordinate system
• Symbol

How Euler Did It by Ed Sandifer Rational trigonometry March 2008 Triangles are one of the most basic objects in mathematics. We have been studying them for thousands of years, and the study of triangles, Trigonometry, is

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• Mathematics
• Geometry
• Triangle geometry
• Trigonometry
• Triangles
• Diophantine equations
• Angle
• Pythagorean triple
• Integer triangle
• Triangle
• Pythagorean theorem
• Number theory

On the solvability of certain equations over finite fields Ioulia N. Baoulina Indian Statistical Institute, Chennai Centre Ioulia N. Baoulina

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• Finite fields
• Diophantine equations

Effective equidistribution of eigenvalues of Hecke operators

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• Diophantine approximation
• Ergodic theory
• Equidistributed sequence
• Equidistribution theorem
• Hecke operator
• Spectral theory
• Spectral theory of ordinary differential equations

RANDOM DIOPHANTINE EQUATIONS ´ FELIPE VOLOCH BJORN POONEN AND JOSE ´ le `ne and Nicholas M. Katz)

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• Algebraic number theory
• Ring theory
• Homology theory
• Field theory
• Brauer group
• tale cohomology
• Algebraic number field
• Poincar duality
• Cohomology
• Hasse principle
• Ring
• Hodge conjecture

KNOW THAT THERE ARE NUMBERS THAT ARE NOT RATIONAL, AND APPROXIMATE THEM BY RATIONAL NUMBERS GRADE 8 MATHEMATICS

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• Equations
• Elementary algebra
• Linear equation
• Linear function
• System of linear equations
• Linearity
• Matrix
• Nonlinear system
• Diophantine equation

Elliptic Curves and Galois Representations Caleb McWhorter Fall 2014 General Motivation Diophantine equations are the study of solutions of polynomial equations in integers or rationals. Take the

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