Basics on the theory of heights and its applications to certain diophantine problems

Umberto Zannier

doi:10.1016/j.exmath.2017.08.008

Basics on the theory of heights and its applications to certain diophantine problems

Expositiones Mathematicae ◽

10.1016/j.exmath.2017.08.008 ◽

2018 ◽

Vol 36 (1) ◽

pp. 1-31

Author(s):

Umberto Zannier

Keyword(s):

Diophantine Problems

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Some Decidable Diophantine Problems: Positive Solution to a Problem of Davis, Matijasevic and Robinson

Proceedings of the American Mathematical Society ◽

10.2307/2042179 ◽

1979 ◽

Vol 77 (3) ◽

pp. 319

Author(s):

Moshe Koppel

Keyword(s):

Positive Solution ◽

Diophantine Problems

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Exponential sums, the geometry of hyperplane sections, and some diophantine problems

Israel Journal of Mathematics ◽

10.1007/bf02808077 ◽

1992 ◽

Vol 80 (3) ◽

pp. 359-379 ◽

Cited By ~ 16

Author(s):

Alexei N. Skorobogatov

Keyword(s):

Exponential Sums ◽

Diophantine Problems ◽

Hyperplane Sections

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Diophantine Problems in Many Variables: The Role of Additive Number Theory

Topics in Number Theory ◽

10.1007/978-1-4613-0305-3_3 ◽

1999 ◽

pp. 49-83 ◽

Cited By ~ 1

Author(s):

Trevor D. Wooley

Keyword(s):

Number Theory ◽

Additive Number Theory ◽

Additive Number ◽

Diophantine Problems

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Diophantine Problems in Complex Hyperbolic Analysis

Springer Collected Works in Mathematics - Collected Papers III ◽

10.1007/978-1-4614-6324-5_16 ◽

2000 ◽

pp. 300-317

Author(s):

Serge Lang

Keyword(s):

Diophantine Problems

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Some decidable Diophantine problems: positive solution to a problem of Davis, Matijasevič and Robinson

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1979-0545589-6 ◽

1979 ◽

Vol 77 (3) ◽

pp. 319-319

Author(s):

Moshe Koppel

Keyword(s):

Positive Solution ◽

Diophantine Problems

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Weak asymptotics for the numbers of solutions of diophantine problems

Functional Analysis and Its Applications ◽

10.1007/bf02467112 ◽

1999 ◽

Vol 33 (4) ◽

pp. 292-293 ◽

Cited By ~ 18

Author(s):

V. I. Arnold

Keyword(s):

Weak Asymptotics ◽

Diophantine Problems

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On Diophantine problems with mixed powers of primes

Acta Arithmetica ◽

10.4064/aa170225-23-10 ◽

2018 ◽

Vol 182 (2) ◽

pp. 183-199 ◽

Cited By ~ 1

Author(s):

Wenxu Ge ◽

Tianqin Wang

Keyword(s):

Diophantine Problems

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On the decidability of Diophantine problems in combinatorial geometry

Bulletin of the American Mathematical Society ◽

10.1090/s0273-0979-1987-15532-7 ◽

1987 ◽

Vol 17 (1) ◽

pp. 121-125 ◽

Cited By ~ 14

Author(s):

Bernd Sturmfels

Keyword(s):

Combinatorial Geometry ◽

Diophantine Problems

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Modular Elliptic Curves and Diophantine Problems

Number Theory ◽

10.1515/9783110848632-016 ◽

1990 ◽

pp. 157-176 ◽

Cited By ~ 1

Keyword(s):

Elliptic Curves ◽

Diophantine Problems

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EFFECTIVE METHODS IN DIOPHANTINE PROBLEMS. II

World Scientific Series in 20th Century Mathematics - Fields Medallists' Lectures ◽

10.1142/9789812385215_0025 ◽

1997 ◽

pp. 183-189

Author(s):

A. BAKER

Keyword(s):

Diophantine Problems

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