Effective Results and Methods for Diophantine Equations over Finitely Generated Domains

di Jan-Hendrik Evertse (Autore)

Kalman Gyory (Autore)

Cambridge University Press, 2022

This book provides the first thorough treatment of effective results and methods for Diophantine equations over finitely generated domains. Compiling diverse results and techniques from papers written in recent decades, the text includes an in-depth analysis of classical equations including unit equations, Thue equations, hyper- and superelliptic equations, the Catalan equation, discriminant equations and decomposable form equations. The majority of results are proved in a quantitative form, giving effective bounds on the sizes of the solutions. The necessary techniques from Diophantine approximation and commutative algebra are all explained in detail without requiring any specialized knowledge on the topic, enabling readers from beginning graduate students to experts to prove effective finiteness results for various further classes of Diophantine equations.

• Autore: Jan-Hendrik Evertse, Kalman Gyory
• Editore: Cambridge University Press
• Collana: London Mathematical Society Lecture Note Series
• Anno: 2022
• Rilegatura: Paperback / softback
• Pagine: 240 p.
• Dimensioni: 230 x 152 mm
• Peso: 360 gr.
• EAN: 9781009005852

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