Diophantine Approximations and Diophantine Equations
Schmidt, Wolfgang M.
Diophantine Approximations and Diophantine Equations [electronic resource] / by Wolfgang M. Schmidt. - VIII, 224 p. online resource. - Lecture Notes in Mathematics, 1467 0075-8434 ; . - Lecture Notes in Mathematics, 1467 .
Siegel’s lemma and heights -- Diophantine approximation -- The thue equation -- S-unit equations and hyperelliptic equations -- Diophantine equations in more than two variables.
"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In particular, Thue equations, norm form equations and S-unit equations, with emphasis on recent explicit bounds on the number of solutions, are included. The book will be useful for graduate students and researchers." (L'Enseignement Mathematique) "The rich Bibliography includes more than hundred references. The book is easy to read, it may be a useful piece of reading not only for experts but for students as well." Acta Scientiarum Mathematicarum.
9783540473749
10.1007/BFb0098246 doi
Number theory.
Ecology.
Geography.
Number Theory.
Geoecology/Natural Processes.
Earth Sciences, general.
QA241-247.5
512.7
Diophantine Approximations and Diophantine Equations [electronic resource] / by Wolfgang M. Schmidt. - VIII, 224 p. online resource. - Lecture Notes in Mathematics, 1467 0075-8434 ; . - Lecture Notes in Mathematics, 1467 .
Siegel’s lemma and heights -- Diophantine approximation -- The thue equation -- S-unit equations and hyperelliptic equations -- Diophantine equations in more than two variables.
"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In particular, Thue equations, norm form equations and S-unit equations, with emphasis on recent explicit bounds on the number of solutions, are included. The book will be useful for graduate students and researchers." (L'Enseignement Mathematique) "The rich Bibliography includes more than hundred references. The book is easy to read, it may be a useful piece of reading not only for experts but for students as well." Acta Scientiarum Mathematicarum.
9783540473749
10.1007/BFb0098246 doi
Number theory.
Ecology.
Geography.
Number Theory.
Geoecology/Natural Processes.
Earth Sciences, general.
QA241-247.5
512.7