While its roots reach back to the third century, diophantine analysis continues to be an extremely active and powerful area of number theory. Many diophantine problems have simple formulations, they can be extremely difficult to attack, and many open problems and conjectures remain.
Diophantine Analysis examines the theory of diophantine ap
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978-1-4200-5720-1 (9781420057201)
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Schweitzer Klassifikation
Introduction: basic principles. Classical approximation theorems. Continued fractions. The irrationality of zeta(3). Quadratic irrationals. The Pell equation. Factoring with continued fractions. Transcendental numbers. The theorem of Roth. The abc-conjecture. P-adic numbers. Hensel's lemma. The local-global principle.
