David Masser's Auxiliary Polynomials in Number Theory (Cambridge Tracts in PDF

By David Masser

This unified account of assorted elements of a strong classical procedure, effortless to appreciate in its least difficult types, is illustrated through functions in different components of quantity conception. in addition to together with diophantine approximation and transcendence, which have been commonly liable for its invention, the writer areas the tactic in a broader context by means of exploring its program in different parts, similar to exponential sums and counting difficulties in either finite fields and the sphere of rationals. in the course of the e-book, the tactic is defined in a 'molecular' model, the place key principles are brought independently. each one software is the main undemanding major instance of its type and looks with certain references to next advancements, making it available to complex undergraduates in addition to postgraduate scholars in quantity idea or comparable parts. It presents over seven-hundred workouts either guiding and tough, whereas the huge array of purposes should still curiosity execs in fields from quantity concept to algebraic geometry.

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Auxiliary Polynomials in Number Theory (Cambridge Tracts in Mathematics) by David Masser

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