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

By David Masser

This unified account of assorted features of a robust classical strategy, effortless to appreciate in its least difficult varieties, is illustrated through purposes in numerous parts of quantity conception. in addition to together with diophantine approximation and transcendence, which have been ordinarily liable for its invention, the writer locations the tactic in a broader context by way of exploring its software in different components, akin 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' style, the place key rules are brought independently. each one program is the main easy major instance of its variety and looks with distinct references to next advancements, making it obtainable to complicated undergraduates in addition to postgraduate scholars in quantity concept or similar components. It offers over seven-hundred workouts either guiding and hard, whereas the huge array of purposes may still curiosity execs in fields from quantity concept to algebraic geometry.

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