By Henri Cohen

This e-book bargains with numerous elements of what's now known as "explicit quantity theory." The imperative topic is the answer of Diophantine equations, i.e., equations or structures of polynomial equations which needs to be solved in integers, rational numbers or extra regularly in algebraic numbers. This topic, specifically, is the principal motivation for the fashionable thought of mathematics algebraic geometry. during this textual content, this is often thought of via 3 of its most elementary elements. The neighborhood element, worldwide point, and the 3rd point is the speculation of zeta and L-functions. This final point may be regarded as a unifying subject matter for the entire subject.

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