By Henri Cohen

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

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Number Theory: Volume II: Analytic and Modern Tools: 240 (Graduate Texts in Mathematics) by Henri Cohen

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