By Henri Cohen

This ebook bargains with a number of facets of what's now known as "explicit quantity theory." The important 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 ordinarily in algebraic numbers. This subject, particularly, is the relevant motivation for the trendy idea of mathematics algebraic geometry. during this textual content, this can be thought of via 3 of its most simple elements. The neighborhood point, international element, and the 3rd element is the idea of zeta and L-functions. This final point could be regarded as a unifying subject for the entire subject.

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