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Zeta Functions of Groups and Rings - 9783540747017

Un libro in lingua di Sautoy Marcus Du Luke Woodward edito da Springer Verlag, 2008

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Zeta functions have been a powerful tool in mathematics over the last two centuries. This book considers a new class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. It explores the analytic behavior of these functions together with an investigation of functional equations. The book examines many important examples of zeta functions, providing an important database of explicit examples and methods for calculation.

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