An Introduction to the Theory of Local Zeta Functions

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American Mathematical Society, 2000 - Mathematics - 232 pages
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An introductory presentation to the theory of local zeta functions. As distributions, and mostly in the archimedian case, local zeta functions are called complex powers. The volume contains major results on complex powers by Atiyah, Bernstein, I.M. Gelfand, and S.I. Gelfand. Also included are related results by Sato. The section on p-adic local zeta functions presents Serre's structure theorem, a rationality theorem and many examples by the author. It concludes with theorems by Denef and Meuser.

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