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New Frontiers in Number Theory and Applications

Trends in Mathematics

This contributed volume presents recent advances as well as new directions in number theory and its applications. Algebraic and analytic number theory are the main focus with chapters showing how these ar…

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Claus Sorensen

From Classical L-Functions to Modern Reciprocity Laws

Graduate Texts in Mathematics - Band 307

The distinctive compilation of topics in this text provides readers with a smooth and leisurely transition from basic number theory to graduate topics courses on the Langlands program. It is a unique and …

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Nicholas M Katz, Pham Huu Tiep

Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups

An examination of some of the remarkable connections between group theory and arithmetic algebraic geometry over finite fieldsExponential sums have been of great interest ever since Gauss, and their impor…

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Nicholas M. Katz, Pham Huu Tiep

Exponential Sums, Hypergeometric Sheaves, and Monodromy Groups

Annals of Mathematics Studies

An examination of some of the remarkable connections between group theory and arithmetic algebraic geometry over finite fieldsExponential sums have been of great interest ever since Gauss, and their impor…

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