Arithmetical Aspects of the Large Sieve Inequality

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This book is an elaboration of a series of lectures given at the Harish-Chandra Research Institute. The reader will be taken through a journey on the arithmetical sides of the large sieve inequality when applied to the Farey dissection. This will reveal connections between this inequality, the Selberg sieve and other less used notions like pseudo-characters and the $\Lambda_Q$-function, as well as extend these theories. One of the leading themes of these notes is the notion of so-called\emph{local models} that throws a ...

Arithmetical Aspects of the Large Sieve Inequality 2009, Hindustan Book Agency, New Delhi

ISBN-13: 9788185931906

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