Jurusan Manajemen E-books

Algebraic Geometry

Download E-books Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180) (Annals of Mathematics Studies) PDF

By Nicholas M. Katz

Convolution and Equidistribution explores an enormous point of quantity theory--the thought of exponential sums over finite fields and their Mellin transforms--from a brand new, specific standpoint. The publication offers essentially very important effects and a plethora of examples, commencing up new instructions within the topic.

The finite-field Mellin remodel (of a functionality at the multiplicative staff of a finite box) is outlined via summing that functionality opposed to variable multiplicative characters. the fundamental query thought of within the booklet is how the values of the Mellin rework are allotted (in a probabilistic sense), in situations the place the enter functionality is certainly algebro-geometric. this query is responded through the book's major theorem, utilizing a mix of geometric, specific, and group-theoretic tools.

By supplying a brand new framework for learning Mellin transforms over finite fields, this publication opens up a brand new means for researchers to extra discover the subject.

Show description

Read Online or Download Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180) (Annals of Mathematics Studies) PDF

Similar Algebraic Geometry books

The Turban for the Crown: The Islamic Revolution in Iran (Studies in Middle Eastern History)

The Iranian revolution nonetheless baffles such a lot Western observers. Few thought of the increase of theocracy in a modernized nation attainable, and less idea it could end result from a well-liked revolution. acknowledged Amir Arjomand's The Turban for the Crown offers a considerate, painstakingly researched, and intelligible account of the turmoil in Iran which finds the significance of this singular occasion for our realizing of revolutions.

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of simple examples and strategies during this quarter. appropriate for self-study through a reader who is aware a bit commutative algebra and algebraic geometry already. David Eisenbud is a well known mathematician and present president of the yank Mathematical Society, in addition to a winning Springer writer.

A First Course in Modular Forms (Graduate Texts in Mathematics, Vol. 228)

This ebook introduces the speculation of modular kinds, from which all rational elliptic curves come up, with a watch towards the Modularity Theorem. dialogue covers elliptic curves as advanced tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner conception; Hecke eigenforms and their mathematics houses; the Jacobians of modular curves and the Abelian types linked to Hecke eigenforms.

Measure, Topology, and Fractal Geometry (Undergraduate Texts in Mathematics)

In line with a path given to gifted high-school scholars at Ohio college in 1988, this publication is basically a sophisticated undergraduate textbook in regards to the arithmetic of fractal geometry. It well bridges the distance among conventional books on topology/analysis and extra really good treatises on fractal geometry.

Additional resources for Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180) (Annals of Mathematics Studies)

Show sample text content

Rated 4.80 of 5 – based on 27 votes