The Fourier-Analytic Proof of Quadratic Reciprocity 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

☆☆☆☆☆
简体网页||繁体网页

Michael C. Berg 作者

Wiley-Interscience

译者

2000-2-18 出版日期

128 页数

USD 169.00 价格

Hardcover

丛书系列

9780471358305 图书编码

The Fourier-Analytic Proof of Quadratic Reciprocity 在线电子书图书标签: 解析数论7

喜欢 The Fourier-Analytic Proof of Quadratic Reciprocity 在线电子书的读者还喜欢

下载链接在页面底部

点击这里下载

想要找书就要到图书目录大全

book.wenda123.org

立刻按 ctrl+D收藏本页

你会得到大惊喜!!

发表于2024-12-29

facebook linkedin mastodon messenger pinterest reddit telegram twitter viber vkontakte whatsapp 复制链接

The Fourier-Analytic Proof of Quadratic Reciprocity 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

The Fourier-Analytic Proof of Quadratic Reciprocity 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

The Fourier-Analytic Proof of Quadratic Reciprocity 在线电子书用户评价

评分☆☆☆☆☆

The Fourier-Analytic Proof of Quadratic Reciprocity 在线电子书著者简介

The Fourier-Analytic Proof of Quadratic Reciprocity 在线电子书图书目录

The Fourier-Analytic Proof of Quadratic Reciprocity 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

The Fourier-Analytic Proof of Quadratic Reciprocity 在线电子书图书描述

A unique synthesis of the three existing Fourier-analytic treatments of quadratic reciprocity.

The relative quadratic case was first settled by Hecke in 1923, then recast by Weil in 1964 into the language of unitary group representations. The analytic proof of the general n-th order case is still an open problem today, going back to the end of Hecke's famous treatise of 1923. The Fourier-Analytic Proof of Quadratic Reciprocity provides number theorists interested in analytic methods applied to reciprocity laws with a unique opportunity to explore the works of Hecke, Weil, and Kubota.

This work brings together for the first time in a single volume the three existing formulations of the Fourier-analytic proof of quadratic reciprocity. It shows how Weil's groundbreaking representation-theoretic treatment is in fact equivalent to Hecke's classical approach, then goes a step further, presenting Kubota's algebraic reformulation of the Hecke-Weil proof. Extensive commutative diagrams for comparing the Weil and Kubota architectures are also featured.

The author clearly demonstrates the value of the analytic approach, incorporating some of the most powerful tools of modern number theory, including ad?les, metaplectric groups, and representations. Finally, he points out that the critical common factor among the three proofs is Poisson summation, whose generalization may ultimately provide the resolution for Hecke's open problem.

The Fourier-Analytic Proof of Quadratic Reciprocity 在线电子书下载 mobi epub pdf txt 在线电子书下载

想要找书就要到图书目录大全

book.wenda123.org

立刻按 ctrl+D收藏本页

你会得到大惊喜!!