Surprising Sinc Sums and Integrals

Baillie et al intend to show that a variety of trigonometric sums have unexpected closed forms by relating them to cognate integrals. They hope to offer a good advertisement for the possibilities of experimental mathematics, as well as providing both some entertaining examples for the classroom and...

Full description

Saved in:
Bibliographic Details
Published in:The American mathematical monthly 2008-12, Vol.115 (10), p.888-901
Main Authors: Baillie, Robert, Borwein, David, Borwein, Jonathan M.
Format: Article
Language:English
Subjects:
Calculus
Fourier analysis
Fourier transformations
Integers
Mathematical analysis
Mathematical functions
Mathematical integrals
Mathematical intervals
Mathematical theorems
Polynomials
Sine function
Trigonometry
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Baillie et al intend to show that a variety of trigonometric sums have unexpected closed forms by relating them to cognate integrals. They hope to offer a good advertisement for the possibilities of experimental mathematics, as well as providing both some entertaining examples for the classroom and a caution against over-extrapolating from seemingly compelling initial patterns.
ISSN:0002-9890
1930-0972
DOI:10.1080/00029890.2008.11920606