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Pólya's Shire Theorem for Automorphic Functions

✍ Scribed by Matthias Weiss

Book ID: 111554269
Publisher: Springer
Year: 2003
Tongue: English
Weight: 133 KB
Volume: 100
Category: Article
ISSN: 0046-5755
DOI: 10.1023/a:1025855513977

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In his paper [l] P6lya defines the following function P, mapping the interval [0, I] onto a right triangle T. Let t be any number in the unit interval; expand it into a binary fraction: t = .d,d, ... The n-th digit d,(t) of t is either 0 or 1. For each t we assign a sequence of nested triangles T