Transcendence

نویسندگان

چکیده

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منابع مشابه

Transcendence in Positive Characteristic

1. Table of symbols 2 2. Transcendence for Drinfeld modules 2 2.1. Wade’s results 2 2.2. Drinfeld modules 3 2.3. The Weierstraß-Drinfeld correspondence 3 2.4. Carlitz 5 2.5. Yu’s work 6 3. t-Modules 7 3.1. Definitions 7 3.2. Yu’s sub-t-module theorem 8 3.3. Yu’s version of Baker’s theorem 8 3.4. Proof of Baker-Yu 8 3.5. Quasi-periodic functions 9 3.6. Derivatives and linear independence 12 3.7....

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Taylor & Francis makes every effort to ensure the accuracy of all the information (the “Content”) contained in the publications on our platform. However, Taylor & Francis, our agents, and our licensors make no representations or warranties whatsoever as to the accuracy, completeness, or suitability for any purpose of the Content. Any opinions and views expressed in this publication are the opin...

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Transcendence and healing.

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Is it possible to distinguish algebraic from transcendental real numbers by considering the b-ary expansion in some base b 2? In 1950, É. Borel suggested that the answer is no and that for any real irrational algebraic number x and for any base g 2, the g-ary expansion of x should satisfy some of the laws that are shared by almost all numbers. For instance, the frequency where a given finite se...

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The purpose of this expository article is to explain diverse new tools that automata theory provides to tackle transcendence problems in function field arithmetic. We collect and explain various useful results scattered in computer science, formal languages, logic literature and explain how they can be fruitfully used in number theory, dealing with transcendence, refined transcendence and class...

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ژورنال

عنوان ژورنال: Quarterly Review of Film and Video

سال: 2019

ISSN: 1050-9208,1543-5326

DOI: 10.1080/10509208.2019.1551005