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Recurrent sequences and the measure of irrationality of values of elliptic integrals

✍ Scribed by V. V. Zudilin

Publisher
SP MAIK Nauka/Interperiodica
Year
1997
Tongue
English
Weight
264 KB
Volume
61
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES

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The aim of this work is to obtain the so-called standard lemmas on irrationality bases using the principles of Chudnovsky and then apply them to obtain conditional irrationality measures for values of the digamma function.

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The recurrence quotient is a real number associated to any symbolic sequence. In the case of Sturmian sequences, Morse and Hedlund proved that the smallest possible value is (5 + &)/2. We study here the structure of the set of values taken by the recurrence quotient for a Sturmian sequence.