q-Hypergeometric Functions and Irrationality Measures
Merilä, Ville
Bollettino dell'Unione Matematica Italiana, Tome 3 (2010), p. 137-148 / Harvested from Biblioteca Digitale Italiana di Matematica
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We present a q-analogue of the Rhin-Viola method for the analysis of Φ-adic valuations of the q-gamma factors occurring in the basic Euler-Pochhammer integral representation of the Heine series 2⁢ϕ1. Moreover, we show that this approach yields the best known irrationality measures for logq⁡(z), logq⁡(2) and ζq⁢(1).

Publié le : 2010-02-01
@article{BUMI_2010_9_3_1_137_0,
     author = {Ville Meril\"a},
     title = {q-Hypergeometric Functions and Irrationality Measures},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {3},
     year = {2010},
     pages = {137-148},
     zbl = {1208.11085},
     mrnumber = {2605916},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2010_9_3_1_137_0}
}

Merilä, Ville. q-Hypergeometric Functions and Irrationality Measures. Bollettino dell'Unione Matematica Italiana, Tome 3 (2010) pp. 137-148. http://gdmltest.u-ga.fr/item/BUMI_2010_9_3_1_137_0/

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