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Transcendental values of class groupL-functions

โœ Scribed by M. Ram Murty; V. Kumar Murty


Book ID
105873836
Publisher
Springer
Year
2010
Tongue
English
Weight
259 KB
Volume
351
Category
Article
ISSN
0025-5831

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Let ฯˆ(x) denote the digamma function, that is, the logarithmic derivative of Euler's -function. Let q be a positive integer greater than 1 and ฮณ denote Euler's constant. We show that all the numbers ฯˆ(a/q) + ฮณ, (a, q) = 1, 1 a q, are transcendental. We also prove that at most one of the numbers ฮณ, ฯˆ

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