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A New Type of Transcendental Function

โœ Scribed by Tretkoff, M.

Book ID
120094386
Publisher
Oxford University Press
Year
1972
Tongue
English
Weight
102 KB
Volume
4
Category
Article
ISSN
0024-6093

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Transcendental values of the digamma fun
Transcendental values of the digamma function
โœ M. Ram Murty; N. Saradha ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 168 KB

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