Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595238 | Journal of Number Theory | 2007 | 21 Pages |
Abstract
Let ψ(x)ψ(x) denote the digamma function, that is, the logarithmic derivative of Euler's Γ-function. Let q be a positive integer greater than 1 and γ denote Euler's constant. We show that all the numbersψ(a/q)+γ,(a,q)=1,1⩽a⩽q, are transcendental. We also prove that at most one of the numbersγ,ψ(a/q),(a,q)=1,1⩽a⩽q, is algebraic.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
M. Ram Murty, N. Saradha,