Title of article
Criteria for irrationality of generalized Eulerʹs constant
Author/Authors
T. Hessami Pilehrood، نويسنده , , Kh. Hessami Pilehrood، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
17
From page
169
To page
185
Abstract
We generalize Sondowʹs (ir)rationality criteria for Eulerʹs constant and give necessary and sufficient conditions for irrationality of generalized Eulerʹs constant γα, as well as obtain new asymptotic formulas for computing γα. The proof is based on constructing linear forms in 1,γα and logarithms of rational numbers.
Keywords
Double integral , Laplace method , Generalizedharmon ic number , Linear form , GeneralizedEuler’s constant , Irrationality
Journal title
Journal of Number Theory
Serial Year
2004
Journal title
Journal of Number Theory
Record number
715631
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