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Criteria for irrationality of generalized Euler's constant

✍ Scribed by T Hessami Pilehrood; Kh Hessami Pilehrood

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
257 KB
Volume
108
Category
Article
ISSN
0022-314X

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✦ Synopsis

We generalize Sondow's (ir)rationality criteria for Euler's constant and give necessary and sufficient conditions for irrationality of generalized Euler's constant g a ; as well as obtain new asymptotic formulas for computing g a : The proof is based on constructing linear forms in 1; g a and logarithms of rational numbers.

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