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Transcendence of Generalized Euler Constants

M. Ram Murty and Anastasia Zaytseva
The American Mathematical Monthly
Vol. 120, No. 1 (January 2013), pp. 48-54
DOI: 10.4169/amer.math.monthly.120.01.048
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Page Count: 7
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Transcendence of Generalized Euler Constants
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Abstract We consider a class of analogues of Euler’s ᵞ constant and use Baker’s theory of linear forms in logarithms to study its arithmetic properties. In particular, we show that with at most one exception, all of these analogues are transcendental.

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