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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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Notes on contributors
M. Ram Murty
M. RAM MURTY obtained his Ph.D. from MIT in 1980, under the supervision of Harold Stark. After postdoctoral fellowships at the Institute for Advanced Study in Princeton and the Tata Institute for Fundamental Research in Mumbai, he joined McGill University in 1982. In 1996, he moved to Queen's University, where he holds the Queen's Research Chair in Mathematics and Philosophy. He is Fellow of the Royal Society of Canada and the Indian Science Academy.
Anastasia Zaytseva
ANASTASIA ZAYTSEVA graduated from Moscow State University in 2009. Currently, she is doing her doctoral studies at Queen's University.