Diophantine approximation of the exponential function and Sondowʼs Conjecture
نویسندگان
چکیده
منابع مشابه
Diophantine Approximation of the Exponential Function and Sondow’s Conjecture
We begin by examining a hitherto unexamined partial manuscript by Ramanujan on the diophantine approximation of e published with his lost notebook. This diophantine approximation is then used to study the problem of how often the partial Taylor series sums of e coincide with the convergents of the (simple) continued fraction of e. We then develop a p-adic analysis of the denominators of the con...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2013
ISSN: 0001-8708
DOI: 10.1016/j.aim.2013.08.010