Density and O-density of Beurling generalized integers
نویسندگان
چکیده
منابع مشابه
The Beurling-malliavin Density of a Random Sequence
A formula is given for the completeness radius of a random exponential system {tleiξnt}pn−1 l=0,n∈Z in terms of the probability measures of ξn. The purpose of this note is to formulate a probabilistic version of the celebrated Beurling-Malliavin theorem on the completeness radius of a sequence of complex exponentials [1]. First, to state the Beurling-Malliavin theorem, let Λ = {λn}n∈Z be a sequ...
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Introduction 1. Expressing A(x) as a Sum 2. Trivial Bounds for Ak(x) 3. Lower Bound for A(x) 4. Upper Bounds for Ak(x) 5. Mean Values of f(n) and Upper Bounds for Ak(x) 6. Upper Bounds for the Euler Products V k(r) 7. Numerical Results 8. Other Experimental Results References We say that an integer n is abundant if the sum of the divisors of n is at least 2n. It has been known [Wall 1972] that ...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1988
ISSN: 0022-314X
DOI: 10.1016/0022-314x(88)90012-1