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Showing 1 to 4 of 4 for “"Probabilistic number theory"”.
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Topics in Multiplicative and Probabilistic Number Theory
A heuristic in analytic number theory stipulates that sets of positive integers cannot simultaneously be additively and multiplicatively structured. The practical verification of this heuristic is the source of a great number of difficult problems, including the well-known Hardy-Littlewood tuples …
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Topics in Analytic, Combinatorial and Probabilistic Number Theory
In the last chapter we consider the problem of determining how large an integer M should be so that almost every subset of {l, ..., N} of size M contains at least one arithmetic progression of length k. We also investigate the length of the longest arithmetic progression in a random subset of …
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Some topics in analytic and probabilistic number theory
… studies four problems in analytic and probabilistic number theory. Two of the problems are about a certain random number theoretic object, namely a random multiplicative function. The other two problems are about smooth numbers (i.e. numbers only having small prime factors), both in …
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Some Sampling Designs and Estimation Problems
… continuous universe.</p> <p>In concert with the theory initiated by professor Douglas Robson (personal communication) and later presented by Cordy (1993), we consider design-based variance estimation for probability sampling from a continuous and spatially distributed universe. Using this theory …