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Showing 1 to 3 of 3 for “"Möbius function"”.
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A Combinatorially Explicit Relative Möbius Function on Affine Grassmannians and a Proposal for an Affine Infinite Symmetric Group
… determine the elements for which the Möbius function of the subposet of affine Grassmannians under the Bruhat order is non-zero by utilizing the quantum Bruhat graph of the classical Weyl group associated to W . Then we examine embedding stable and consistent statistics on the affine Weyl …
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Topics in number theory
… with topics in the theory of Riemann’s zeta function, but it also includes some contributions to prime number theory and the study of the Möbius function. New conditions are stated for the validity of the quasi-Riemann hypothesis RH (σ₀), that ζ(s) ≠ O for σ > σ₀. The orders and oscillatory …
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Topics in Multiplicative and Probabilistic Number Theory
… to the expectation that a generic multiplicative function behaves randomly on additively structured sets. In this thesis, we consider several problems involving the behaviour of multiplicative functions interacting with additively structured sets. First, we prove quantitative versions of mean …