1 The classical Möbius function 1.1 Arithmetic functions and Dirichlet series. Write N (meant to encode some arithmetic feature of each number n). To each arithmetic function f one associates a Dirichlet series F (s) = n≥1 f (n) n s thought of as a function defined on some open set of the complex plane. Analytic number theory is to a large extent the study of arithmetic functions in terms of th...

The set of points obtained by projecting a quadric from a point off the quadric on a hyperplane has many interesting properties. Hirschfeld and Thas [12, 13] provided a characterization of this set, only by means of its intersection pattern with lines. However, their result only holds when the finite field has even order. Here, we extend their result to finite fields of odd order.

One of the top priorities of the Missouri Department of Health and Senior Services (DHSS) is to ensure Missourians are healthy, safe and informed. When individuals and communities have personal and difficult health concerns they often seek our assistance to find answers. We take this responsibility very seriously. To accomplish this, DHSS translates data and evidence-based practices into practi...

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