Explicit formula for the fundamental class of functions (z, Z̃, Φ) introduced by J. Jorgenson and S. Lang, is given a new form valid for a more general fudge factor Φ. This is done for a larger class ...

Concretely, we prove explicit formulas of partial sums of the Möbius function in arithmetic progressions and partial sums of the Möbius functions on an Abelian number field. In addition, to obtain ...

Minqiang Li, Fabio Mercurio and Serge Resnick derive an efficient closed-form approximation for the moment-generating function of the integral of a mean-reverting stochastic process, which follows a ...