Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897074 | Journal of Number Theory | 2018 | 45 Pages |
Abstract
The Hurwitz numbers HËn occur in the Laurent expansion about the origin of a certain Weierstrass â function for a square lattice, and are highly analogous to the Bernoulli numbers. An integral representation of the Laurent coefficients about the origin for general â functions, and for these numbers in particular, is presented. As a Corollary, the asymptotic form of the Hurwitz numbers is determined. In addition, a series representation of the Hurwitz numbers is given, as well as a new recurrence. Other results concern the Matter numbers of the equianharmonic case of the â function.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mark W. Coffey,