Name
Title | ||
|---|---|---|
Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function. |
Abstract | ||
|---|---|---|
The Lindelof-Wirtinger expansion of the Lerch transcendent function implies, as a limiting case, Hurwitz's formula for the eponymous zeta function. A generalized form of Mobius inversion applies to the Lindelof-Wirtinger expansion and also implies an inversion formula for the Hurwitz zeta function as a limiting case. The inverted formulas involve the dynamical system of rotations of the circle and yield an arithmetical functional equation. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1090/S0025-5718-2014-02864-0 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
Lerch transcendent function,Mobius inversion,Fourier series | Mathematical analysis,Fourier series,Mobius inversion,Mathematics | Journal |
Volume | Issue | ISSN |
84 | 292 | 0025-5718 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Luis M. Navas | 1 | 9 | 3.39 |
| Francisco Ruiz | 2 | 301 | 29.12 |
| JUAN LUIS VARONA | 3 | 9 | 4.63 |