Arran Fernandez
Published 2018-04-21Version 1
We derive and prove a new formulation of the Lerch zeta function as a fractional derivative of an elementary function. We demonstrate how this formulation interacts very naturally with basic known properties of Lerch zeta, and use the functional equation to obtain a second formulation in terms of fractional derivatives.
Comments: 10 pages; peer-reviewed and accepted in Banach Center Publications as part of proceedings of Number Theory Week 2017
Analytic continuation of the Lerch zeta function
Multiple Solutions of Riemann-Type of Functional Equations
On the functional equation $f^n(z)+g^n(z)=e^{αz+β}$
![QR code for arXiv:1804.07936 [math.CV]](http://oss.arxitics.com/images/favicon.svg)