Results about fractional derivatives of Zeta functions

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
Ricky E. Farr (Creator)
The University of North Carolina at Greensboro (UNCG )
Web Site:
Sebastian Pauli

Abstract: Perhaps the most important function in all mathematics is the Riemann Zeta function. For almost 150 years Mathematicians have tried to understand the behavior of the function’s complex zeros. Our main aim is to investigate properties of the Riemann Zeta Function and Hurwitz Zeta Functions, which generalize the Riemann Zeta Function. The main goal of this work is to approach this problem from a traditional and computational approach. We aim to investigate derivatives of Zeta functions by exploring the behavior of its fractional derivatives and its derivatives, which has not been sufficiently examined yet.

Additional Information

Language: English
Date: 2017
Computational Analysis, Derivatives, Fractional Derivatives, Hurwitz Zeta Function, Number Theory, Riemann Zeta Function
Functions, Zeta
Fractional calculus
Number theory

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