Number Theory

   

Analysis of the Matrix Xjk=[x(j,k)] ∈C Where X(j,k)=δ+ω(α+βj)^φk

Authors: Pedro Caceres

The function x(j,k)=δ+ω(α+βj)^φk in C→C is a generalization of the power function y(α)=α^k in R→R and the exponential function y(k)=α^k in R→R. In this paper we are going to calculate the values of infinite and partial sums and products involving elements of the matrix Xjk=[x(j,k)]∈C As a result, several new representations will be made for some infinite series, including the Riemann Zeta Function in C.

Comments: 56 Pages.

Download: PDF

Submission history

[v1] 2018-02-22 00:31:26

Unique-IP document downloads: 21 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus