Functions and Analysis

1803 Submissions

[2] viXra:1803.0498 [pdf] submitted on 2018-03-22 20:24:32

On the Non-Trivial Zeros of the Riemann Zeta Function

Authors: John Herapath, Quincy Howard Xavier, Carl Wigert
Comments: 1 Page.

In this document, we present several important insights concerning the Riemann Zeta function and the locations of its zeros. More importantly, we prove that we should be awarded the $1 000 000 prize for proving or disproving the Riemann hypothesis
Category: Functions and Analysis

[1] viXra:1803.0001 [pdf] replaced on 2018-03-05 04:58:02

Expansion Into Bernoulli Polynomials Based on Matching Definite Integrals of Derivatives

Authors: Andrej Liptaj
Comments: 8 Pages.

A method of function expansion is presented. It is based on matching the definite integrals of the derivatives of the function to be approximated by a series of (scaled) Bernoulli polynomials. The method is fully integral-based, easy to construct and presumably slightly outperforms Taylor series in the convergence rate. Text presents already known results.
Category: Functions and Analysis