Mathematical Physics

1001 Submissions

[3] viXra:1001.0044 [pdf] submitted on 28 Jan 2010

A 'Planck-like' Characterization of Exponential Function

Authors: Constantinos Ragazas
Comments: 8 pages

We derive a characterization of simple exponential functions that has the exact mathematical form to Planck's Formula for blackbody radiation in Quantum Physics.
Category: Mathematical Physics

[2] viXra:1001.0042 [pdf] replaced on 2012-03-11 09:16:42

Zeta Regularization Applied to the Problem of Riemann Hypothesis and the Calculation of Divergent Integrals

Authors: Jose Javier Garcia Moreta
Comments: 18 Pages.

ABSTRACT: In this paper we review some results of our previous papers involving Riemann Hypothesis in the sense of Operator theory (Hilbert-Polya approach) and the application of the negative values of the Zeta function  (1 s) to the divergent integrals 1 0 s x dx    and to the problem of defining a consistent product of distributions of the form ( ) ( ) m n D  x D  x , in this paper we present new results of how the sums over the non-trivial zeros of the zeta function h( )    can be related to the Mangoldt function 0 (x) assuming Riemann Hypothesis.Throughout the paper we will use the notation ( ) ( ) R s  s meaning that we use the zeta regularization for the divergent series 0 s n n    s>0 or s=0
Category: Mathematical Physics

[1] viXra:1001.0002 [pdf] submitted on 6 Jan 2010

Mathematical Model of Information

Authors: Elemér E Rosinger
Comments: 17 pages.

A simple and rather general mathematical model of the phenomenon of information is presented, followed by several examples and comments.
Category: Mathematical Physics