# 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