[7] viXra:1011.0077 [pdf] replaced on 15 Jan 2011
Authors: Li Zhou
Comments: 7 pages.
We discuss the logical fallacies in an article appeared in The
American Mathematical Monthly [6], and present the historical origin
and motivation of the simple proofs of the irrationality of π.
Category: Number Theory
[6] viXra:1011.0047 [pdf] submitted on 21 Mar 2010
Authors: Florentin Smarandache
Comments: 98 pages, in Romanian
New functions introduced in number theory by the author are presented, studied,
generalized some of them, and contributions of other mathematicians to these functions
are also showed up.
Category: Number Theory
[5] viXra:1011.0045 [pdf] submitted on 21 Mar 2010
Authors: Florentin Smarandache
Comments: 120 pages, in Romanian
Definitions, constructions, properties, and solved and unsolved problems on
Smarandache type functions are presented in this book.
Category: Number Theory
[4] viXra:1011.0031 [pdf] submitted on 20 Mar 2010
Authors: Florentin Smarandache
Comments: 1 pages
Demonstration by recurrence on m .
Category: Number Theory
[3] viXra:1011.0030 [pdf] submitted on 20 Mar 2010
Authors: Florentin Smarandache
Comments: 1 pages
If p is a real number...
Category: Number Theory
[2] viXra:1011.0029 [pdf] submitted on 20 Mar 2010
Authors: Florentin Smarandache
Comments: 2 pages
One generalizes the inequality of Hödler thanks to a reasoning by recurrence. As
particular cases, one obtains a generalization of the inequality of
Cauchy-Buniakovski-Scwartz, and some interesting applications.
Category: Number Theory
[1] viXra:1011.0027 [pdf] submitted on 20 Mar 2010
Authors: Florentin Smarandache
Comments: 2 pages
Let us consider the real numbers...
Category: Number Theory