Volume no :7, Issue no: 1, March 2012

Journal of Algebra, Number Theory: Advances and Applications

ON STEPHAN'S CONJECTURES CONCERNING PASCAL TRIANGLE MODULO 2 AND THEIR POLYNOMIAL GENERALIZATION

Author's: VLADIMIR SHEVELEV
Pages: [11] - [29]
Received Date: March 26, 2012
Submitted by:

Abstract

We prove a series of Stephan’s conjectures concerning Pascal triangle modulo 2 and give a polynomial generalization.

Keywords

Pascal triangle, Stephan’s conjectures, Fermat numbers, orthogonality of integers, polynomial analogue of Euler identity for primes.