IJPAM: Volume 85, No. 1 (2013)
SUMS OF THE RATIONAL POWERS OF ROOTS
OF THE POLYNOMIALS
OF THE POLYNOMIALS
Roman Wituła1, Edyta Hetmaniok2,
Damian Słota3, Natalia Gawrońska4
1,2,3,4Institute of Mathematics
Silesian University of Technology
Kaszubska 23, 44-100 Gliwice, POLAND
Damian Słota3, Natalia Gawrońska4
1,2,3,4Institute of Mathematics
Silesian University of Technology
Kaszubska 23, 44-100 Gliwice, POLAND
Abstract. In this paper the completely elementary methods of generating the
trigonometric identities are presented. These methods are based on
the discussion of sums of the rational powers of roots of the
polynomials. Among investigated identities there are proven the
identities connected with roots of Kepler's polynomial and
generalizations of the known Ramanujan's equalities.
Received: March 13, 3013
AMS Subject Classification: 11B83, 11Y55
Key Words and Phrases: sums of the roots, Ramanujan's formulae
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DOI: 10.12732/ijpam.v85i1.15 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 85
Issue: 1
