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MAHLER MEASURE AND THE WZ ALGORITHM.

Authors :
GUILLERA, JESÚS
ROGERS, MATHEW
Source :
Proceedings of the American Mathematical Society. Jul2015, Vol. 143 Issue 7, p2873-2886. 14p.
Publication Year :
2015

Abstract

We use the Wilf-Zeilberger method to prove identities between Mahler measures of polynomials. In particular, we offer a new proof of a formula due to Lal'ın, and we show how to translate the identity into a formula involving elliptic dilogarithms. This work settles a challenge problem proposed by Kontsevich and Zagier in their paper, "Periods". [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*K-theory
*POLYNOMIALS
*LAURENT series
*MEROMORPHIC functions
*ALGEBRAIC topology
*ELLIPTIC curves

Details

Language :
English
ISSN :
00029939
Volume :
143
Issue :
7
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
102164916
Full Text :
https://doi.org/10.1090/S0002-9939-2015-12240-X
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