Autor:	Bertin, Marie-Jose, Feaver, Amy, Fuselier, Jenny, Lalin, Matilde, Manes, Michelle
Rok vydání:	2012
Předmět:	Mathematics - Number Theory Primary 11R06 Secondary 11R09 14J27 14J28
Druh dokumentu:	Working Paper
Popis:	We study the Mahler measure of the three-variable Laurent polynomial x + 1/x + y + 1/y + z + 1/z - k where k is a parameter. The zeros of this polynomial define (after desingularization) a family of K3-surfaces. In favorable cases, the K3-surface has Picard number 20, and the Mahler measure is related to its L-function. This was first studied by Marie-Jose Bertin. In this work, we prove several new formulas, extending the earlier work of Bertin. Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1208.6240 Zobrazit plný text záznamu View this record from Arxiv