Capacity of a union of three intervals and theta functions of genus 2

Authors
Falliero, T Sebbar, A
Citation
T. Falliero et A. Sebbar, Capacity of a union of three intervals and theta functions of genus 2, J MATH P A, 80(4), 2001, pp. 409-443
Citations number
33
Categorie Soggetti
Mathematics
Journal title
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
ISSN journal
00217824 → ACNP
Volume
80
Issue
4
Year of publication
2001
Pages
409 - 443
Database
ISI
SICI code
0021-7824(200105)80:4<409:COAUOT>2.0.ZU;2-Z
Abstract
give a formula for the capacity of an union of three intervals. In the case of two intervals such a formula has been found by N.I. Achieser in 1930. T he formula proposed here uses genus two theta functions and we recover Achi eser's formula when we degenerate an interval or when there is a symmetry. (C) 2001 Editions scientifiques et medicales Elsevier SAS.