Capacity of the union of three intervals and genus two theta functions

Authors
Falliero, T Sebbar, A
Citation
T. Falliero et A. Sebbar, Capacity of the union of three intervals and genus two theta functions, CR AC S I, 328(9), 1999, pp. 763-766
Citations number
7
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
328
Issue
9
Year of publication
1999
Pages
763 - 766
Database
ISI
SICI code
0764-4442(19990501)328:9<763:COTUOT>2.0.ZU;2-Y
Abstract
We give a formula for the capacity of an union of three intervals. In the c ase of two intervals such a formula has been found by N.I. Achieser. The fo rmula proposed here uses genus two theta functions and we recover Achieser' s formula when we degenerate an interval or when there is a symmetry. (C) A cademie des Sciences/Elsevier, Paris.