%0 Journal Article %T Effectivity of Arakelov divisors and the theta divisor of a number field %A Gerard van der Geer %A Ren¨¦ Schoof %J Mathematics %D 1998 %I arXiv %X We introduce the notion of an effective Arakelov divisor for a number field and the arithmetical analogue of the dimension of the space of sections of a line bundle. We study the analogue of the theta divisor for a number field. %U http://arxiv.org/abs/math/9802121v3