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Theta series and function field analogue of Gross formula

Theta series and function field analogue of Gross formula

Let k = F_q(t) , with q odd. In this article we introduce «definite» (with respect to the infinite place of k ) Shimura curves over k , and establish Hecke module isomorphisms between their Picard groups and the spaces of Drinfeld type «new» forms of corresponding level. An important …