{"product_id":"9781470414191","title":"Brandt Matrices and Theta Series over Global Function Fields","description":"The aim of this article is to give a complete account of the Eichler-Brandt theory over function fields and the basis problem for Drinfeld type automorphic forms. Given arbitrary function field $k$ together with a fixed place $\\infty$, the authors construct a family of theta series from the norm forms of ``definite'' quaternion algebras, and establish an explicit Hecke-module homomorphism from the Picard group of an associated definite Shimura curve to a space of Drinfeld type automorphic forms. The ``compatibility'' of these homomorphisms with different square-free levels is also examined. These Hecke-equivariant maps lead to a nice description of the subspace generated by the authors' theta series, and thereby contributes to the so-called basis problem.Restricting the norm forms to pure quaternions, the authors obtain another family of theta series which are automorphic functions on the metaplectic group, and this results in a Shintani-type correspondence between Drinfeld type forms and metaplectic forms.","brand":"Chih-Yun Chuang","offers":[{"title":"Default Title","offer_id":46776501240126,"sku":"9781470414191","price":0.0,"currency_code":"ZAR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4357\/7662\/products\/9781470414191_e5fb8a45-7843-4429-9763-b5752173ffa8.jpg?v=1707476968","url":"https:\/\/exclusivebooks.co.za\/products\/9781470414191","provider":"Exclusive Books Online","version":"1.0","type":"link"}