{"product_id":"introduction-to-non-abelian-class-field-theory-an-automorphic-forms-of-weight-1-and-2-dimensional-galois-representations-9789813142268","title":"Introduction To Non-abelian Class Field Theory,","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois representations. One of the outstanding problems in arithmetic is a generalization of class field theory to non-abelian Galois extension of number fields. In this volume, we discuss some relations between this problem and cusp forms of weight 1.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eHigher Reciprocity Laws; Hilbert Class Fields over Imaginary Quadratic Fields; Indefinite Modular Forms; Dimension Formulas in the Case of Weight 1; 2-Dimensional Galois Representations of Odd Type and Non-Dihedral Cusp Forms of Weight 1; Maass Cusp Forms of Eigenvalue 1\/4; Selberg's Eigenvalue Conjecture and the Ramanujan-Petersson Conjecture; Indefinite Theta Series; Hilbert Modular Forms of Weight 1; Appendix A: Some Dimension Formula and Traces of Hecke Operators for Cusp Forms of Weight 1;","brand":"World Scientific Publishing Co Pte Ltd","offers":[{"title":"Default Title","offer_id":51047336280407,"sku":"9789813142268","price":76.95,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9789813142268.jpg?v=1750971166","url":"https:\/\/bookcurl.com\/products\/introduction-to-non-abelian-class-field-theory-an-automorphic-forms-of-weight-1-and-2-dimensional-galois-representations-9789813142268","provider":"Book Curl","version":"1.0","type":"link"}