p-ADIC L-FUNCTIONS: THE KNOWN AND UNKNOWN
نویسنده
چکیده
1. Iwasawa functions, p-adic measures, and distributions 1 1.1. Some preliminaries 1 1.2. Iwasawa functions and the Iwasawa algebra 3 1.3. Iwasawa functions and interpolation 4 1.4. p-adic distributions and p-adic measures 8 2. The p-adic L-functions of Dirichlet characters 10 2.1. Preliminaries 10 2.2. Iwasawa’s construction 12 3. The p-adic L-functions of modular forms 15 3.1. Preliminaries 15 3.2. Construction 16 4. Conjectural p-adic L-functions of motives 18 4.1. Deligne’s conjecture of special values of L-functions 18 4.2. Conjectural p-adic L-function 20
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