Elliptic units for real quadratic fields
نویسندگان
چکیده
1. A review of the classical setting 2. Elliptic units for real quadratic fields 2.1. p-adic measures 2.2. Double integrals 2.3. Splitting a two-cocycle 2.4. The main conjecture 2.5. Modular symbols and Dedekind sums 2.6. Measures and the Bruhat-Tits tree 2.7. Indefinite integrals 2.8. The action of complex conjugation and of Up 3. Special values of zeta functions 3.1. The zeta function 3.2. Values at negative integers 3.3. The p-adic valuation 3.4. The Brumer-Stark conjecture 3.5. Connection with the Gross-Stark conjecture 4. A Kronecker limit formula 4.1. Measures associated to Eisenstein series 4.2. Construction of the p-adic L-function 4.3. An explicit splitting of a two-cocycle 4.4. Generalized Dedekind sums 4.5. Measures on Zp × Zp 4.6. A partial modular symbol of measures on Zp × Zp 4.7. From Zp × Zp to X 4.8. The measures μ and Γ-invariance
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