| Suggestions to the reader | p. xi |
| Algebraic number theory | p. 1 |
| Linear algebra over rings | p. 1 |
| Algebraic number fields | p. 5 |
| p-adic numbers | p. 17 |
| Classical L-functions and Eisenstein series | p. 25 |
| Euler's method | p. 25 |
| Analytic continuation and the functional equation | p. 33 |
| Hurwitz and Dirichlet L-functions | p. 40 |
| Shintani L-functions | p. 47 |
| L-functions of real quadratic field | p. 54 |
| L-functions of imaginary quadratic fields | p. 63 |
| Hecke L-functions of number fields | p. 66 |
| p-adic Hecke L-functions | p. 73 |
| Interpolation series | p. 73 |
| Interpolation series in p-adic fields | p. 75 |
| p-adic measures on Z[subscript p] | p. 78 |
| The p-adic measure of the Riemann zeta function | p. 80 |
| p-adic Dirichlet L-functions | p. 82 |
| Group schemes and formal group schemes | p. 89 |
| Toroidal formal groups and p-adic measures | p. 96 |
| p-adic Shintani L-functions of totally real fields | p. 99 |
| p-adic Hecke L-functions of totally real fields | p. 102 |
| Homological interpretation | p. 107 |
| Cohomology groups on G[subscript m](C) | p. 107 |
| Cohomological interpretation of Dirichlet L-values | p. 117 |
| p-adic measures and locally constant functions | p. 118 |
| Another construction of p-adic Dirichlet L-functions | p. 120 |
| Elliptic modular forms and their L-functions | p. 125 |
| Classical Eisenstein series of GL(2)[subscript /Q] | p. 125 |
| Rationality of modular forms | p. 131 |
| Hecke operators | p. 139 |
| The Petersson inner product and the Rankin product | p. 150 |
| Standard L-functions of holomorphic modular forms | p. 157 |
| Modular forms and cohomology groups | p. 160 |
| Cohomology of modular groups | p. 160 |
| Eichler-Shimura isomorphisms | p. 167 |
| Hecke operators on cohomology groups | p. 175 |
| Algebraicity theorem for standard L-functions of GL(2) | p. 186 |
| Mazur's p-adic Mellin transforms | p. 189 |
| Ordinary [Lambda]-adic forms, two variable p-adic Rankin products and Galois representations | p. 194 |
| p-Adic families of Eisenstein series | p. 195 |
| The projection to the ordinary part | p. 200 |
| Ordinary [Lambda]-adic forms | p. 208 |
| Two variable p-adic Rankin product | p. 221 |
| Ordinary Galois representations into GL[subscript 2](Z[subscript p X]) | p. 228 |
| Examples of [Lambda]-adic forms | p. 234 |
| Functional equations of Hecke L-functions | p. 239 |
| Adelic interpretation of algebraic number theory | p. 239 |
| Hecke characters as continuous idele characters | p. 245 |
| Self-duality of local fields | p. 249 |
| Haar measures and the Poisson summation formula | p. 253 |
| Adelic Haar measures | p. 257 |
| Functional equations of Hecke L-functions | p. 261 |
| Adelic Eisenstein series and Rankin products | p. 272 |
| Modular forms on GL[subscript 2](F[subscript A]) | p. 272 |
| Fourier expansion of Eisenstein series | p. 282 |
| Functional equation of Eisenstein series | p. 292 |
| Analytic continuation of Rankin products | p. 298 |
| Functional equations of Rankin products | p. 306 |
| Three variable p-adic Rankin products | p. 310 |
| Differential operators of Maass and Shimura | p. 310 |
| The algebraicity theorem of Rankin products | p. 317 |
| Two variable [Lambda]-adic Eisenstein series | p. 326 |
| Three variable p-adic Rankin products | p. 331 |
| Relation to two variable p-adic Rankin products | p. 339 |
| Concluding remarks | p. 343 |
| Summary of homology and cohomology theory | p. 345 |
| References | p. 365 |
| Answers to selected exercises | p. 371 |
| Index | p. 383 |
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