Author | Lang, Serge. author |
---|---|
Title | Introduction to Modular Forms [electronic resource] / by Serge Lang |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1987 |
Connect to | http://dx.doi.org/10.1007/978-3-642-51447-0 |
Descript | IX, 265 p. online resource |
I. Classical Theory -- I. Modular Forms -- II. Hecke Operators -- III. Petersson Scalar Product -- Appendix by D. Zagier. The Eichler-Selberg Trace Formula on SL2(Z) -- II. Periods of Cusp Forms -- IV. Modular Symbols -- V. Coefficients and Periods of Cusp Forms on SL2(Z) -- VI. The Eichler-Shimura Isomorphism on SL2(Z) -- III. Modular Forms for Congruence Subgroups -- VII. Higher Levels -- VIII. Atkin-Lehner Theory -- IX. The Dedekind Formalism -- IV. Congruence Properties and Galois Representations -- X. Congruences and Reduction mod p -- XI. Galois Representations -- V. p-Adic Distributions -- XII. General Distributions -- XIII. Bernoulli Numbers and Polynomials -- XIV. The Complex L-Functions -- XV. The Hecke-Eisenstein and Klein Forms