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Lectures on Modular Forms. (AM-48), Volume 48

Robert C. Gunning

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

New interest in modular forms of one complex variable has been caused chiefly by the work of Selberg and of Eichler. But there has been no introductory work covering the background of these developments. H. C. Gunning's book surveys techniques and problems; only the simpler cases are treated-modular forms of even weights without multipliers, the principal congruence subgroups, and the Hecke operators for the full modular group alone.

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Schlagwörter

Linear combination, Modular form, Change of variables, Geometry, Quotient group, Riemann sphere, Vector space, Local coordinates, Automorphism, Big O notation, Meromorphic function, Uniformization theorem, Compact space, Fundamental domain, Strong topology, Compactification (mathematics), Quadratic form, Scientific notation, Fourier series, Chain rule, Integer, Ellipse, Equivalence relation, Linear subspace, Coefficient, Linear fractional transformation, Dimension (vector space), Euler characteristic, Linear map, Modular group, Summation, Calculation, Subgroup, Requirement, Cusp form, Theorem, Differential form, Hilbert space, Equivalence class, Quotient space (topology), Riemann surface, Upper half-plane, Eisenstein series, Neighbourhood (mathematics), Compact Riemann surface