03785nam 22010455 450 991015475360332120190708092533.01-4008-8166-810.1515/9781400881666(CKB)3710000000620070(MiAaPQ)EBC4738547(DE-B1597)467911(OCoLC)979743243(DE-B1597)9781400881666(EXLCZ)99371000000062007020190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierLectures on Modular Forms. (AM-48), Volume 48 /Robert C. GunningPrinceton, NJ : Princeton University Press, [2016]©19621 online resource (108 pages) illustrationsAnnals of Mathematics Studies ;2670-691-07995-1 Includes bibliographical references at the end of each chapters.Frontmatter -- INTRODUCTION / Gunning, R . C . -- CONTENTS -- CHAPTER I. GEOMETRICAL BACKGROUND -- CHAPTER II. MODULAR FORMS -- CHAPTER III. POINCARÉ SERIES -- CHAPTER IV. EISENSTEIN SERIES -- CHAPTER V. MODULAR CORRESPONDENCES -- CHAPTER VI. QUADRATIC FORMSNew 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.Annals of mathematics studies ;Number 48.Forms, ModularModular functionsAutomorphism.Big O notation.Calculation.Chain rule.Change of variables.Coefficient.Compact Riemann surface.Compact space.Compactification (mathematics).Cusp form.Differential form.Dimension (vector space).Eisenstein series.Ellipse.Equivalence class.Equivalence relation.Euler characteristic.Fourier series.Fundamental domain.Geometry.Hilbert space.Integer.Linear combination.Linear fractional transformation.Linear map.Linear subspace.Local coordinates.Meromorphic function.Modular form.Modular group.Neighbourhood (mathematics).Quadratic form.Quotient group.Quotient space (topology).Requirement.Riemann sphere.Riemann surface.Scientific notation.Strong topology.Subgroup.Summation.Theorem.Uniformization theorem.Upper half-plane.Vector space.Forms, Modular.Modular functions.512.87SK 180rvkGunning Robert C., 41063Gunning R . C ., ctbhttps://id.loc.gov/vocabulary/relators/ctbDE-B1597DE-B1597BOOK9910154753603321Lectures on Modular Forms. (AM-48), Volume 482788039UNINA