LEADER 03785nam 22010455 450 001 9910154753603321 005 20190708092533.0 010 $a1-4008-8166-8 024 7 $a10.1515/9781400881666 035 $a(CKB)3710000000620070 035 $a(MiAaPQ)EBC4738547 035 $a(DE-B1597)467911 035 $a(OCoLC)979743243 035 $a(DE-B1597)9781400881666 035 $a(EXLCZ)993710000000620070 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aLectures on Modular Forms. (AM-48), Volume 48 /$fRobert C. Gunning 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$d©1962 215 $a1 online resource (108 pages) $cillustrations 225 0 $aAnnals of Mathematics Studies ;$v267 311 $a0-691-07995-1 320 $aIncludes bibliographical references at the end of each chapters. 327 $tFrontmatter -- $tINTRODUCTION / $rGunning, R . C . -- $tCONTENTS -- $tCHAPTER I. GEOMETRICAL BACKGROUND -- $tCHAPTER II. MODULAR FORMS -- $tCHAPTER III. POINCARÉ SERIES -- $tCHAPTER IV. EISENSTEIN SERIES -- $tCHAPTER V. MODULAR CORRESPONDENCES -- $tCHAPTER VI. QUADRATIC FORMS 330 $aNew interest in modular forms of one complex variable has been caused chiefly by the work of Selberg and of Eichler. But there has been no introductory work covering the background of these developments. H. C. Gunning's book surveys techniques and problems; only the simpler cases are treated-modular forms of even weights without multipliers, the principal congruence subgroups, and the Hecke operators for the full modular group alone. 410 0$aAnnals of mathematics studies ;$vNumber 48. 606 $aForms, Modular 606 $aModular functions 610 $aAutomorphism. 610 $aBig O notation. 610 $aCalculation. 610 $aChain rule. 610 $aChange of variables. 610 $aCoefficient. 610 $aCompact Riemann surface. 610 $aCompact space. 610 $aCompactification (mathematics). 610 $aCusp form. 610 $aDifferential form. 610 $aDimension (vector space). 610 $aEisenstein series. 610 $aEllipse. 610 $aEquivalence class. 610 $aEquivalence relation. 610 $aEuler characteristic. 610 $aFourier series. 610 $aFundamental domain. 610 $aGeometry. 610 $aHilbert space. 610 $aInteger. 610 $aLinear combination. 610 $aLinear fractional transformation. 610 $aLinear map. 610 $aLinear subspace. 610 $aLocal coordinates. 610 $aMeromorphic function. 610 $aModular form. 610 $aModular group. 610 $aNeighbourhood (mathematics). 610 $aQuadratic form. 610 $aQuotient group. 610 $aQuotient space (topology). 610 $aRequirement. 610 $aRiemann sphere. 610 $aRiemann surface. 610 $aScientific notation. 610 $aStrong topology. 610 $aSubgroup. 610 $aSummation. 610 $aTheorem. 610 $aUniformization theorem. 610 $aUpper half-plane. 610 $aVector space. 615 0$aForms, Modular. 615 0$aModular functions. 676 $a512.87 686 $aSK 180$2rvk 700 $aGunning$b Robert C., $041063 702 $aGunning$b R . C ., $4ctb$4https://id.loc.gov/vocabulary/relators/ctb 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154753603321 996 $aLectures on Modular Forms. (AM-48), Volume 48$92788039 997 $aUNINA