LEADER 03029nam 22005415 450 001 9910360852003321 005 20250723205121.0 010 $a3-030-29123-5 024 7 $a10.1007/978-3-030-29123-5 035 $a(CKB)4100000009844967 035 $a(DE-He213)978-3-030-29123-5 035 $a(MiAaPQ)EBC5982906 035 $a(PPN)257359524 035 $a(MiAaPQ)EBC29090972 035 $a(EXLCZ)994100000009844967 100 $a20191120d2019 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aJacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms /$fby YoungJu Choie, Min Ho Lee 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XV, 296 p. 1 illus.) 225 1 $aSpringer Monographs in Mathematics,$x1439-7382 311 08$a3-030-29122-7 327 $aIntroduction -- Formal power series and pseudodifferential operators -- Jacobi-like forms and pseudodifferential operators -- Hecke operators -- Lie algebras -- Heat operators -- Group cohomology -- Quasimodular forms -- Quasimodular and modular polynomials -- Liftings of quasimodular forms -- Quasimodular forms and vector-valued modular forms -- Differential operators on modular forms -- Half-integral weight forms -- Projective structures -- Applications of quasimodular forms. 330 $aThis book explores various properties of quasimodular forms, especially their connections with Jacobi-like forms and automorphic pseudodifferential operators. The material that is essential to the subject is presented in sufficient detail, including necessary background on pseudodifferential operators, Lie algebras, etc., to make it accessible also to non-specialists. The book also covers a sufficiently broad range or illustrations of how the main themes of the book have occurred in various parts of mathematics to make it attractive to a wider audience. The book is intended for researchers and graduate students in number theory. . 410 0$aSpringer Monographs in Mathematics,$x1439-7382 606 $aNumber theory 606 $aGeometry, Algebraic 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 615 0$aNumber theory. 615 0$aGeometry, Algebraic. 615 14$aNumber Theory. 615 24$aAlgebraic Geometry. 676 $a512.7 700 $aChoie$b YoungJu$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781359 702 $aLee$b Min Ho$f1951-$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910360852003321 996 $aJacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms$92516863 997 $aUNINA