LEADER 02764nam  2200529   450 
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010   $a3-030-77263-2
024 7 $a10.1007/978-3-030-77263-5
035   $a(CKB)4100000011996610
035   $a(DE-He213)978-3-030-77263-5
035   $a(MiAaPQ)EBC6698062
035   $a(Au-PeEL)EBL6698062
035   $a(OCoLC)1263868884
035   $a(PPN)257353879
035   $a(EXLCZ)994100000011996610
100   $a20220428d2021      uy             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 14$aThe Eigenbook $eEigenvarieties, families of Galois representations, p-adic L-functions /$fJoe?l Bellai?che
205   $a1st ed. 2021.
210  1$aCham, Switzerland :$cBirkha?user,$d[2021]
210  4$d©2021
215   $a1 online resource (XI, 316 p. 16 illus., 1 illus. in color.)
225 0 $aPathways in mathematics,$x2367-3451
311   $a3-030-77262-4 
320   $aIncludes bibliographical references and index.
327   $a- Introduction -- Part I The ?Eigen? Construction -- Eigenalgebras -- Eigenvarieties -- Part II Modular Symbols and L-Functions -- Abstract Modular Symbols -- Classical Modular Symbols, Modular Forms, L-functions -- Rigid Analytic Modular Symbols and p-Adic L-functions -- Part III The Eigencurve and its p-Adic L-Functions -- The Eigencurve of Modular Symbols -- p-Adic L-Functions on the Eigencurve -- The Adjoint p-Adic L-Function and the Ramification Locus of the Eigencurve -- Solutions and Hints to Exercises.
330   $aThis book discusses the p-adic modular forms, the eigencurve that parameterize them, and the p-adic L-functions one can associate to them. These theories and their generalizations to automorphic forms for group of higher ranks are of fundamental importance in number theory. For graduate students and newcomers to this field, the book provides a solid introduction to this highly active area of research. For experts, it will offer the convenience of collecting into one place foundational definitions and theorems with complete and self-contained proofs. Written in an engaging and educational style, the book also includes exercises and provides their solution.
410  0$aPathways in Mathematics,$x2367-346X
606   $aNumber theory
606   $aTeoria de nombres$2thub
608   $aLlibres electrònics$2thub
615  0$aNumber theory.
615  7$aTeoria de nombres
676   $a512.7
700   $aBellai?che$b Joe?l$0851662
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466402703316
996   $aThe Eigenbook$91901592
997   $aUNISA