000 02872nam a22003735i 4500
001 288694
003 MX-SnUAN
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007 cr nn 008mamaa
008 150903s2012 xxu| o |||| 0|eng d
020 _a9781461421252
_99781461421252
024 7 _a10.1007/9781461421252
_2doi
035 _avtls000340786
039 9 _a201509030351
_bVLOAD
_c201404300420
_dVLOAD
_y201402061034
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA297-299.4
100 1 _aShimura, Goro.
_eautor
_9304065
245 1 0 _aModular Forms: Basics and Beyond /
_cby Goro Shimura.
264 1 _aNew York, NY :
_bSpringer New York,
_c2012.
300 _ax, 175 páginas
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aSpringer Monographs in Mathematics,
_x1439-7382
500 _aSpringer eBooks
505 0 _aPreface -- Notation and Terminology -- Chapter I. Preliminaries -- Chapter II. Theta Functions and Factors of Automorphy -- Chapter III. The Rationality and Eisenstein Series -- Chapter IV. The Correspondence between Forms of Integral and Half-integral Weight -- Chapter V. The Arithmeticity of Critical Values of Dirichlet Series -- Appendix -- References -- Index.
520 _aThis is an advanced book on modular forms. While there are many books published about modular forms, they are written at an elementary level, and not so interesting from the viewpoint of a reader who already knows the basics. This book offers something new, which may satisfy the desire of such a reader. However, we state every definition and every essential fact concerning classical modular forms of one variable. One of the principal new features of this book is the theory of modular forms of half-integral weight, another being the discussion of theta functions and Eisenstein series of holomorphic and nonholomorphic types. Thus the book is presented so that the reader can learn such theories systematically. Ultimately, we concentrate on the following two themes: (I) The correspondence between the forms of half-integral weight and those of integral weight. (II) The arithmeticity of various Dirichlet series associated with modular forms of integral or half-integral weight. Goro Shimura is currently a professor emeritus of mathematics at Princeton University.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9781461421245
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-1-4614-2125-2
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999 _c288694
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