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010   $a981-10-2651-3
024 7 $a10.1007/978-981-10-2651-5
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035   $a(DE-He213)978-981-10-2651-5
035   $a(MiAaPQ)EBC4748776
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100   $a20161125d2016      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aProblems in the Theory of Modular Forms /$fby M. Ram Murty, Michael Dewar, Hester Graves
205   $a1st ed. 2016.
210  1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2016.
215   $a1 online resource (XVII, 291 p. 8 illus.) 
225 1 $aIMSc Lecture Notes in Mathematics,$x2509-808X
311 08$a981-10-2650-5 
320   $aIncludes bibliographical references at the end of each chapters and index.
327   $aPart I Problems -- Chapter 1. Jacobi?s q-series -- Chapter 2. The Modular Group -- Chapter 3. The Upper Half-Plane -- Chapter 4. Modular Forms of Level One -- Chapter 5. The Ramanujan _ T-function -- Chapter 6. Modular Forms of Higher Level -- Chapter 7. The Petersson Inner Product -- Chapter 8. Hecke Operators of Higher Level -- Chapter 9. Dirichlet Series and Modular Forms -- Chapter 10. Special Topics -- Part II Solutions -- Chapter 1. Jacobi?s q-series -- Chapter 2. The Modular Group -- Chapter 3. The Upper Half-Plane -- Chapter 4. Modular Forms of Level One -- Chapter 5. The Ramanujan _ T-function -- Chapter 6. Modular Forms of Higher Level -- Chapter 7. The Petersson Inner Product -- Chapter 8. Hecke Operators of Higher Level -- Chapter 9. Dirichlet Series and Modular Forms -- Chapter 10. Special Topics.
330   $aThis book introduces the reader to the fascinating world of modular forms through a problem-solving approach. As such, besides researchers, the book can be used by the undergraduate and graduate students for self-instruction. The topics covered include q-series, the modular group, the upper half-plane, modular forms of level one and higher level, the Ramanujan ?-function, the Petersson inner product, Hecke operators, Dirichlet series attached to modular forms and further special topics. It can be viewed as a gentle introduction for a deeper study of the subject. Thus, it is ideal for non-experts seeking an entry into the field. .
410  0$aIMSc Lecture Notes in Mathematics,$x2509-808X
606   $aNumber theory
606   $aOperator theory
606   $aFunctions, Special
606   $aSequences (Mathematics)
606   $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
606   $aSpecial Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M1221X
606   $aSequences, Series, Summability$3https://scigraph.springernature.com/ontologies/product-market-codes/M1218X
615  0$aNumber theory.
615  0$aOperator theory.
615  0$aFunctions, Special.
615  0$aSequences (Mathematics)
615 14$aNumber Theory.
615 24$aOperator Theory.
615 24$aSpecial Functions.
615 24$aSequences, Series, Summability.
676   $a512.74
700   $aMurty$b M. Ram$4aut$4http://id.loc.gov/vocabulary/relators/aut$061548
702   $aDewar$b Michael$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aGraves$b Hester$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910155526903321
996   $aProblems in the Theory of Modular Forms$92124671
997   $aUNINA