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[null,"1.","Record Nr.",null,"UNINA9910155526903321"]
[null,null,"Autore",null,"Murty M. Ram"]
[null,null,"Titolo",null,"Problems in the Theory of Modular Forms / / by M. Ram Murty, Michael Dewar, Hester Graves"]
[null,null,"Pubbl/distr/stampa",null,"Singapore : , : Springer Singapore : , : Imprint : Springer, , 2016"]
[null,null,"ISBN",null,"981-10-2651-3"]
[null,null,"Edizione",null,"[1st ed. 2016.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XVII, 291 p. 8 illus.)"]
[null,null,"Collana",null,"IMSc Lecture Notes in Mathematics, , 2509-808X"]
[null,null,"Disciplina",null,"512.74"]
[null,null,"Soggetti",null,"Number theory"]
[{"$nulls":4},"Operator theory"]
[{"$nulls":4},"Functions, Special"]
[{"$nulls":4},"Sequences (Mathematics)"]
[{"$nulls":4},"Number Theory"]
[{"$nulls":4},"Operator Theory"]
[{"$nulls":4},"Special Functions"]
[{"$nulls":4},"Sequences, Series, Summability"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references at the end of each chapters and index."]
[null,null,"Nota di contenuto",null,"Part I Problems -- Chapter 1. Jacobi’s q-series -- Chapter 2. The Modular Group -- Chapter 3. The Upper Half-Plane -- Chapter 4. Modular Forms of Level One -- Chapter 5. The Ramanujan _ T-function -- Chapter 6. Modular Forms of Higher Level -- Chapter 7. The Petersson Inner Product -- Chapter 8. Hecke Operators of Higher Level -- Chapter 9. Dirichlet Series and Modular Forms -- Chapter 10. Special Topics -- Part II Solutions -- Chapter 1. Jacobi’s q-series -- Chapter 2. The Modular Group -- Chapter 3. The Upper Half-Plane -- Chapter 4. Modular Forms of Level One -- Chapter 5. The Ramanujan _ T-function -- Chapter 6. Modular Forms of Higher Level -- Chapter 7. The Petersson Inner Product -- Chapter 8. Hecke Operators of Higher Level -- Chapter 9. Dirichlet Series and Modular Forms -- Chapter 10. Special Topics."]
[null,null,null,"Sommario/riassunto","This book introduces the reader to the fascinating world of modular forms through a problem-solving approach. As such, besides researchers, the book can be used by the undergraduate and graduate students for self-instruction. The topics covered include q-series, the modular group, the upper half-plane, modular forms of level one and "]
[{"$nulls":4},"higher level, the Ramanujan τ-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. ."]