Ramanujan's theta functions. (2017)

• Record Type: Book
• Further Information: Note: Shaun Cooper.
• Authors: Cooper, Shaun
• Contents: Preface -- 0. Sum to Product Identities -- 1. Elliptic Functions -- 2. Transformations -- 3. Theta Functions -- 4. Levels 1, 2, 3, and 4: Jacobi's Inversion Theorem and Ramanujan's Alternative Theories -- 5. Level 5: The Rogers-Ramanujan Continued Fraction -- 6. Level 6: Ramanujan's Cubic Continued Fraction -- 7. Level 7 -- 8. Level 8: The Ramanujan-Gollnitz-Gordon Continued Fraction -- 9. Level 9 -- 10. Level 10: Ramanujan's Function k -- 11. Levels 11 and 23 -- 12. Level 12 -- 13. Hypergeometric Modular Transformations -- 14. Ramanujan's Series for 1/pi -- References.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource (xviii, 687 pages), illustrations
• Subjects: 515/.984; Mathematics; Functions, Theta; MATHEMATICS -- Calculus; MATHEMATICS -- Mathematical Analysis; Functions, Theta; Mathematics -- Geometry -- Algebraic; Algebraic geometry; Number theory; Geometry, algebraic; Mathematics -- Number Theory; Number theory; Electronic books
• Languages: English
• ISBNs: 9783319561721; 3319561723
• Related ISBNs: 9783319561714; 3319561715
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed June 13, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.