Text| Item type | Current library | Collection | Shelving location | Call number | Status | Notes | Date due | Barcode | Item holds | |
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BITS Pilani Hyderabad | 510 | General Stack (For lending) | 512.7 DIA-F (Browse shelf(Opens below)) | Available | DST Project : Dr. Debopam Chakraborty. | 43619 |
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| 512.7 CHI-L Concrete introduction to higher algebra / | 512.7 CLA-C Mathematical mysteries : | 512.7 COP-W Number theory : an introduction to mathematics part A / | 512.7 DIA-F A first course in modular forms / | 512.7 ERI-M Introduction to number theory / | 512.7 EVE-G Introduction to number theory / | 512.7 GRI-E Methods of solving number theory problems / |
This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers elliptic curves as complex tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner theory; Hecke eigenforms and their arithmetic properties; the Jacobians of modular curves and the Abelian varieties associated with Hecke eigenforms. As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory. The authors assume no background in algebraic number theory and algebraic geometry. Exercises are included.
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