By Alan Baker
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The 1995 paintings of Wiles and Taylor-Wiles unfolded a complete new method in algebraic quantity concept and, a decade on, the waves as a result of this really vital paintings are nonetheless being felt. This e-book, authored through a number one researcher, describes the awesome functions which were stumbled on for this system.
An imaginitive advent to quantity idea, this special approach employs a couple of fictional characters, Ant and Gnam. Ant leads Gnam via numerous theories, and jointly, they positioned the theories into action—applying linear diophantine equations to soccer scoring, utilizing a black-magic gadget to simplify difficulties in modular constructions, and constructing fascinating variations to the principles of chess.
Within the spirit of Alladi Ramakrishnan’s profound curiosity and contributions to 3 fields of technology — arithmetic, records, and Physics — this quantity comprises invited surveys and examine articles from in demand contributors of those groups who additionally knew Ramakrishnan for my part and enormously revered his effect in those parts of technology.
Within the Seventies Hirzebruch and Zagier produced elliptic modular types with coefficients within the homology of a Hilbert modular floor. They then computed the Fourier coefficients of those varieties when it comes to interval integrals and L-functions. during this ebook the authors take another method of those theorems and generalize them to the atmosphere of Hilbert modular kinds of arbitrary measurement.
Extra info for A Comprehensive Course in Number Theory
A Comprehensive Course in Number Theory by Alan Baker