Computational Aspects of Modular Forms and Galois Representations

Explore the fascinating world of modular forms with Computational Aspects of Modular Forms and Galois Representations by B. Edixhoven, published by Princeton University Press in 2011. This comprehensive paperback spans 440 pages and delves into the critical role modular forms play across diverse mathematical fields, including number theory, algebraic geometry, combinatorics, and lattices. The book presents an innovative algorithm designed to compute coefficients of modular forms of level one efficiently in polynomial time. Ideal for advanced mathematics enthusiasts and researchers, this work bridges the gap between theory and practical computation, making it an essential addition to your mathematical library. Discover the intricate connections between modular forms and Galois representations, and enhance your understanding of class field theory and Galois modules. Perfect for those keen on deepening their knowledge in advanced mathematics and algebra.