- Title Pages
- Let be defined by
- Author information
- Dependencies between the chapters
Chapter OneIntroduction, main results, context
Chapter TwoModular curves, modular forms, lattices, Galois representations
Chapter ThreeFirst description of the algorithms
Chapter FourShort introduction to heights and Arakelov theory
Chapter FiveComputing complex zeros of polynomials and power series
Chapter SixComputations with modular forms and Galois representations
Chapter SevenPolynomials for projective representations of level one forms
Chapter EightDescription of X1(5l)
Chapter NineApplying Arakelov theory
Chapter TenAn upper bound for Green functions on Riemann surfaces
Chapter ElevenBounds for Arakelov invariants of modular curves
Chapter TwelveApproximating Vf over the complex numbers
Chapter ThirteenComputing Vf modulo p
Chapter FourteenComputing the residual Galois representations
Chapter FifteenComputing coefficients of modular forms
- Computational Aspects of Modular Forms and Galois Representations
- Princeton University Press
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