Show Summary Details
- Title Pages
- Let be defined by
- Contents
- Preface
- Acknowledgments
- Author information
- Dependencies between the chapters
-
Chapter One Introduction, main results, context -
Chapter Two Modular curves, modular forms, lattices, Galois representations -
Chapter Three First description of the algorithms -
Chapter Four Short introduction to heights and Arakelov theory -
Chapter Five Computing complex zeros of polynomials and power series -
Chapter Six Computations with modular forms and Galois representations -
Chapter Seven Polynomials for projective representations of level one forms -
Chapter Eight Description of X1(5l) -
Chapter Nine Applying Arakelov theory -
Chapter Ten An upper bound for Green functions on Riemann surfaces -
Chapter Eleven Bounds for Arakelov invariants of modular curves -
Chapter Twelve Approximating Vf over the complex numbers -
Chapter Thirteen Computing Vf modulo p -
Chapter Fourteen Computing the residual Galois representations -
Chapter Fifteen Computing coefficients of modular forms - Epilogue
- Bibliography
- Index
An upper bound for Green functions on Riemann surfaces
An upper bound for Green functions on Riemann surfaces
- Chapter:
- (p.203) Chapter Ten An upper bound for Green functions on Riemann surfaces
- Source:
- Computational Aspects of Modular Forms and Galois Representations
- Author(s):
Franz Merkl
- Publisher:
- Princeton University Press
DOI:10.23943/princeton/9780691142012.003.0010
This chapter deals with an upper bound for Green functions on Riemann surfaces.
Keywords: modular forms, Arakelov invariants, modular curves, Green functions, Riemann surfaces
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- Title Pages
- Let be defined by
- Contents
- Preface
- Acknowledgments
- Author information
- Dependencies between the chapters
-
Chapter One Introduction, main results, context -
Chapter Two Modular curves, modular forms, lattices, Galois representations -
Chapter Three First description of the algorithms -
Chapter Four Short introduction to heights and Arakelov theory -
Chapter Five Computing complex zeros of polynomials and power series -
Chapter Six Computations with modular forms and Galois representations -
Chapter Seven Polynomials for projective representations of level one forms -
Chapter Eight Description of X1(5l) -
Chapter Nine Applying Arakelov theory -
Chapter Ten An upper bound for Green functions on Riemann surfaces -
Chapter Eleven Bounds for Arakelov invariants of modular curves -
Chapter Twelve Approximating Vf over the complex numbers -
Chapter Thirteen Computing Vf modulo p -
Chapter Fourteen Computing the residual Galois representations -
Chapter Fifteen Computing coefficients of modular forms - Epilogue
- Bibliography
- Index
