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Modular Symbols¶

  • Creation of modular symbols spaces
  • Space of modular symbols (base class)
  • Ambient spaces of modular symbols
  • Subspace of ambient spaces of modular symbols
  • A single element of an ambient space of modular symbols
  • Modular symbols {alpha, beta}
  • Manin symbols
  • Manin symbol lists
  • Space of boundary modular symbols
  • Heilbronn matrix computation
  • Lists of Manin symbols (elements of \(\mathbb{P}^1(\ZZ/N\ZZ)\)) over \(\QQ\)
  • List of coset representatives for \(\Gamma_1(N)\) in \(\SL_2(\ZZ)\)
  • List of coset representatives for \(\Gamma_H(N)\) in \(\SL_2(\ZZ)\)
  • Relation matrices for ambient modular symbols spaces
  • Lists of Manin symbols (elements of \(\mathbb{P}^1(R/N)\)) over number fields
  • Monomial expansion of \((aX + bY)^i (cX + dY)^{j-i}\)
  • Sparse action of Hecke operators
  • Optimized Cython code for computing relation matrices in certain cases

Overconvergent modular symbols¶

  • Pollack-Stevens’ Modular Symbols Spaces
  • Spaces of Distributions for Pollack-Stevens modular symbols
  • Manin Relations for overconvergent modular symbols
  • \(p\)-adic \(L\)-series attached to overconvergent eigensymbols
  • Manin map
  • Element class for Pollack-Stevens’ Modular Symbols
  • Quotients of the Bruhat-Tits tree
  • Spaces of \(p\)-adic automorphic forms

Indices and Tables¶

  • Index

  • Module Index

  • Search Page

Table of Contents

  • Modular Symbols
    • Overconvergent modular symbols
  • Indices and Tables

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