Processing math: 100%

Navigation

  • index
  • modules |
  • next |
  • Sage Reference Manual »
  • Modular Symbols »

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 P1(Z/NZ)) over Q
  • List of coset representatives for Γ1(N) in SL2(Z)
  • List of coset representatives for ΓH(N) in SL2(Z)
  • Relation matrices for ambient modular symbols spaces
  • Lists of Manin symbols (elements of P1(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

Next topic

Creation of modular symbols spaces

This Page

  • Show Source

Quick search

Navigation

  • index
  • modules |
  • next |
  • Sage Reference Manual »
  • Modular Symbols »
© Copyright 2005--2019, The Sage Development Team. Created using Sphinx 1.8.5.