Modular Symbols

• Creation of modular symbols spaces
• Base class of the space of modular symbols
• 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 over $\mathbf{Q}$, elements of ${\mathbb{P}}^1(\mathbf{Z}/N\mathbf{Z})$
• List of coset representatives for ${\mathrm{\Gamma }}_1(N)$ in ${\mathrm{SL}}_2(\mathbf{Z})$
• List of coset representatives for ${\mathrm{\Gamma }}_H(N)$ in ${\mathrm{SL}}_2(\mathbf{Z})$
• Relation matrices for ambient modular symbols spaces
• Lists of Manin symbols over number fields, elements of ${\mathbb{P}}^1(R/N)$
• Monomial expansion of $(aX+bY{)}^i(cX+dY{)}^{j-i}$
• Sparse action of Hecke operators
• Optimized computing of 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