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 ${\rm SL}_2(\ZZ)$
• List of coset representatives for $\Gamma_H(N)$ in ${\rm SL}_2(\ZZ)$
• 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