268 Index
Eisenstein subspace, 83
Fermat’s last theorem, 10
Hecke algebra
generators over Z, 175
Hecke operator, 54, 225
Heilbronn matrices, 48, 132, 133, 148,
150
SAGE, 49
Krylov subspace, 114
lattices, 11
linear symmetric spaces, 245
Maeda’s conjecture, 28
Manin symbols, 44
and boundary space, 134
and cuspidal subspace, 134
modular symbols
finite presentation, 44
new and old subspace of, 143
newform, 155
associated period map, 177
computing, 159
system of eigenvalues, 166
new modular symbols, 143
number field sieve, 69
old modular symbols, 143
partitions, 11
period mapping
computation of, 185
Petersson inner product, 59, 160
Ramanujan graphs, 10
right action of GL2(Q),
5
Serre’s conjecture, 11
Shimura-Taniyama conjecture, 37
valence formula, 17
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