600 Index
hypergeometric function, 537
hyperreal number, 76
ideal, 63, 90–91, 145, 148
class group, 151
in quadratic field, 146–151, 207
of Lie algebra, 441
identity
element, 12, 20, 55–56, 60, 65, 83
map, 4
Ikehara’s theorem, 367, 373, 385, 389,
390, 408
image, 4
imaginary
part, 40
quadratic field, 140
incidence matrix, 247–249
included, 2
indecomposable lattice, 348–349
indefinite quadratic form, 205
indeterminate, 96
index of
quadratic space, 296, 297
subgroup, 58, 60, 419, 423–424, 568
indicator function, 327, 358, 449,
470
individual ergodic theorem, 466
induced representation, 419–423, 425
induction, 9
infimum, 19, 22
infinite order, 59
inflection point, 551
inhomogeneous Lorentz group, 442
injection, 4
injectivemap,4,9,68
inner product space, 71–75, 79, 433
integer, 10–15, 17
of quadratic field, 106, 141
integrable, 466
in sense of Lebesgue, 32, 75, 327,
435
in sense of Riemann, 327, 358, 449,
450
integral
divisor, 386
domain, 62, 87, 96
equations, 74, 79, 223
lattice, 349, 538
representation forΓ-function, 380,
573
interior, 28, 333, 337, 343
intersection
of modules, 166
of sets, 2–3, 61
of subspaces, 65
interval, 26, 29, 65
invariant
factor, 171
mean, 437
region, 481
subgroup, 58
subset, 485
subspace, 411
inverse, 12, 16, 55, 62, 153
class, 417
element, 55–56, 62, 556, 583
function theorem, 34–36, 76
map, 4–5
inversion
of elliptic integral, 514, 516
of order, 57, 129
invertible
element of ring, 62
matrix of integers, 162
measure-preserving transformation,
466, 479
involutory automorphism, 41, 140
irrational number, 22, 179, 448, 451
irrationality of√
2, 18, 99
irreducible
character, 414, 416–418, 437
curve, 551, 552–553
element, 89–90, 145
ideal, 148
polynomial, 98, 102, 111–112
representation, 411–418, 434, 437
irredundant representation, 344
isometric
metric spaces, 31
quadratic spaces, 299
isometry, 31, 75, 208, 299–303, 346, 430
isomorphism, 5, 14, 17, 22, 23
of groups, 59