Index 601of measure-preserving transformations,
482–483
of rings, 64
of vector spaces, 68
isotropic
subspace, 295
vector, 295
Jacobi symbol, 130–134, 139, 174
Jacobi’s
imaginary transformation, 377, 520
triple product formula, 518, 536, 545,
548, 582
Jacobian ellipticfunctions, 525–530
join, 2
Jordan–H ̈older theorem, 124
Kepler conjecture, 359–360
kernel of
group homomorphism, 53, 59
linear map, 68
representation, 426
ring homomorphism, 63
Kervaire–Milnor theorem, 78
Kingman’s ergodic theorem, 489
K-point
affine, 549
projective, 550, 555
kissing number, 351, 359, 362
Kronecker
approximation theorem, 452, 488
delta, 415
field extension theorem, 45
product, 68, 231, 233, 250, 255, 411
Lagrange’s theorem
on four squares, 120–122, 218, 541
on order of subgroup, 58, 110, 114
Landau order symbols, 194, 365, 590
Landau’s theorem, 405–406
Landen’s transformation, 529, 536, 566
Langlands program, 174, 178, 582
Laplace transform, 373, 394, 405
lattice, 85, 123; 141, 332–334, 348
in locally compact group, 490
packing, 348, 359
packing of balls, 348, 350, 359
point, 328, 332
translates, 337–338
Laurent
polynomial, 98, 216
series, 48, 211, 263, 287, 289, 358,
373
law of
iterated logarithm, 391, 395, 489
Pythagoras, 17, 73–74, 108
quadratic reciprocity, 129, 133–136,
151, 174, 314
trichotomy, 8, 13, 21
least
common multiple, 84–87, 89
common right multiple, 167
element, 8
non-negative residue, 107, 115
upper bound, 19, 22, 24
least upper bound property(P4), 19,
22, 26
Lebesgue measurable, 32, 75
Lebesgue measure, 32, 327, 465, 472,
473, 480
Leech lattice, 350–351, 359, 362
Lefschetz fixed point theorem, 76
left
B ́ezout identity, 121
coprime matrices, 167–168
coset, 58
divisor, 167
Legendre
interchange property, 517
normal form, 498
polynomials, 74
relation, 508
symbol, 129, 133, 135, 149, 232,
305
theorem on ternary quadratic forms,
312
lemniscate, 495, 509, 536, 537
less than, 8
L-function, 404, 443, 571–574, 578
Lie
algebra, 440–442, 443–444
group, 439–442, 443–444
subalgebra, 440