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| Everest G., van der Poorten A., Shparlinski I. — Recurrence sequences |
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| Предметный указатель |
RSA-cryptosystem, cycling attack 246
Rudin — Shapiro sequence 234 235 255
Rudin — Shapiro sequence and trigonometric polynomial 236
Rudin — Shapiro sequence, pseudo-random properties 237
S-norm 19
S-number 130
S-unit 5 19—22
S-unit, average value of sums 36
S-unit, equation 19 21—23 27 41 133
S-unit, equation in positive characteristic 41
S-unit, equation over function fields 142
S-unit, linear equation in 22
S-unit, sums in function fields 42
Salem number 36 60 102
Selector sequence 71
Self-shrinking generator 71 72
Selfridge's problem 108
Sequences of maximal period 47
Shanks sequence 147 191
Shrinkage 71
Shrinking generator 71 219
Shrinking generator, output rate 219
Shrunken sequence 55 71 219
Sierpinksi number 255
Skolem — Mahler — Lech Theorem 5 25 26 29 88 157
Skolem — Mahler — Lech Theorem and growth of sequences 31
Skolem — Mahler — Lech Theorem for q-recurrence sequences 42
Skolem — Mahler — Lech Theorem, history 26
Skolem — Mahler — Lech Theorem, linear differential equations 41
Skolem — Mahler — Lech Theorem, positive characteristic 42
Skolem — Mahler — Lech Theorem, questions 26
Skolem — Mahler — Lech Theorem, requires zero characteristic 42
Somos sequence 10
Somos-4 sequence 9 164 179 255
Somos-4 sequence and graph matchings 179
Somos-7 sequence 95 255
Sophie Germain prime 188
Sparse Polynomial 75
Sparse polynomial, linear factors 141
Sparse polynomial, number of zeros 141
Sparse polynomial, powers 141
Sparse polynomial, type 141
Spectral Conjecture 182
Sphere complexity 230
Stability of distribution 129
Stern sequence 153 155 255
Strassmann's Theorem xi 13
Subshift of finite type 188
Subspace Theorem 20
Subspace theorem, p-adic 20
Substitutions, sequences realized as fixed points 235
| Subtract-with-borrow sequence 56 217
Super-singular hyperelliptic curves 206
Sylvester sequence 255
Szemeredi theorem 34 35 43 102 248
Szemeredi Theorem, cyclic linear codes 248
Szemeredi Theorem, effective 248
T(p,s,g) 202
T-number 130
Tausworthe generator 212
Taxi-cab equation 170
Tchebotarev density theorem 29 105—108
Tchebychev polynomial ix
Tee shirt 179
Thue equation 157
Thue — Morse sequence 234 237 255
Thue — Morse sequence, palindromic patterns 237
Thue — Morse sequence, pseudo-random properties 237
Toral automorphism, ergodic 189
Toral automorphism, expansive 189
Toral automorphism, quasihyperbolic 189
Transcendental number, constructions 72
Tribonacci sequence 186 255
Turan's theorem 34
Type of a polynomial 141
Uniform boundedness conjecture 59
Uniformly distributed 127
Uniformly distributed, completely 127 128 130
Uniformly distributed, Weyl criterion 129
Van der Corput sequence 233
Vandermonde, determinant 49
Vandermonde, matrix 4 249
Waring problem 201
Weierstrass,  -function 163 165
Weierstrass, -function, periodicity 165
Weierstrass, equation 166 173
Weierstrass, p-adic Preparation Theorem xi
Weil, bound 77 81 143
Weil, theorem 59
Weyl criterion 129
Wieferich numbers 62
Woodall number 255
XOR 217
Z-numbers 134
Zeta-function, algebraic variety ix 156
Zeta-function, dynamical 61
Zeta-function, dynamical,  -transformation 60
Zeta-function, dynamical, hyperbolic systems 61
Zeta-function, polynomial mappings 156
Zsigmondy's Theorem 93 103
Zsigmondy's Theorem for elliptic curves 169
Zsigmondy's Theorem, algebraic number fields 104
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