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| Rockmore D. — Stalking the Riemann Hypothesis: The Quest to Find the Hidden Law of Prime Numbers |
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| Предметный указатель |
Schwartz, Laurent 141
Schwinger, Julian 163 171 237
Scientific American 221
Selberg trace formula 209—211
Selberg zeta function 210—211
Selberg, Atle 141 142 143 147 155 216 217 231 263
Selberg, Atle, existence proof of 151
Semiclassical limit 186—231
Semiclassical limit, Berry and 188—189
Semiclassical limit, billiard table analogy see billiard tables for physicists
Semiclassical limit, correspondence principle and 187
Semiclassical limit, Hamiltonian matrix and 227—228
Semiclassical limit, life at the 187—188
Semiclassical limit, quantization and 196—200
Semiclassical limit, quantum chaos and 187—190
Semiclassical limit, trace formula and 198
Seminaire Bourbaki 144—145
Sensitive dependence on initial conditions 189—190 198
Sensitive dependence on initial conditions, chaotic dynamical systems and 194—195 208
SETI project 266
Seven bridges of Koenigsberg, puzzle of 48—49
Shepp, L 255
Siegel, Carl Ludwig 64—65 155
Siegel, Carl Ludwig, described 140—141
Siegel, Carl Ludwig, Rademacher and 147
Siegel, Carl Ludwig, Riemann — Siegel formula and 139—140
Simon, Barry 242
Sinai's table 194 195 198 200
Sinai, Yakov 195
Sine function 160—162 164
Single-valued functions 147
Sinusoids 83
Skewes number 133—134 150 213
Skewes.S. 133
Snaith, Nina 226 262
Snell, Laurie 234
Snow, C.R 162
Society of Industrial and Applied Mathematics 260
Solitaire 250 253—259
Sorting 248—259
Sound waves 85—86
Spacing distribution 182—184 197—198
Spacing distribution, bulk spectrum 232
Spacings 182
Special functions 238
Spectral geometry 216—217
Spectral lines 172—173
Spectral theory 214
Spectrum, atomic 172
Specular reflection 191
Spin assignment 238—239
Spin states 238—239
Square numbers 10—11
Square pulse 160—161
Square-free numbers 97—99
standing waves 196—197
Stanford University 177 214 215 221 224 257
Stark, Harold 211
State University of New York at Stony Brook 233
Statistical mechanics 137
Statistical physics 173—175 233
Steepest descent 244
Stieltjes, Thomas 104—105 107 175 177 181 259
Stieltjes, Thomas, claimed proof of the Reimann hypothesis and 95—99
Stock market unpredictability 100 102—103
Stoppard, Tom 50
String theory 230
Stuyvesant High School 234
Superposition 83 85 176
Symplectic matrices 219
Synch Tonicity 225
Tabor, Michael 197—198 208
Tacoma Narrows bridge 148
Tao, Terrence 265
Taylor, Richard 148
te Riele, Herman 181
Tel Aviv University 218
Teller, Edward 249
tests of significance 226
TeX 257
Theorems 49—51 217
Theoretical computer science 149
Theories 49—50 217
Theory of Numbers (Legendre) 37 66
Theory of Numbers, The (Hardy and Wright) 162
Thomas Stieltjes Institute for Mathematics 96
Time 149
Time-limited phenomena 160—161
Time-reversal symmetry 227
Titchmarsh, E.C. 140
Tomonaga, S.-I. 171 237
topology 48—49
Trace formula 198 200
Trace formula, Selberg 209—211
Traces 198
| Tracy — Widom distributions 234—241
Tracy — Widom distributions, Deift and 240—246
Tracy, Craig 233—235 262
Tracy, Craig, described 233—234
Tracy, Craig, Ising model and 238—239
Transactions of the American Mathematical Society 148—149
Transcendental numbers 71—72
Transfinite numbers 22—23
Transformation 165—170 229
Transformation, Frobenius 220
Triangular numbers 11
Trinity College 170
Trivial zeta zeros 88—92
Turing Award 150 253 257
Turing machine 149—151
Turing Test 149—151
Turing, Alan 149—152
Twin Prime Conjecture 265
Twin primes 23—24
Ulam distance 252
Ulam's problem 255—256
Ulam, Stanislaw 249—253
Ulam, Stanislaw, algorithms and 250—253
Ulam, Stanislaw, atomic bomb and 249—250 255
Ulam, Stanislaw, described 249
Uncertainty principle 135 187—188
Unitary matrices 219
University of Arizona 197
University of Birmingham 257
University of Cairo 82
University of California, Berkeley 264
University of California, Davis 234 258
University of California, Los Angeles (UCLA) 265
University of California, Santa Cruz 234
University of Chicago 234
University of Gottingen 4 59 62 65 66 84 121 122 179
University of Leiden 96
University of Michigan 156 257
University of Pennsylvania 147 148—149
University of Toulouse 96
Update law 239
Vanderbilt University 265
Veblen, Oswald 155
Vernon, Dale 223
Vershik, A. 255
Volkov, A.E 228
von Koch, Niels 126—127
von Mangoldt, Hans 130 157
von Neumann, John 155 229 249
von Sterneck, R.Daublebsky 103—104 120 259
Wave function 171—172 176—179 216—217
Waves 83—87
Waves, atomic nuclei and 171—172 176—179
Waves, Fourier analysis of 160—161 178
Waves, standing 196—197
Weber's law 34
Wedeniwski, Sebastian 261 266
Weil, Andre 143—147 155
Weil, Andre, described 142 144 145
Weil, Andre, function fields and 143 145—147
Weil, Andre, Riemann hypothesis and 145—146
Weil, Andre, Seminaire Bourbaki and 144—145
Weil, Eveline 144
Weil, Simone 144
Wessel, Caspar 74—75
Weyl, Hermann 146
Widom, Harold 233 235 260
Widom, Harold, described 234
Widom, Harold, Tracy — Widom distributions 234—246
Wigner, Eugene 174 177
Wiles, Andrew 114 148 261—262
William of Occam 221
Williams, David 152
World War II 140—142 145 149 150 162—163 249
Wright, Wilbur 238
Yohe, J.M. 151
Young tableaux 256 258
Young, Alfred E. 256
Zagier, Don 24
Zeno 53 55 57 58
Zero 3—4
zeros and ones 16
ZETA see zeta zeros
Zeta zeros 4 86—88 116
Zeta zeros, computing for 266
Zeta zeros, eigenvalues and 175—185 199—200 210—211 220 225—229 232
Zeta zeros, height or level of 90—91
Zeta zeros, L-series and 110
Zeta zeros, nontrivial 89—92 120
Zeta zeros, quantum chaos and 199
Zeta zeros, randomness of 157—160
Zeta zeros, Riemann hypothesis and 5 88—94
Zeta zeros, trivial 88—92 see
Zeta-function computer 150
ZetaGrid project 266
Zhou, Xin 243 260
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