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Abel, Niels Henrik 66, 223
Adams, Douglas 283
Adleman, Leonard 11, 228–32, 229, 236, 238, 240, 249
Agrawal, Manindra 245
American Mathematical Society 224, 301, 304
Analytical Engine (Babbage) 190
Apollonius 61
Appel, Kenneth 211, 212
Arago, François 45
Archimedes 52, 61
Armengaud, Joel 208
Aronofsky, Darren 28
astronomy 208
AT&T 12, 219–23, 254, 270, 273, 280, 281, 311
Atkins, Derek 239
atoms 264–9, 277, 278
axioms, consistent 179–80, 181
Babbage, Charles 189–90, 191
Babylonians 67
Baker, Alan 16, 256, 258
Bamberger, Louis 160
Barnes, Ernest 126–7
Bell Laboratories 219, 238
Berndt, Bruce 146
Berry, Sir Michael 84, 278–80, 283, 285–6, 307, 311
Bertrand, Joseph 164
Bertrand’s Postulate 164, 169–70
Bessel-Hagen, Erich 151, 154
‘Bible code’ 271, 275
Birch, Bryan 250–52
Birch-Swinnerton-Dyer Conjecture 246, 250–51, 252
Bletchley Park, Milton Keynes, Buckinghamshire 174, 175, 190, 191, 192, 204, 205, 206, 226, 311
Bloomsbury publishing house 15–16
Bohr, Harald 117, 118, 119, 121–2, 123, 156, 159
Bohr, Niels 117
Bois-Reymond, Emil du 113
Boiteux, Marcel 299
Bolyai, János 110
Bombieri, Enrico 8, 13, 19, 193, 218, 231, 307
faith in the Hypothesis 10, 214–15, 219
Fields Medal 16, 308
joke email announces the Riemann Hypothesis proved 2,3,4,9,12–14, 19, 102, 285, 309
studies the Reimann Hypothesis as a teenager 2–3, 5
Bonne-Nouvelle military prison, Rouen 289, 294, 297, 298
Born, Max 267
Bourbaki group 292, 299, 300–301
Brent, Richard 217
Brewster, Edwin Tenney 176
Brunswick, Carl Wilhelm Ferdinand, Duke of 22, 51, 57
BSI (German Security Agency) 231, 240, 250
Cameron, Michael 209
Cantor, Georg 185–6, 201, 202
Carr, George 132, 133
Carroll, Lewis 82, 283
Cartan, Elie 289, 290, 295–6, 297
Cartan, Henri 297
Castelnuovo, Guido 296
Catherine the Great 41, 42, 43
Cauchy, Augustin-Louis 65–6, 70–71, 72, 75, 81, 84, 103, 113, 194, 289, 291
Central Limit Theorem 176, 177
Ceres 19, 20, 49, 54, 57
Certicom 249, 252–3
Changeux, Jean-Pierre 7
chaos theory 276, 280
Chebyshev, Pafnuty 104, 164, 168
Chinese 22–3
Chladni, Ernst 265, 266
Choquet, Gustave 288
Chowla, Saravadam 170, 171, 263
Church, Alonzo 187
Churchill, Sir Winston 175
Class Number Conjecture 257–8
Clay, Landon T. 14–17, 33, 242, 246, 252
clock calculator 20–22, 29, 30, 74, 76, 168, 232–5, 238, 239, 240, 249, 295
Cohen, Paul 16, 201–2, 282, 304, 308
Cold War 199
Cole, Frank Nelson 224–5, 236, 244
computers 193, 203, 204–23, 311
Connes, Alain 3, 4, 7, 14, 16, 288–9, 305–9, 311
Conrey, Brian 173, 281, 283–5
Cray computers 207, 208, 220–21, 270
Cray Research 207, 208, 209
Critical line 99
cryptography 224–54
d’Alembert, Jean Le Rond 111
Davenport, Harold 126
Davis, Martin 198
de la Vallée-Poussin, Charles 106, 117, 127, 128, 168, 172, 311
De Morgan, Augustus 43
Decision Problem (Hilbert) 184, 186, 187, 188, 197
Dedekind, Richard 73, 106, 151, 153
Deligne, Pierre 16, 146
Descartes, René 62, 70, 111
Deuring, Max 258
Diaconis, Persi 271–5, 273
Diderot, Denis 42–3
Dieudonné, Jean 292
Difference Engine (Babbage) 189
Diffie, Whit 226–9
Diophantus 29
Lejeune-Dirichlet, Rebecka 75
Dirichlet, Peter Gustav Lejeune 64, 65, 73, 75, 76, 81, 82, 83, 100, 102, 106, 116, 134, 150, 155, 168–9
Dirichlet’s Theorem 81, 168–9
Doxiadis, Apostolos 15
Drazin, Philip 286
Dyson, Freeman 262–4, 267, 269, 275, 312
e-business 11, 74, 241, 246, 253
ECC Central 249, 250
Eddington, Arthur 110, 128
Egypt/Egyptians 67, 94
Einstein, Albert 2, 74, 161, 162, 166, 179, 307
Theory of Relativity 100, 289
electromagnetism 73–4
Electronic Frontier Foundation 209
electrons 265, 267, 268, 277
elliptic curves 246, 249, 251–2, 253
Encke, Johann 55, 56, 72
Enigma code 175, 190–91, 192, 205, 206, 225, 226, 242
equations 107, 113, 114, 193, 197–201, 295, 296
Eratosthenes 23, 239
erbium 264
Erdos, Paul 162–5, 168–71, 173, 176, 209, 219, 238, 245, 262, 311–12
Euclid 36–8, 37, 58, 61, 76, 81, 102, 109, 110, 111, 163, 178, 204, 205, 209, 243, 292, 301, 310
algorithm 16
Euler, Leonhard 41–5, 42, 57, 71–2, 77, 79–80, 86–9, 93, 97, 102, 104,105, 106, 113, 133, 135, 150, 162, 200, 223, 233, 235, 266
Euler’s product 17, 80–81, 89
Faber & Faber 15–16
Faber-Bloomsbury Goldbach prize 15–16
factorising numbers 236–8, 257–8, 259, 261
Felkel, Antonio 47
Feller, William 272
Fermat, Pierre de 5, 22, 29, 39–41, 44, 68, 76, 101, 122, 133, 136, 154, 168, 223, 231, 232, 233, 238, 292
Factorisation Method 238–9
Last Theorem 5, 12–16, 29, 33, 34, 44, 101, 113–14, 115, 118, 119, 136, 171, 193, 228, 233, 248, 251, 282, 289, 296, 298, 308
Little Theorem 8–9, 232, 233, 235, 238, 244
Feynman, Richard 262, 263, 285
Fibonacci, Leonardo 25–6
Fibonacci numbers 25, 26, 27, 142, 204, 206
Fields, John 16
Fields Medals 16, 146, 172, 202, 246, 289, 302
First World War 144, 145, 148, 155, 292
Five Hysterical Girls Theorem, The (off-Broadway show) 224
Flannery, Sarah 246–8, 249
Four-Colour Problem 210–12, 210
Fourier, Joseph 60, 93–6, 291
Fourier series 17
fourth dimension 84, 85
fractions 67
Frederick Barbarossa, Emperor 1–2, 115
Frederick the Great 41
French mathematical tradition 69–70, 72, 108
French Revolution 17, 53, 60, 94, 119, 291
Frenicle de Bessy, Bernard 233
Frey, Gerhard 204
Fry, John 281, 284
Fry Electronics 281, 282
Fuld, Caroline Bamberger 160
functions 71–2
Gage, Paul 207, 208
Galileo Galilei 269
Gandhi, Mahatma M.K. 293
Gardner, Martin 230–31, 236
Gauss, Carl Friedrich (main references) 21, 26, 52
background and childhood 20
Class Number Conjecture 257–8
clock calculators 20–22, 29, 30, 74, 232, 233, 234, 249, 295
death 74
director of Göttingen Observatory 57–8
discovery of Ceres’ path 19–20, 24, 49, 54, 64
discovery of a pattern in primes 47–51, 57
failure to disseminate his discoveries 20, 52–3
geometry 109–10, 202
and Germain 193–4
imaginary numbers 69, 71, 84, 85, 221, 257–8, 260–61
lateral thinking 25
logarithms 46–7, 55, 62, 72, 74, 91, 206
methods outstrip Legendre’s 56–7
patronage 22, 51–2
prime motivation 52
Prime Number Conjecture (later Theorem) 49, 53–4, 54, 57, 82, 83, 89, 90, 91, 97, 100, 103–6, 117, 134, 138, 142, 164–8, 170–73, 176, 243, 262, 270, 281, 291, 295, 308, 310–13
second conjecture 57, 128–30
stresses the value of proof 51
triangular numbers 25, 26, 26, 29, 32, 52
and Weber 73–4
Dirichlet succeeds 75
Gaussia 75
Gaussian integers 17
geometry 4, 61, 62, 67, 70, 74, 84, 87–8, 100, 109–13,178, 180, 202, 282, 289, 300, 306–7, 313
algebraic 296, 298, 302, 305, 306
Cartesian 111
non-commutative 288–9, 305, 309
Germain, Sophie 193
Germain primes 193
German Mathematical Society 108
Germany: educational revolution 60, 72
hyperinflation 118
Nazi 156
Ghosh, Amit 283
Gödel, Kurt 1, 2, 177, 178–84, 179, 187, 196, 197, 201, 256, 257, 263, 302, 312
Incompleteness Theorem 181, 182, 184, 186, 190
Gödel numbering 17, 181
Goethe, Johann Wolfgang von 59
Goldbach, Christian 44
Goldbach’s Conjecture 15–16, 31, 115, 141, 143, 158, 181, 182, 183, 256
golden ratio 27
‘golden shield’ 253
Gonek, Steve 284, 285
Göttingen 62–4, 106, 118–9
Göttingen Library 73, 151, 154, 286–7
Göttingen Observatory 57
‘Göttingen Seven’ 74
Gowers, Timothy 246
Graff, Michael 239
Grand Prix des Sciences Mathématiques (Paris Academy) 95, 104–5, 108, 116
Great Internet Mersenne Prime Search (GIMPS) 208
Greeks 20, 23, 29, 32, 34–5, 36, 41, 51, 61, 67, 68, 81, 84, 105, 106–7, 109, 110, 169, 178, 181, 194, 224
Greene, Graham 34
Griffith, C.L.T. 135
Grothendieck, Alexandre 16, 298, 299–306, 300, 303, 308
Guthrie, Francis 210, 211
Hadamard, Jacques 105, 106, 117, 127, 128, 134, 168, 172, 291, 311
Hajratwala, Nayan 209
Haken, Wolfgang 211, 212
Hardy, G.H. 11, 17, 30–31, 33, 38–9, 78, 119–23, 124, 153, 162–3, 165, 175, 212–13, 301, 313
on the difficulty of the primes 132
and Landau 155
and Littlewood 123–8, 132, 137–8, 143, 147, 152, 158–9, 170, 177, 256, 259, 260, 283
and Ramanujan 136–47, 158, 162
and Riemann Hypothesis 120, 121–2, 125–6, 150, 188, 312
and Skewes Number 129
and Turing 187, 188, 190
on uselessness of mathematics in real world 222–3, 250
Hardy-Littlewood Circle Method 17, 143
harmonic series 79, 80
Hasse, Helmut 251
Hawking, Stephen 84, 180
Hecke, Erich 258
height function 253
Heilbronn, Hans 128, 258
Heisenberg, Werner 267
Uncertainty Principle 180, 305
Hellman, Martin 227–8, 228, 229
Hermite, Charles 103, 104–5
Heuser, Ansgar 231, 240
Hewlett-Packard 12, 280, 281, 311
Hilbert, David 102, 106–16, 107, 108–9, 118, 125, 128, 148, 153, 155–6, 175, 191, 193, 291
brings best mathematicians to Göttingen 118, 119
death 156
Decision Problem 184, 186, 187, 188, 197
equations 107, 114, 193, 197–8, 199
geometry 109, 110–11, 178, 180
and Gödel 178, 179, 180, 182
and Hardy 119–20
lecture to International Congress of Mathematicians 1, 2, 112–15, 183–4
and a new approach 14–15, 112
and Noether 194
and Riemann Hypothesis 1–2, 17, 106, 114, 115, 243, 312
sets twenty-three problems 1–2, 113–15, 282
and Siegel 149, 152
tenth problem 114, 183, 197–9
Hilbert space 16
Hill, M.J.M. 135, 136
Hindu mathematicians 68
Hitler, Adolf 155, 160, 251, 291, 293
Hodges, Andrew 190
Humboldt, Alexander von 64, 75
Humboldt, Wilhelm von 59, 60, 64, 237
hydrogen 268
Hyperion (a satellite of Saturn) 24
imaginary numbers 66–72, 70, 81, 82, 84, 85, 86, 88, 103, 113, 115, 119, 221, 251, 257–8, 259, 261, 266, 267, 286, 287, 289, 300
infinities 185–6
Ingham, Albert 188, 283
Institut des Hautes Etudes
Scientifiques, Paris 299, 303
International Congress of Mathematicians 1, 2, 3, 16, 17, 112, 115, 172, 183–4, 208
Internet 11–12, 74, 225–32, 247
irrational numbers 6, 67, 68, 68
Ishango bone 22
Iyer, Ganapathy 136
Iyer, Narayana 139
Jacobi, Carl 59–60, 75, 139
Jacquard weaving looms 189–90
James, Henry 34
Jordan, Camille 123
Kabalah 240
Kac, Mark 165
Kant, Imannuel 112
Katz, Nick 308
Kayal, Neeraj 245
Keating, Jon 283, 284, 285–7
Kelvin, Lord 95
Kingsley, Ben 240
Klein, Felix 108, 150, 153
Klondike (Idiot’s Delight) card game 274–5, 274
Koblitz, Neal 248–9, 250, 253
Königsberg (later Kaliningrad) 43, 106, 108, 178
Krieger, Samuel I. 196
Kulik, Jakub 56
Kummer, Ernst 150
Lagrange, Joseph-Louis 65, 301
Landau, Edmund 116–18, 117, 128, 132, 137, 143, 148–9, 152–5, 301
Landau, Leopold 148
Landau, Lev 268–9, 270
Lascar, Larry 240
Legendre, Adrien-Marie 53, 54, 56–7, 60, 62, 95, 132, 261–2
Lehmer, Derrick H. 196, 204, 206, 207, 215
Lehmer, D.N. 196, 204, 205–6
Leibniz, Gottfried 77–8, 119
Lenstra, Arjen 239
Lenstra, Hendrik 218, 237
Levinson, Norman 172–3
Leyland, Paul 239
Lindeberg, J.W. 176, 177
Linnik, Yu. V. 201
Littlewood, J.E. 123–30, 124, 132, 212–13, 222, 261, 313
and Hardy see under Hardy, G.H.
and Ramanujan 134, 135, 137–41, 143
and the Riemann Hypothesis 150, 160
Lobachevsky, Nikolai Ivanovic 110
logarithms 46–9, 55, 62, 72, 74, 91, 104, 105, 168, 189, 206
Logue, Donal 240
Louis XV, King of France 41
Louis XVI, King of France 41
Lovelace, Ada 190
Lucas, Édouard 205, 206
Lucas-Lehmer numbers 206, 207
m-commerce 248
Manasse, Mark 239
mathematics: a creative art under constraints 34
irrespective of race 184, 199
plunged into crisis 156
pursuit of order 6
Matijasevich, Yuri 198–9, 201
Mendeleev, Dmitri 23, 32, 36–7
Mendelssohn, Felix 75
Mersenne, Marin 40, 41, 44, 93, 204–5
Mersenne primes 17, 206–9, 224, 236
Mertens Conjecture 219, 221–2
Miller-Rabin test 245
Millennium Problems and Prizes 14–16, 33, 242, 246, 250, 252
Miller, Gary 245
Miller, Victor 248
Minkowski, Hermann 108, 114, 116, 211
MISPAR (a computer language) 4
modular arithmetic 9
Monbeig, M. 290
Montgomery, Hugh 254, 255–64, 267, 269–72, 275, 278, 307, 312
Mordell, Louis 258
Motchane, Léon 299, 303
music 77–9, 84, 125
‘music of the spheres’ 77
of the primes 93–7, 310, 311
Riemann’s 278–9
Nachlass 151–153, 286–287
Napier, Baron John 46
Napoleon Bonaparte 17, 53, 57, 59, 60, 64, 78, 94, 96, 265, 266, 289, 299, 311
Nasar, Sylvia 304
Nash, John Forbes 304
National Bureau of Standards’ Institute for Numerical Analysis 207
National Physics Laboratory, Teddington, Middlesex 191
National Security Agency (NSA) (US) 12, 249
NATO 302
negative numbers 67–8, 68
neutrons 265, 268
Nevanlinna, Rolf 294
Neville, E.H. 139, 140–41
Newman, Max 183, 184, 186, 187, 191, 204,207
Newton, Sir Isaac 119, 123, 269
Noether, Emmy 194
non-communicative space of Adele classes 307
Norwegian Mathematical Society 157
Nth Fermat number 39
nucleus 264–5
Occam’s razor 215
Odlyzko, Andrew 220, 221–2, 221, 253, 254, 270, 271, 272, 275–6, 278, 279, 280, 312
Oppenheimer, Robert 263
parallel lines 109–10
particle accelerators 270
particle physics 4
partition function 143
partition numbers 141–3, 142, 158
Periodic Table of chemical elements 23, 32, 36, 224, 264, 265, 268
Peter the Great 41
physics 74, 84
pi (film) 28
Piazzi, Giuseppe 19
planetary orbits 188
Poincaré, Henri 1, 6
Pomerance, Carl 238–9, 240, 245
Prime Number Conjecture (later Theorem) see under Gauss, Carl Friedrich
prime numbers: apparent randomness 5, 6, 7, 9, 47
and cicadas 27–8
definition 5
Fermat’s Little Theorem see under Fermat, Pierre de
and Germany’s educational revolution 60
hunting for 38–41
importance to mathematics 5
infinity of 36, 76, 81, 106–7, 163, 205, 310
largest known 204, 205, 207, 208, 209
list of 5–6, 5, 22, 23, 24, 37, 199
and logarithms 46–9, 55, 62, 72, 74, 104, 105, 168, 206
and longevity 311–12
masters of disguise 130
music of 93–7, 310, 311
Riemann’s formula for the number of 89, 90–91, 90
story of primes as a social mirror 34
tables of 47–8, 48, 205–6
an unanswered riddle 314
probability theory 165, 166, 272, 313
Problem of the Bridges of Königsberg 43, 44, 106
Project Orion 263
protons 265, 268
Proust, Marcel 255
Prussia 59
Pryce, Maurice 187
Ptolemy I 36
Putnam, Hilary 198
Pythagoras 67, 77, 78, 93
Pythagoras’ theorem 67
quadratic sieve 238–9, 240
quantum billiards 275–80, 277, 282, 288
quantum chaos 279, 280, 281, 283, 298, 307, 311
quantum mechanics 279
quantum physics 4, 117, 166, 263, 264, 266, 267, 269, 273, 276, 280, 284, 286, 296, 305, 306, 307,311, 313
Rabin, Michael 245
Rademacher, Hans 158
Ramanujan, Srinivasa 27, 132–47, 133, 157–8, 164, 245, 262, 294
Ramanujan’s Tau Conjecture 16, 146
Rameau, Jean-Philippe 77
real numbers 68, 68, 69, 85
Redford, Robert 240
Reid, Legh Wilber 102
Ribenboim, Paulo 245
Riemann, Bernhard (main references) 63, 286–7
creates the Hypothesis 9
and Dirichlet 168
education 61–5, 72–5, 84
formula for number of primes 89, 90–91, 90
geometry 74, 113, 289, 307
imaginary numbers 66, 84, 88, 251, 286, 287
influences 61–2, 63, 66, 75–6, 82, 132
mathematical looking-glass 9, 90, 99, 167, 168
notebook 153–4
order out of chaos 97–101
paper on prime numbers 82–3, 84, 96, 100, 103, 106, 149, 150, 153
perfectionism 61, 82, 101
rescued notes 101, 151
Siegel discovers his secret formula 152–3, 213
succeeds Dirichlet 83, 100
visits Italy 100–101
and zeta function 81–2, 84–7, 137
Riemann, Elise (née Koch) 100, 101, 151
Riemann Hypothesis 33, 166, 176
assumed to be true 130, 131, 143
Bombieri’s interest see under Bombieri
Cohen and 202
and commercial interest 11, 12
Connes’ work 3, 4, 288–289, 305, 307–9
Hilbert and 1–2, 114, 115, 243
importance 138–9
Landau’s criticism 149–50
a Millennium Problem 14, 15, 309–10, 312
probabilistic interpretation of 167
proof issue 4, 5, 9–10, 11, 14, 17, 18, 114–15, 159–60, 171–5, 178, 181, 182, 183, 188, 192, 196, 204, 212–16, 218–19, 222, 243, 245, 279, 281, 287, 288, 290, 294,297, 298, 301–2, 304, 307–10, 312,313
published 83
Selberg on 159–60, 173–4
Stieltjes’ claim 103
Rivest, Ron 11, 227–31, 229, 233–6, 238, 239, 242, 244, 249–50
Robinson, Julia 193–9, 195, 201, 202, 204, 205
Robinson, Raphael 196, 197, 207
Rota, Gian-Carlo 172
Royal Society 145, 189, 190
Computing Laboratory 191
RSA 12, 230, 231, 232, 235–9, 241–4, 246–50, 252, 253
ECC Central 249, 250
RSA 129 challenge 236–7, 239
RSA 155 challenge 240
Russell, Bertrand 128, 136, 138, 144, 178
Sacks, Oliver 8, 9, 39
Sagan, Carl 1, 7–8, 9, 28, 271, 280
Sarnak, Peter 127, 224, 281–3, 287, 296, 298, 307, 308, 309
Saxena, Nitin 245
Scandinavian Congress of Mathematicians (Copenhagen, 1946) 159
Schmalfuss (director of the Gymnasium Johanneum) 60–61, 63
Schneier, Bruce 242
Schoenberg, I.J. 154
Schrödinger, Erwin 284
Schwartz, Laurent 172
Science Museum, London 189
Second World War 154, 155–6, 160, 174, 175, 190, 192, 225, 241, 263, 289, 293–4
Selberg, trace formula 17
Selberg, Atle 16, 156–60, 157, 162, 167–74, 176, 177, 212–13, 261, 262, 263, 285, 288, 294, 295, 301–2, 307–8, 311–12
Severi, Francesco 296
Shamir, Adi 11, 228–9, 229, 230, 236, 238, 249
Shimura, Goro 298
Siegel, Carl Ludwig 148–9, 151–4, 156,188,213,251,297
Siegel zero 17
sieve of Eratosthenes 17, 23, 24, 239
Silverman, Joseph 250, 252, 253
sine function 72
sine waves 95, 96, 188
Skewes, Stanley 129, 130
Skewes Number 129
Slowinski, David 207, 208
Snaith, Nina 284, 285
Sneakers (film) 240, 242
Snow, C.P. 136–7, 147
space, as curved and non-Euclidean 128
spectroscopy 88, 224
Stalin, Joseph 293
Standards Western Automatic Computer (SWAC) 207
Stark, Harold 220, 221
Stieltjes, Thomas 102–5
string theory 306
super-symmetric fermionic-bosonic systems 4
Survive 303
Swinnerton-Dyer, Sir Peter 127, 250–52
Tarski, Alfred 197
te Riele, Herman 217, 218, 222
Teichmüller, Oswald 155
Thomson, J.J. 128
tides 188–9
Titchmarsh, Ted 188, 190, 192
triangular numbers 24–5, 26, 26, 29, 32, 52
trivial zeros 98
Trinity College, Cambridge 122–4, 124, 127–8, 144
Truman, Harry 172
Turán, Paul 169, 170
Turing, Alan 175–7, 177, 227
artificial intelligence 176
at Bell Laboratory 219
and the Enigma code 175, 190–91, 205, 206
and Hardy 187, 188
death 192
homosexuality 192
and the Riemann Hypothesis 175, 188, 191, 212
Turing machines 182–93, 197, 198, 199, 202–3, 204, 207, 213, 215
twin autistic-savants 8–9, 39
Twin Primes Conjecture 39, 181, 257, 258
uranium 268
van de Lune, Jan 219
Vernon, Dai 271–2
Vijayaraghavan 293, 294, 296
Wagner, Richard 59
Waring’s Problem 116
wave equation 266
Weber, Heinrich 154
Weber, Wilhelm 73–4
Weil, André 31, 180, 288–300, 293, 302, 305, 306, 308
Weyl, Hermann 160, 171
Wigner, Eugene 268–9, 270
Wiles, Andrew 4–5, 12–17, 29, 34, 115, 118, 171, 248, 251, 252, 282, 298, 313
William of Occam 215
Wittgenstein, Ludwig 128
Wolfskehl, Paul 15, 118
Wolfskehl Prize 15, 136
Woltman, George 208
Zagier, Don 213–19,214, 217, 252, 278
Zeilberger, Doron 309
zeta function 76–82, 84–6, 86, 88, 89, 128, 137, 144, 153, 158, 167, 168, 190, 220, 251, 258, 273, 283, 295