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580 INDEX<br />

Couveignes, J., 292, 317, 356<br />

Cox, D., 359, 361<br />

Craig-Wood, N., 539<br />

Cramér, H., 38<br />

Crandall, R., 5, 28–31, 33, 52, 58,<br />

60, 68, 82, 160, 170, 200,<br />

217–219, 235, 238, 254,<br />

256, 257, 259, 315, 333,<br />

343, 345, 346, 381, 396,<br />

414, 427, 437, 456, 458,<br />

473, 476, 478, 483, 485,<br />

488, 491, 494, 496–498,<br />

500, 501, 506, 525, 528–<br />

532, 534, 536, 538<br />

Crandall, R. (with Borwein et al.),<br />

67, 68, 80, 160, 171, 427,<br />

428, 440, 441<br />

Crandall, R. (with Brent et al.), 28,<br />

321, 340–342, 347, 385,<br />

456, 496, 528<br />

Creutzburg, R., 501<br />

cryptography, 3, 93, 110, 319, 321,<br />

323, 324, 334, 347, 358,<br />

363, 374, 387, 393, 404,<br />

460, 463, 535<br />

DES, 388, 394<br />

Diffie–Hellman, 387, 388<br />

DL, 235<br />

DSA, 394<br />

ECDSA, 393, 394<br />

El Gamal, 394, 395<br />

elliptic curve (ECC), 391, 392,<br />

394, 395, 437<br />

elliptic embedding, 394<br />

elliptic signature, 393<br />

protocols, 396<br />

public-key, 113<br />

RSA, 389<br />

RSA signature, 390<br />

SSSA attack, 392<br />

Cullen numbers, 76, 77, 521<br />

Cunningham numbers, 4, 299<br />

Curry, C., 345, 346<br />

Damg˚ard, I., 138, 164<br />

Danielson–Lanczos identity, 478,<br />

480, 483<br />

Darmon, H., x, 417<br />

Davenport, H., 36, 42, 43, 48, 66,<br />

114, 125, 247<br />

Davis, M., 273, 418<br />

Day, T., x<br />

de la Vallée Poussin, C., 10<br />

De Win, E., 381, 453, 458, 536<br />

Deléglise, M., 11, 68, 152, 158<br />

Delescaille, J.-P., 234<br />

Denny, T. (with Schirokauer et<br />

al.), 306, 387<br />

Deshouillers, J., 19<br />

Deuring theorem, 333, 334<br />

Deuring, M., 333, 334<br />

Deutsch, D., 420<br />

Dewaghe, L. (with Couveignes et<br />

al.), 356<br />

Dickman<br />

function, 49, 155<br />

theorem, 48, 49<br />

Dickson, L., 17<br />

Diffie, W., 387<br />

Diffie–Hellman key exchange, 387–<br />

389, 391<br />

Dilcher, K., x, 31, 316<br />

Dilcher, K. (with Brent et al.), 28,<br />

321, 340–342, 347, 385,<br />

456, 496, 528<br />

Dilcher, K. (with Crandall et al.),<br />

31, 33, 82, 200, 381, 534<br />

Dimitrov, V., 530<br />

Ding, C., 87, 113<br />

Diophantine analysis, 106, 107, 223,<br />

415, 417, 418, 426, 434,<br />

435, 492<br />

Dirichlet, 35, 41<br />

L functions, 39, 41, 42<br />

characters, 39–42, 194, 211<br />

class number formula, 247, 248,<br />

255<br />

theorem, 12, 17, 18, 35, 41, 57,<br />

289<br />

discrepancy theory, 404

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