Index 371
Prime Number Theorem, 1, 2, 5, 10,
42, 159, 170, 173
Schur orthogonality, 75
Schur’s Lemma, 74
second mean value, 35
Siegel, 193
Siegel-Walfisz, 204
uniqueness of Dirichlet series, 67
theta function, 216, 249
theta-constant, 219, 249
Titchmarsh, E. C., 67, 177, 178
totally additive function, 16
totally multiplicative function, 16
Touchard, J., 38
transform
finite Fourier, 69
Fourier, 8, 213
Fourier transform on a group, 79
Mellin, 227, 251, 315
Trifonov, O., 55
trigonometric basis functions, 209
trivial group character, 76
trivial zeros of the zeta function, 230
truncated explicit formula, 310
Tur´ an, P., 43, 46, 55
twin prime problem, 28, 101
uniformity of estimates, 7
unit disk, 206
unordered sum or product, 59
upper half plane, 216
de la Vall´ ee Poussin, C. G. J. N., 1, 159,
177
valuation, 247
Vaughan, R. C., 30, 102, 143, 148, 155
Vinogradov, I. M., 103, 143, 146, 155,
178
notation, 7
olya-Vinogradov inequality, 93, 102
Voronin, S. M., 323
Voronoi, G. F., 32
Walfisz, A. Z., 55, 147
Siegel-Walfisz theorem, 204
Waring, E.
Hilbert-Waring theorem, 143
Waring’s Problem, 112, 148
Warning, E.
Chevalley-Warning theorem, 151
Weber, H. M., 99, 100
Dedekind-Weber estimate, 285
Weierstrass, K. T. W., 252
primary factor, 235
Weil, A., 144, 315
Weiss, G. M., 216
Westzynthius, E., 30
Weyl, H. K. H., 99, 145, 147
Weyl differencing, 132
Weyl sum, 130
Weyl’s inequality, 132
Whaples, G. W.
Artin-Whaples product formula, 247
Wieferich, A., 148
Wielandt, H., 224
Wigert, S., 31
Williams, K. S., xiv
Wintner, A. F., 43
Wooley, T. D., 112, 149
Wright, E. M., xiv
Wu, J., 101
Yao, Q., 29
Yıldırım, C. Y., 30
Zagier, D., 205
Zeitz, H., 30
zeta function
Dedekind, 256
Lerch, 251
Riemann, 62
Zhang, Y., 30
Zinoviev, D., 154
Zygmund, A. S., 216
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