Index 369
obius, A. F., 31
first inversion formula, 18
function, 18
second inversion formula, 19
Montgomery, H. L., xiv, 29, 30, 67, 102,
154, 223
Moore, E. H., 99
Mordell, L. J., 149, 269
Moroz, B. Z., 101
Mostert, M., 144
Mozzochi, C. J., 29, 32
Mukhopadhyay, M., 105
multiplicative arithmetic function, 16
Mumford, D., 223
Nagell, T., 83, 116
Narkiewicz, W., xiv
neighborhood method, 41
Newman, D. J., 64, 287
Noether, A. E., 99
nome, 249
noneffectiveness in number theory, 194
nonprincipal character, 85
normal order, 46
method, 46
of log(d(n)), 49
of Ω(n), 48
of ω(n), 47
notation
Bachmann big-O, 7
Hardy, 7
Landau small-o, 7
Vinogradov, 7
Oesterl´ e, J., 205
order of an arithmetic function
average, 24
maximal, 21
minimal, 21
normal, 46
order of an entire function, 237
Page, A., 147, 205
Paley, R. E. A. C., 102
partial summation, 10
partition function, 104
Patterson, S. J., 102
perfect number, 38
periodization of a function, 214
Perron, O., 166
Perron formula, 160
Perrott, J., 33
Peter, F., 99
Piatetski-Shapiro, I. I., 101
Pil’tja˘
i, G. Z., 30
Piltz, A., 103
Pintz, J., 29, 30
Plancherel, M.
formula, 81, 82
PNT, 1
Poisson, S. D.
multivariable summation formula, 215
summation formula, 214
de Polignac, A., 29
olya, G.
-Vinogradov inequality, 93, 102
Pomerance, C. B., 30, 34
primary factor, 235
Prime Number Theorem, 1, 5, 10, 42,
170, 173
primitive character, 91
principal Dirichlet character, 85
principle
maximum, 196
of inclusion and exclusion, 28
problem
binary Goldbach, 28, 145
Dirichlet divisor, 24, 32
Riemann Hypothesis, 245
ternary Goldbach, 145, 147, 155
twin prime, 28, 101
Waring’s, 112, 148
Pythagorean triples, 111
Rademacher, H., 145
radical of an integer, 16
Ram Murty, M., 28
Ramanujan, S. A., 6, 31, 46, 55, 89, 179
Circle Method, 144
Ramanujan sum, 102
rank of an entire function, 238
Rankin, R. A., 28, 30, 55, 105
regulator of a number field, 267
relative error, 1
representation
induced, 293
space, 71
RH, 245
Ricci, G., 30
Richert, H.-E., 55
te Riele, H., 154
Riemann, G. F. B., 166, 244
completed zeta function, 230
-Lebesgue Lemma, 180
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