Index
ABC conjecture, 55
Abel, N. H., 31
abscissa
of absolute convergence, 66
of convergence, 65
additive arithmetic function, 16
almost all positive integers, 44
analytic class number formula, 267
analytic continuation
of Dirichlet L-functions, 162, 231
of the zeta function, 162, 229
arithmetic function, 3, 16
Artin, E.
-Whaples product formula, 247
conjecture, 302
factorization, 301
L-function, 296
asymptotic density, 43
asymptotic equality, 1
asymptotische Gesetz, 31
average order of a function, 24
Ax, J., 151
Bachmann, P. G. H., 99
big-O notation, 7
Backlund, R. J., 30
Baker, R. C., 29, 143
Balasubramanian, R., 148
Balazard, M., 58
basis functions
trigonometric, 209
Bateman, P. T., 101, 102
Bauer, M.
theorem of, 268
Bell, E. T., 31
Berg, M. C., 244
Berline, N., 223
Berndt, B. C., xiv
Bertrand, J. L. F.
Bertrand’s Postulate, 6
Bessel’s inequality, 210
binary quadratic form, 100
Birch, B., 149
block divisor, 36
Bohr, H. A.
-Landau theorem, 323
Bombieri, E., 30
Borel, E., 205
Borel, F. E. J. E.
-Carath´ eodory lemma, 197
Borevich, Z. I., 116
Bost, J.-B., 223
Brauer, A. T., 30
Brauer, R. D., 149
Browning, T. D., 143
Brun, V., 28, 151
Bugaev, N. W., 31, 55
Burgess, D. A., 103, 109
Burnside, W., 99
Cahen, E., 99
canonical
factorization, 238
product, 238
Carath´ eodory, C.
Borel-Carath´ eodory lemma, 197
363
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