Index A boldface numbe r indicate s a princip a A Aardenne-Ehrenfest, T . va n 120 , 122 Abramowitz, M . 114 , 12 2 adjoint 13 4 almost periodi c 12 5 Alon, N . 3 7 Andria, G . D . 19 0 Ankeny, N . C . 176 , 177 Aparicio, E . 188-19 1 Arkhipov, G . I . 8 2 asymptotic densit y upper 3 4 Atkinson, F . V . 104 , 10 5 B Bachelis, G . F . 144 , 14 6 Baker, R . C . vi, 37, 81, 82, 160 , 204 Balkema, A . A . 103-10 5 Barker polynomia l 20 7 Barnsley, M . F . 189 , 19 1 Bateman, P . T . v i Beck, J . v , vi, 120 , 122 , 123 , 195, 198, 206, 21 0 Bernstein's inequalit y 2 6 Berry, M . V . 6 1 Bertin, M . J . 205 , 210 Bertrandias, J.-P . 37 , 38 Bertrand-Mathis, A . 37 , 38 Bessel functio n 111-11 4 Beurling, A . 1 4 function 1 4 polynomial 5 , 1 4 binary weigh t 20 8 Biro, A . 10 4 Blanksby, P . E . 104 , 10 5 2 reference, o r a reference t o a definition . Boas, R . P . 144 , 14 6 Bohr, H . 20 6 Bombieri, E . 59 , 61, 62, 81, 82, 176 , 177 Bourgain, J . vi , 34 , 37, 38, 142 , 14 6 Boyd, D . W. 205 , 210 Bruijn, N . G . d e 103 , 105 Bundschuh, P . vi , 18 8 Byrnes, J . S . 206 , 210 C Cantor, D . C . 205 , 210 Cassels, J . W . S . 14 , 15 , 104, 105, 202-204, 21 0 Chandrasekharan, K . 14 , 15 , 81, 82 character sum s 20 2 Chebyshev, P . L. 188 , 19 1 inequality fo r polynomial s 9 5 prime numbe r estimate s 45 , 179, 188 Chen, W . W . L . 120-123 , 198 , 210 Chudakov, N . G . 176 , 17 7 Chung, Fa n 20 2 circle group 1 Cochrane, T . v , v i Cohn, H . 20 2 Conrey, J . B . vi Cook, R . v i Cordoba, A . 20 7 Corput, J . G . va n de r 17 , 18, 20, 38, 60, 61, 120, 12 3 Lemma 18-20 , 39 , 46 Generalized 1 8 method 39 , 46-61, 19 7
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