INDEX
A
Abatzoglou, A., 346
Abelian extension, see Field, extension
Affine space, 284
Algebraic groups, 115
Approximation Theorem, 331
Arndt, F., 64
Artin map, 97–98, 107, 109–112, 114, 144–148, 150, 152, 154–155, 163, 164, 172, 218
idelic, 156–157, 312, 322, 326
Artin Reciprocity Theorem, see Class field theory, Artin Reciprocity Theorem
Artin symbol, 95–97, 106, 111, 145–146, 150, 153, 155, 171. See also Artin map
relation to Legendre symbol, 96, 106, 150
Associate, 6, 68
Atkin, A. O. L., 297, 303–304, 343
B
Bachmann, P., 57
Baker, A., 4, 135, 226, 247, 335
Belding, J. V., 345
Berndt, B. C., 79, 261, 343, 345
Biermann, K. R., 335
Biquadratic reciprocity, see Reciprocity, biquadratic
Birch, B. J., 227, 240, 247, 335
Borevich, Z. I., 53, 88, 90, 93, 119, 129, 134, 335
Bröker, R., 345
Burde, K., 345
C
Calculus of finite differences, 11, 19
Cassou–Noguès, P., 220, 297, 336
Čebotarev Density Theorem, 4, 144, 152–155, 160, 162, 171, 176
Chan, H. H., 346
Chandrasekharan, K., 187, 252, 336
Character:
assigned, 49–50, 52, 62–63, 113
biquadratic, 75
complete, 52
group, 52
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