scholarly journals Explicit constructions and the arithmetic of local number fields

2017 ◽  
Vol 50 (3) ◽  
pp. 242-264 ◽  
Author(s):  
S. V. Vostokov ◽  
S. S. Afanas’eva ◽  
M. V. Bondarko ◽  
V. V. Volkov ◽  
O. V. Demchenko ◽  
...  
Keyword(s):  
Number Fields ◽  
Explicit Constructions ◽  
Local Number

scholarly journals Explicit constructions and arithmetic of local number fields

2017 ◽  
Vol 4(62) (3) ◽  
pp. 402-435
Author(s):  
Sergei V. Vostokov ◽  
◽  
Sofia S. Afanaseva ◽  
Mikhail V. Bondarko ◽  
Vladislav V. Volkov ◽  
...  
Keyword(s):  
Number Fields ◽  
Explicit Constructions ◽  
Local Number

Dixon–Selberg summation over local number fields

1992 ◽  
Vol 33 (6) ◽  
pp. 2111-2114
Author(s):  
E. Thiran ◽  
J. Weyers
Keyword(s):  
Number Fields ◽  
Local Number

Biquadratic Extensions with One Break

2002 ◽  
Vol 45 (2) ◽  
pp. 168-179 ◽  
Author(s):  
Nigel P. Byott ◽  
G. Griffith Elder
Keyword(s):  
Number Fields ◽  
Module Structure ◽  
Galois Module ◽  
Galois Module Structure ◽  
Local Number

AbstractWe explicitly describe, in terms of indecomposable ℤ2[G]-modules, the Galois module structure of ideals in totally ramified biquadratic extensions of local number fields with only one break in their ramification filtration. This paper completeswork begun in [Elder: Canad. J.Math. (5) 50(1998), 1007–1047].

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