Brauer's class number relation
C. Walter (1979)
Acta Arithmetica
Similarity:
C. Walter (1979)
Acta Arithmetica
Similarity:
F. Lemmermeyer, S. Louboutin, R. Okazaki (1999)
Journal de théorie des nombres de Bordeaux
Similarity:
We determine all the non-abelian normal CM-fields of degree 24 with class number one, provided that the Galois group of their maximal real subfields is isomorphic to , the alternating group of degree and order . There are two such fields with Galois group (see Theorem 14) and at most one with Galois group SL (see Theorem 18); if the generalized Riemann hypothesis is true, then this last field has class number .
Ted Chinburg, Eduardo Friedman (2000)
Annales de l'institut Fourier
Similarity:
Given a maximal arithmetic Kleinian group , we compute its finite subgroups in terms of the arithmetic data associated to by Borel. This has applications to the study of arithmetic hyperbolic 3-manifolds.
Hans Roskam (2002)
Journal de théorie des nombres de Bordeaux
Similarity:
Fix an element in a quadratic field . Define as the set of rational primes , for which has maximal order modulo . Under the assumption of the generalized Riemann hypothesis, we show that has a density. Moreover, we give necessary and sufficient conditions for the density of to be positive.
Heima Hayashi (1986)
Acta Arithmetica
Similarity:
J. E. Carroll, H. Kisilevsky (1976)
Compositio Mathematica
Similarity:
James S. Kraft, René Schoof (1995)
Compositio Mathematica
Similarity:
Andrzej Schinzel (1966)
Acta Arithmetica
Similarity:
Masahiko Fujiwara (1973)
Acta Arithmetica
Similarity: