Bounds for the degrees of CM-fields of class number one
Sofiène Bessassi (2003)
Acta Arithmetica
Similarity:
Sofiène Bessassi (2003)
Acta Arithmetica
Similarity:
Philippe Lebacque, Alexey Zykin (2015)
Acta Arithmetica
Similarity:
We prove lower and upper bounds for the class numbers of algebraic curves defined over finite fields. These bounds turn out to be better than most of the previously known bounds obtained using combinatorics. The methods used in the proof are essentially those from the explicit asymptotic theory of global fields. We thus provide a concrete application of effective results from the asymptotic theory of global fields and their zeta functions.
Gerhard Niklash (1997)
Collectanea Mathematica
Similarity:
D. Heath-Brown (1977)
Acta Arithmetica
Similarity:
Dinesh S. Thakur (1995)
Compositio Mathematica
Similarity:
Stéphane Louboutin (2005)
Journal de Théorie des Nombres de Bordeaux
Similarity:
Lately, explicit upper bounds on (for primitive Dirichlet characters ) taking into account the behaviors of on a given finite set of primes have been obtained. This yields explicit upper bounds on residues of Dedekind zeta functions of abelian number fields taking into account the behavior of small primes, and it as been explained how such bounds yield improvements on lower bounds of relative class numbers of CM-fields whose maximal totally real subfields are abelian. We present...
Farmer, David W. (1995)
The Electronic Journal of Combinatorics [electronic only]
Similarity:
Timothy G. F. Jones (2011)
Acta Arithmetica
Similarity: