Correction to the paper "Hasses's principle for simple algebras over function fields of curves. I".
Correction to the paper "On a conjecture of D. H. Lehmer", Acta Arith. 42 (1982), pp. 97-100
Correction to the paper "On class numbers of some cyclotomic fields".
Correction to the paper "Splitting fields and group characters".
Correction to the paper "Structure theorems for radical extensions of fields", Acta Arith. 38 (1980), pp. 111-115
Corrections to "Irreducibility of the iterates of a quadratic polynomial over a field" (Acta Arith. 93 (2000), 87-97)
Correspondencia entre formas ternarias enteras y órdenes cuatemiónicos.
Corrigendum à «Classes logarithmiques signées des corps de nombres»
Nous corrigeons une erreur contenue dans un article précédent où sont données deux définitions prétendument équivalentes du -groupe des classes logarithmiques signées d’un corps de nombres.
Corrigendum and addendum to the paper "Reducibility of quadrinomials" (Acta Arith. 21 (1972), 153-171)
Corrigendum to "Norm residue symbol and cyclotomic units" (Acta Arith. 73 (1995), 147-188)
Corrigendum to the paper "An extension of a result of C. J. Smyth to polynomials in several variables" Acta Arith. 50 (1988), 211-214
On page 211, line 9, and on page 213, line -6, the assumption should be added that F is not the product of generalized cyclotomic polynomials.
Corrigendum to the paper "Diophantine equations in cyclotomic fields".
Corrigendum to the paper "On a theorem of Bauer and some of its applications" (Acta Arithmetica 11 (1966), pp. 333-344)
Corrigendum to the paper "On the 2-primary part of a conjecture of Birch and Tate" (Acta Arith. 43 (1983), 69-81)
Counting certain number fields with prescribed l-class numbers.
Counting cyclic quartic extensions of a number field
In this paper, we give asymptotic formulas for the number of cyclic quartic extensions of a number field.
Counting discriminants of number fields
For each transitive permutation group on letters with , we give without proof results, conjectures, and numerical computations on discriminants of number fields of degree over such that the Galois group of the Galois closure of is isomorphic to .
Counting exceptional units.
Counting invertible matrices and uniform distribution
Consider the group over the ring of algebraic integers of a number field . Define the height of a matrix to be the maximum over all the conjugates of its entries in absolute value. Let be the number of matrices in with height bounded by . We determine the asymptotic behaviour of as goes to infinity including an error term,with being the degree of . The constant involves the discriminant of , an integral depending only on the signature of , and the value of the Dedekind zeta function...
Counting points of fixed degree and bounded height