On the number of solutions of linear equations in units of an algebraic number field.
Displaying 461 – 480 of 569
On the odd part of tame kernels of biquadratic number fields
Haiyan Zhou (2010)
Acta Arithmetica
On the order of Dedekind Zeta-functions near the line σ = 1
W. Staś (1979)
Acta Arithmetica
On the ordinarity of the maximal real subfield of cyclotomic function fields
Daisuke Shiomi (2014)
Acta Arithmetica
The aim of this paper is to clarify the ordinarity of cyclotomic function fields. In the previous work [J. Number Theory 133 (2013)], the author determined all monic irreducible polynomials m such that the maximal real subfield of the mth cyclotomic function field is ordinary. In this paper, we extend this result to the general case.
On the orthogonal symmetry of L-functions of a family of Hecke Grössencharacters
J. B. Conrey, N. C. Snaith (2013)
Acta Arithmetica
The family of symmetric powers of an L-function associated with an elliptic curve with complex multiplication has received much attention from algebraic, automorphic and p-adic points of view. Here we examine one explicit such family from the perspectives of classical analytic number theory and random matrix theory, especially focusing on evidence for the symmetry type of the family. In particular, we investigate the values at the central point and give evidence that this family can be modeled by...
On the p-adic Leopoldt transform of a power series
Bruno Anglès (2008)
Acta Arithmetica
On the p-adic Waring's problem
José Felipe Voloch (1999)
Acta Arithmetica
On the parity of ranks of Selmer groups. III.
Nekovář, Jan (2007)
Documenta Mathematica
On the parity of the class number of the field
Michal Bulant (1998)
Acta Mathematica et Informatica Universitatis Ostraviensis
On the parity of the class numbers of real abelian fields
Tauno Metsänkylä (1998)
Acta Mathematica et Informatica Universitatis Ostraviensis
On the Pellian equation and the class number of indefinite binary quadratic forms.
Christopher Hooley (1984)
Journal für die reine und angewandte Mathematik
On the periods of the linear congruential and power generators
Pär Kurlberg, Carl Pomerance (2005)
Acta Arithmetica
On the Piltz divisor problem in algebraic number fields
Ulrich Rausch (1994)
Acta Arithmetica
On the Poincaré series for diagonal forms over algebraic number fields
Jun Wang (1993)
Acta Arithmetica
On the power series attached to p-adic L-functions.
W. Sinnott (1987)
Journal für die reine und angewandte Mathematik
On the p-rank of the tame kernel of algebraic number fields.
Jerzy Browkin (1992)
Journal für die reine und angewandte Mathematik
On the prime density of Lucas sequences
Pieter Moree (1996)
Journal de théorie des nombres de Bordeaux
The density of primes dividing at least one term of the Lucas sequence , defined by and for , with an arbitrary integer, is determined.
On the product formula in Galois groups.
Kay Wingberg (1986)
Journal für die reine und angewandte Mathematik
On the product of heights of algebraic numbers summing to real numbers
J. Garza, M. I. M. Ishak, C. Pinner (2010)
Acta Arithmetica
On the product of the conjugates outside the unit circle of an algebraic integer
A. Bazylewicz (1976)
Acta Arithmetica