AbstractFor any prime p congruent to 1 modulo 4, let (t+up)/2 be the fundamental unit of Q(p). Then Ankeny, Artin, and Chowla conjectured that u is not divisible by p. In this paper, we investigate a certain relation between the conjecture and the continued fraction expansion of (1+p)/2. Consequently, we prove that the conjecture is true if p is not “small” in some sense
Abstract. In this paper, we study the divisibility of the function a(n) defined by n≥0 a(n)q n: = (q...
International audienceLet ε be a non-Galois totally real cubic special unit, i.e. a unit such that ε...
Note on the congruence of Ankeny–Artin–Chowla type modulo p2 by Stanislav Jakubec (Bratislava) The r...
AbstractFor any prime p congruent to 1 modulo 4, let (t+up)/2 be the fundamental unit of Q(p). Then ...
Let $p$ be a prime congruent to 1 modulo~4 and let $t, u$ be rational integers such that $(t+usqrt{p...
Let p be a prime ≡ 1 (mod 4) such that the norm of the fundamental unit of Q(√2p) is −1. A necessary...
[[abstract]]A well-known conjecture of Ankeny-Artin-Chowla states taht if L is a real quadratic numb...
International audienceThe evenness and the values modulo 4 of the lengths of the periods of the cont...
AbstractIn 1986, Mills and Robbins observed by computer the continued fraction expansion of certain ...
The aim of this paper is to obtain the real quadratic fields Q (root d) including omega(d) = [a(0) ;...
for cyclic fields of prime degree l by Stanislav Jakubec (Bratislava) Introduction. Let p ≡ 1 (mod 4...
An error in the program for verifying the Ankeny-Artin-Chowla (AAC) conjecture is reported. As a res...
AbstractA conjecture of Chowla on the number of integers a between 1 and p − 1 for which the polynom...
Abstract. In this paper the results of [4] and [5] on the congruence of Ankeny-Artin-Chowla type mod...
In 1985, Robbins observed by computer the continued fraction expansion of certain algebraic power se...
Abstract. In this paper, we study the divisibility of the function a(n) defined by n≥0 a(n)q n: = (q...
International audienceLet ε be a non-Galois totally real cubic special unit, i.e. a unit such that ε...
Note on the congruence of Ankeny–Artin–Chowla type modulo p2 by Stanislav Jakubec (Bratislava) The r...
AbstractFor any prime p congruent to 1 modulo 4, let (t+up)/2 be the fundamental unit of Q(p). Then ...
Let $p$ be a prime congruent to 1 modulo~4 and let $t, u$ be rational integers such that $(t+usqrt{p...
Let p be a prime ≡ 1 (mod 4) such that the norm of the fundamental unit of Q(√2p) is −1. A necessary...
[[abstract]]A well-known conjecture of Ankeny-Artin-Chowla states taht if L is a real quadratic numb...
International audienceThe evenness and the values modulo 4 of the lengths of the periods of the cont...
AbstractIn 1986, Mills and Robbins observed by computer the continued fraction expansion of certain ...
The aim of this paper is to obtain the real quadratic fields Q (root d) including omega(d) = [a(0) ;...
for cyclic fields of prime degree l by Stanislav Jakubec (Bratislava) Introduction. Let p ≡ 1 (mod 4...
An error in the program for verifying the Ankeny-Artin-Chowla (AAC) conjecture is reported. As a res...
AbstractA conjecture of Chowla on the number of integers a between 1 and p − 1 for which the polynom...
Abstract. In this paper the results of [4] and [5] on the congruence of Ankeny-Artin-Chowla type mod...
In 1985, Robbins observed by computer the continued fraction expansion of certain algebraic power se...
Abstract. In this paper, we study the divisibility of the function a(n) defined by n≥0 a(n)q n: = (q...
International audienceLet ε be a non-Galois totally real cubic special unit, i.e. a unit such that ε...
Note on the congruence of Ankeny–Artin–Chowla type modulo p2 by Stanislav Jakubec (Bratislava) The r...
DOI
Add to ORKG