AbstractWe exploit an analogue of Artin's primitive roots conjecture for one-dimensional tori over Q. Let T be a one-dimensional torus over Q, and let P∈T(Q) be a nontorsion point. Under Generalized Riemann Hypothesis, we derive an explicit density formula for the set of rational primes ℓ such that P modulo ℓ generates T(Fℓ)
In 1927, Emil Artin conjectured a product expression for the density of primes p for which a given ...
AbstractLet A be the polynomial ring over a finite field. We prove that for every element a of a glo...
AbstractLet a be an integer ≠−1 and not a square. Let Pa(x) be the number of primes up to x for whic...
[[abstract]]We exploit an analogue of Artin's primitive roots conjecture for one-dimensional tori ov...
AbstractWe exploit an analogue of Artin's primitive roots conjecture for one-dimensional tori over Q...
[[abstract]]We exploit an analogue of Artin's primitive root conjecture for one-dimensional tori ove...
Let $p$ be a prime. If an integer $g$ generates a subgroup of index $t$ in $(\mathbb Z/p\mathbb Z)^*...
We prove that for all q > 61, every non-zero element in the finite field Fq can be written as a line...
AbstractEmploying a technique introduced by Gallagher, a simple derivation is given of Montgomery's ...
AbstractLet a, b∈Q* be rational numbers that are multiplicatively independent. We study the natural ...
AbstractLet E be an elliptic curve defined over Q and P∈E(Q) a rational point of infinite order. Sup...
The first purpose of our paper is to show how Hooley's celebrated method leading to his conditional ...
AbstractFor any finitely generated subgroupΓofQ* we compute a formula for the density of the primes ...
[[abstract]]We prove an analogue of Artin’s primitive root conjecture for two-dimensional tori ResK/...
If we fix an integer a not equal to -1 and which is not a perfect square, we are interested in estim...
In 1927, Emil Artin conjectured a product expression for the density of primes p for which a given ...
AbstractLet A be the polynomial ring over a finite field. We prove that for every element a of a glo...
AbstractLet a be an integer ≠−1 and not a square. Let Pa(x) be the number of primes up to x for whic...
[[abstract]]We exploit an analogue of Artin's primitive roots conjecture for one-dimensional tori ov...
AbstractWe exploit an analogue of Artin's primitive roots conjecture for one-dimensional tori over Q...
[[abstract]]We exploit an analogue of Artin's primitive root conjecture for one-dimensional tori ove...
Let $p$ be a prime. If an integer $g$ generates a subgroup of index $t$ in $(\mathbb Z/p\mathbb Z)^*...
We prove that for all q > 61, every non-zero element in the finite field Fq can be written as a line...
AbstractEmploying a technique introduced by Gallagher, a simple derivation is given of Montgomery's ...
AbstractLet a, b∈Q* be rational numbers that are multiplicatively independent. We study the natural ...
AbstractLet E be an elliptic curve defined over Q and P∈E(Q) a rational point of infinite order. Sup...
The first purpose of our paper is to show how Hooley's celebrated method leading to his conditional ...
AbstractFor any finitely generated subgroupΓofQ* we compute a formula for the density of the primes ...
[[abstract]]We prove an analogue of Artin’s primitive root conjecture for two-dimensional tori ResK/...
If we fix an integer a not equal to -1 and which is not a perfect square, we are interested in estim...
In 1927, Emil Artin conjectured a product expression for the density of primes p for which a given ...
AbstractLet A be the polynomial ring over a finite field. We prove that for every element a of a glo...
AbstractLet a be an integer ≠−1 and not a square. Let Pa(x) be the number of primes up to x for whic...
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