DOIAbstract
AbstractA conjecture of Chowla on the number of integers a between 1 and p − 1 for which the polynomial xn + x + a becomes irreducible (mod p) is proved. The same arguments show that xn + x + a can be replaced by more general polynomials
AbstractA conjecture of Chowla on the number of integers a between 1 and p − 1 for which the polynomial xn + x + a becomes irreducible (mod p) is proved. The same arguments show that xn + x + a can be replaced by more general polynomials
ii Consider a polynomial f(x) having non-negative integer coefficients with f(b) prime for some inte...
International audienceEvery polynomial $P(X)\in \mathbb Z[X]$ satisfies the congruences $P(n+m)\equi...
AbstractAs an extension of the Dirichlet divisor problem, S. Chowla and H. Walum conjectured that, a...
AbstractA conjecture of Chowla on the number of integers a between 1 and p − 1 for which the polynom...
AbstractThe equation y2 ≡ x(x + a1)(x + a2) … (x + ar) (mod p), where a1, a2, …, ar are integers is ...
There is an absolute constant D0 > 0 such that if f(x) is an integer polynomial, then there is an in...
Any irreducible polynomial f(x) in [special characters omitted][x] such that the set of values f([sp...
AbstractWe consider absolutely irreducible polynomialsf∈Z[x, y] with degxf=m, degyf=n, and heightH. ...
International audienceLet t be an integer ≥ 3 such that t ≡ 1 mod 4. The absolute irreducibility of ...
AbstractLet ƒ ∈ Q[y] be a polynomial of degree n over the rationals. Assume ƒ is indecomposable and ...
AbstractOstrowski established in 1919 that an absolutely irreducible integral polynomial remains abs...
In this note, we show that, for any f∈ℤx and any prime number p, there exists g∈ℤx for which the pol...
Abstract. Ostrowski established in 1919 that an absolutely irreducible integral polynomial remains a...
In this note, we show that, for any f ∈ Z[x] and any prime number p, there exists g ∈ Z[x] for which...
AbstractAn answer is given for a problem of Chowla and Shimura concerning congruences of the type a1...
ii Consider a polynomial f(x) having non-negative integer coefficients with f(b) prime for some inte...
International audienceEvery polynomial $P(X)\in \mathbb Z[X]$ satisfies the congruences $P(n+m)\equi...
AbstractAs an extension of the Dirichlet divisor problem, S. Chowla and H. Walum conjectured that, a...
AbstractA conjecture of Chowla on the number of integers a between 1 and p − 1 for which the polynom...
AbstractThe equation y2 ≡ x(x + a1)(x + a2) … (x + ar) (mod p), where a1, a2, …, ar are integers is ...
There is an absolute constant D0 > 0 such that if f(x) is an integer polynomial, then there is an in...
Any irreducible polynomial f(x) in [special characters omitted][x] such that the set of values f([sp...
AbstractWe consider absolutely irreducible polynomialsf∈Z[x, y] with degxf=m, degyf=n, and heightH. ...
International audienceLet t be an integer ≥ 3 such that t ≡ 1 mod 4. The absolute irreducibility of ...
AbstractLet ƒ ∈ Q[y] be a polynomial of degree n over the rationals. Assume ƒ is indecomposable and ...
AbstractOstrowski established in 1919 that an absolutely irreducible integral polynomial remains abs...
In this note, we show that, for any f∈ℤx and any prime number p, there exists g∈ℤx for which the pol...
Abstract. Ostrowski established in 1919 that an absolutely irreducible integral polynomial remains a...
In this note, we show that, for any f ∈ Z[x] and any prime number p, there exists g ∈ Z[x] for which...
AbstractAn answer is given for a problem of Chowla and Shimura concerning congruences of the type a1...
ii Consider a polynomial f(x) having non-negative integer coefficients with f(b) prime for some inte...
International audienceEvery polynomial $P(X)\in \mathbb Z[X]$ satisfies the congruences $P(n+m)\equi...
AbstractAs an extension of the Dirichlet divisor problem, S. Chowla and H. Walum conjectured that, a...
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