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On a Diophantine problem with two primes and s powers of two

100%

Languasco A., Zaccagnini A.

Acta Arithmetica

2010

tom 145

nr 2

193-208

On a diophantine problem with one prime, two squares of primes and s powers of two

100%

Languasco A., Settimi V.

Acta Arithmetica

2012

tom 154

nr 4

385-412

On a ternary Diophantine problem with mixed powers of primes

100%

Languasco A., Zaccagnini A.

Acta Arithmetica

2013

tom 159

nr 4

345-362

Let 1 < k < 33/29. We prove that if λ₁, λ₂ and λ₃ are non-zero real numbers, not all of the same sign and such that λ₁/λ₂ is irrational, and ϖ is any real number, then for any ε > 0 the inequality $|λ₁p₁ + λ₂p²₂ + λ₃p₃^k + ϖ | ≤ (max_j p_j)^{-(33-29k)/(72k)+ε}$ has infinitely many solutions in prime variables p₁, p₂, p₃.

Ograniczanie wyników

3 Acta Arithmetica

3 Languasco A.

2 Zaccagnini A.

1 Settimi V.

1 2013

1 2012

1 2010

Wyniki wyszukiwania

On a Diophantine problem with two primes and s powers of two

On a diophantine problem with one prime, two squares of primes and s powers of two

On a ternary Diophantine problem with mixed powers of primes