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Numbers representable by five prime squares with primes in an arithmetic progression

100%

Wang Y.

Acta Arithmetica

1999

tom 90

nr 3

217-244

The least primitive root in number fields

63%

Wang Y., Bauer C.

Acta Arithmetica

2004

tom 115

nr 3

269-285

On the difference of the consecutive primitive roots

63%

Wang Y., Bauer C.

Acta Arithmetica

2004

tom 114

nr 2

135-148

The binary Goldbach conjecture with primes in arithmetic progressions with large modulus

63%

Bauer C., Wang Y.

Acta Arithmetica

2013

tom 159

nr 3

227-243

It is proved that for almost all prime numbers $k ≤ N^{1/4-ϵ}$, any fixed integer b₂, (b₂,k) = 1, and almost all integers b₁, 1 ≤ b₁ ≤ k, (b₁,k) = 1, almost all integers n satisfying n ≡ b₁ + b₂ (mod k) can be written as the sum of two primes p₁ and p₂ satisfying $p_{i} ≡ b_{i}(mod k)$, i = 1,2. For the proof of this result, new estimates for exponential sums over primes in arithmetic progressions are derived.

Ograniczanie wyników

4 Acta Arithmetica

4 Wang Y.

3 Bauer C.

1 2013

2 2004

1 1999

Wyniki wyszukiwania

Numbers representable by five prime squares with primes in an arithmetic progression

The least primitive root in number fields

On the difference of the consecutive primitive roots

The binary Goldbach conjecture with primes in arithmetic progressions with large modulus