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An asymptotic formula related to the divisors of the quaternary quadratic form

100%

Hu L.

Acta Arithmetica

2014

tom 166

nr 2

129-140

Let d(n) stand for the Dirichlet divisor function. We give an asymptotic formula for $∑_{1≤m₁,m₂,m₃,m₄≤x} d(m₁²+m₂²+m₃²+m₄²)$ with the help of the circle method.

The number of powers of 2 in a representation of large odd integers

63%

Hu L., Yang L.

Acta Arithmetica

2011

tom 150

nr 2

175-192

On pairs of equations in unlike powers of primes and powers of 2

63%

Hu L., Yang L.

Open Mathematics

2017

tom 15

nr 1

1487-1494

In this paper, we obtained that when k = 455, every pair of large even integers satisfying some necessary conditions can be represented in the form of a pair of unlike powers of primes and k powers of 2.

Ograniczanie wyników

2 Acta Arithmetica

1 Open Mathematics

3 Hu L.

2 Yang L.

1 2017

1 2014

1 2011

Wyniki wyszukiwania

An asymptotic formula related to the divisors of the quaternary quadratic form

The number of powers of 2 in a representation of large odd integers

On pairs of equations in unlike powers of primes and powers of 2