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Number of solutions in a box of a linear homogeneous equation in an Abelian group

100%

Zakarczemny M.

Acta Arithmetica

2012

tom 155

nr 2

227-231

Number of solutions in a box of a linear equation in an Abelian group

100%

Zakarczemny M.

Colloquium Mathematicum

2016

tom 143

nr 1

17-22

For every finite Abelian group Γ and for all $g,a₁,..., a_{k} ∈ Γ$, if there exists a solution of the equation $∑_{i=1}^{k} a_{i}x_{i} = g$ in non-negative integers $x_{i} ≤ b_{i}$, where $b_{i}$ are positive integers, then the number of such solutions is estimated from below in the best possible way.

Ograniczanie wyników

1 Acta Arithmetica

1 Colloquium Mathematicum

2 Zakarczemny M.

1 2016

1 2012

Wyniki wyszukiwania

Number of solutions in a box of a linear homogeneous equation in an Abelian group

Number of solutions in a box of a linear equation in an Abelian group