3 papers
math.NT2003
Higher-dimensional Dedekind sums and their bounds arising from the discrete diagonal of the n-cube
Matthias Beck, Sinai Robins, Shelemyahu Zacks
Higher-dimensional Dedekind sums are defined as a generalization of a recent 1-dimensional probability model of Dilcher and Girstmair to a d-dimensional cube. The analysis of the f…
math.NT2003
Refined upper bounds for the linear Diophantine problem of Frobenius
Matthias Beck, Shelemyahu Zacks
We study the Frobenius problem: given relatively prime positive integers a_1,...,a_d, find the largest value of t (the Frobenius number g(a_1,...,a_d)) such that m_1 a_1 + ... m_d…
math.NT2002
Some experimental results on the Frobenius problem
Matthias Beck, David Einstein, Shelemyahu Zacks
We study the Frobenius problem: given relatively prime positive integers , find the largest value of t (the Frobenius number) such that has…