Approximation of the Multiplication Table Function

Mehdi Hassani

Approximation of the Multiplication Table Function

数论 2007-06-13 v2 统计理论统计理论

作者: Mehdi Hassani

摘要

In this paper, considering the concept of Universal Multiplication Table, we show that for every $n\geq 2$ , the inequality: $M(n)=#\{ij|1\leq i,j\leq n\}\geq\frac{n^2}{\mathfrak{N}(n^2)},$ holds true with: $\mathfrak{N}(n)=n^{\frac{\log 2}{\log\log n}(1+\frac{387}{200\log\log n})}.$

引用

@article{arxiv.math/0603644,
  title  = {Approximation of the Multiplication Table Function},
  author = {Mehdi Hassani},
  journal= {arXiv preprint arXiv:math/0603644},
  year   = {2007}
}

备注

5 pages

Approximation of the Multiplication Table Function

摘要

引用

备注

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