%0 Journal Article
%T 整数群上增长函数的次可乘性与增长率<br>Submultiplication and Growth Rate of Growth Functions on the Integer Group
%A 卢斯悦
%J Advances in Applied Mathematics
%P 944-953
%@ 2324-8009
%D 2025
%I Hans Publishing
%R 10.12677/AAM.2025.144218
%X 本文给出了整数群 Z 上一个真的长度函数，并证明了这个长度函数诱导的增长函数不是次可乘的， 但却满足一个一般的次可乘不等式。同时计算出了该增长函数的增长率是欧拉数 e。<br>We give a proper length function on the integer group Z, and demonstrate that its induced growth function is not submultiplicative, but satis？es a general submultiplica- tive inequality. We also show that the growth rate of this growth function is Euler’s number e.
%K 整数群，增长函数，次可乘，增长率<br>Integer Group
%K Growth Function
%K Submultiplication
%K Growth Rate
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=113234