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2 votes
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The number of elements with order less than $k$ in a larger cyclic group

I am working on a problem where it has become important to count (or at least bound from above and below) the number of elements of ${\bf Z}/n{\bf Z}$ that have order less than a given $k$, where $2\l …
Marcel K. Goh's user avatar
2 votes
1 answer
110 views

Counting numerical semigroups by largest element of minimal generating set

For a given integer $n$, I am interested in the number of different numerical semigroups one can make with a generating set consisting only of integers in $[n]$. I have done some small examples. For $ …
Marcel K. Goh's user avatar