Nathan McNew

activity

20122026

most citedRadically weakening the Lehmer and Carmichael conditions

5 citations · 12 across the 18 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.NT2016

Random multiplicative walks on the residues modulo n

Nathan McNew

We introduce a new arithmetic function $a (n)$ defined to be the number of random multiplications by residues modulo $n$ before the running product is congruent to 0 modulo $n$ . We…

math.NT2016★ 4 cited

When Sets Can and Cannot Have MSTD Subsets

Hung Chu, Nathan McNew, Steven J. Miller +2

A finite set of integers $A$ is a sum-dominant (also called an More Sums Than Differences or MSTD) set if $∣ A + A ∣ > ∣ A - A ∣$ . While almost all subsets of ${0, \dots, n}$ are not sum…

math.NT2016

Subsets of $F_{q} [x]$ free of 3-term geometric progressions

Megumi Asada, Eva Fourakis, Sarah Manski +3

Several recent papers have considered the Ramsey-theoretic problem of how large a subset of integers can be without containing any 3-term geometric progressions. This problem has a…

Random multiplicative walks on the residues modulo n

When Sets Can and Cannot Have MSTD Subsets

Subsets of Fq​[x] free of 3-term geometric progressions

Subsets of $F_{q} [x]$ free of 3-term geometric progressions