D. M. Davis

activity

19982023

most citedThe symmetrized topological complexity of the circle

5 citations · 16 across the 27 of their papers we have counts for

collaborators

Showing 2013 · math.NTShow all

2 papers · 2 filters

math.NT2013

Binomial coefficients involving infinite powers of primes

Donald M. Davis

If p is a prime and n a positive integer, let v(n) denote the exponent of p in n, and u(n)=n/p^{v(n)} the unit part of n. If k is a positive integer not divisible by p, we show tha…

math.NT2013

For which 2-adic integers $x$ can $\sum_{k} (k x)^{- 1}$ be defined?

Donald M. Davis

Let $f (n) = \sum_{k} (k n)^{- 1}$ . In a previous paper, we defined for a p-adic integer x that f(x) is p-definable if lim $f (x_{j})$ exists in $Q_{p}$ , where $x_{j}$ denotes the mod $p^{j}$ …

Binomial coefficients involving infinite powers of primes

For which 2-adic integers x can ∑k​(kx​)−1 be defined?

For which 2-adic integers $x$ can $\sum_{k} (k x)^{- 1}$ be defined?