researcher

D. M. Davis

32 papers hereh-index 181.2k citations170 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position

sole author23
first author6
last author2

Across the 31 of 32 papers where every author was matched, so the position is known.

fields

math.AT25
math.NT5
math.CO1
math.DG1

identity via Semantic Scholar / OpenAlex

activity

19982022

most citedThe symmetrized topological complexity of the circle

5 citations · 14 across the 19 of their papers we have counts for

collaborators

Showing 2013Show all

2 papers · 1 filter

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 $p^{j}$ …

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Data

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.

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?