D. M. Davis

activity

19982009

most citedA number-theoretic approach to homotopy exponents of SU(n)

4 citations · 5 across the 7 of their papers we have counts for

collaborators

Showing 2005Show all

2 papers · 1 filter

math.NT2005

Combinatorial congruences modulo prime powers

Zhi-Wei Sun, Donald M. Davis

Let p be any prime, and let a and n be nonnegative integers. Let $r \in Z$ and $f (x) \in Z [x]$ . We establish the congruence $$p^{°f}\sum_{k=r(mod p^a)}\binom{n}{k}(-1)^k f((k-r)/p^a)…

math.AT2005★ 4 cited

A number-theoretic approach to homotopy exponents of SU(n)

Donald M. Davis, Zhi-Wei Sun

We use methods of combinatorial number theory to prove that, for each $n > 1$ and any prime $p$ , some homotopy group $π_{i} (S U (n))$ contains an element of order $p^{n - 1 + or d_{p} ([n / p]!)}$ …