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math.NT2012
Every Binary Self-Dual Code Arises From Hilbert Symbols
Ted Chinburg, Ying Zhang
In this paper we construct binary self-dual codes using the étale cohomology of on the spectra of rings of -integers of global fields. We will show that up to equ…
math.NT2006★ 8 cited
Congruence and Uniqueness of Certain Markoff Numbers
Ying Zhang
By making use of only simple facts about congruence, we first show that every even Markoff number is congruent to 2 modulo 32, and then, generalizing an earlier result of Baragar,…
math.NT2006★ 6 cited
An elementary proof of uniqueness of Markoff numbers which are prime powers
Ying Zhang
We present a very elementary proof of the uniqueness of Markoff numbers which are prime powers or twice prime powers, in the sense that it uses neither algebraic number theory nor…