35 citations · 115 across the 21 of their papers we have counts for
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math.NT2003
Quantum integers and cyclotomy
Alexander Borisov, Yang Wang, Melvyn B. Nathanson
A sequence of functions {f_n(q)}_{n=1}^{\infty} satisfies the functional equation for multiplication of quantum integers if f_{mn}(q) = f_m(q)f_n(q^m) for all positive integers m a…
math.GR2003★ 25 cited
Polynomial maps over finite fields and residual finiteness of mapping tori of group endomorphisms
Alexander Borisov, Mark Sapir
We prove that every mapping torus of any free group endomorphism is residually finite. We show how to use a not yet published result of E. Hrushovski to extend our result to arbitr…