Theorem 2, at the end of Section 2, was not originally obtained in the manner indicated there.
A key step in obtaining (6) is Jensen's inequality.
We thus obtain $f=g$. [Not: “We obtain that $f=g$”, “We receive $f=g$”.]
Also, wherever possible, we work with integer coefficients, enabling us to obtain information about torsion.
See  for a brief account of the results obtained. [Not: “the obtained results”]