Author:
(1) Yitang Zhang.
Appendix A. Some Euler products
Appendix B. Some arithmetic sums
In a way similar to the proof of Lemma 8.4, by lemma 8.2 and 5.8, we find that the right side above is equal to
It follows by Cauchy’ integral formula that
Gathering these results together we obtain (12.10). The proof of (12.11) is similar to that of.
Proof. The left side is equal to
Assume |w| = α. In a way similar to the proof of Lemma 12.1, we deduce that
By direct calculation,
and the derivative of
at w = 0 is equal to
This can be written as the form
Since
it follows by simple calculation that
We have
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