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This addendum devotes to a detailed proof for the inequality (9.14) in ourjoint work: Arithmetic exponent pairs for algebraic trace functions andapplications, with an appendix by Will Sawin, arXiv:1603.07060 [math.NT], whichwill appear in Algebra and Number Theory. We do not intend to publish thisaddendum in any journals; arXiv should be a good place for those reader whowant to find such details. The proof involves various averages of arithmeticfunctions.

Addendum to "Arithmetic exponent pairs of algebraic trace functions and applications"