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Summation formulae of multiplicative functions over arithmetic progressions and applications
Published online by Cambridge University Press: 12 April 2024
Abstract
In this paper, we investigate the asymptotic distribution of a class of multiplicative functions over arithmetic progressions without the Ramanujan conjecture. We also apply these results to some interesting arithmetic functions in automorphic context, such as coefficients of automorphic L-functions, coefficients of their Rankin–Selberg.
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- © The Author(s), 2024. Published by Cambridge University Press on behalf of Canadian Mathematical Society
Footnotes
This work was supported by the National Key Research and Development Program of China (Grant No. 2021YFA1000700), the National Natural Science Foundation of China (Grant Nos. 12271297 and 12031008), and the Natural Science Foundation of Shandong Province (Grant No. ZR2022YQ03).