Summation formulae of multiplicative functions over arithmetic progressions and applications
Canadian journal of mathematics, Tome 77 (2025) no. 4, pp. 1243-1270

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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.
DOI : 10.4153/S0008414X24000312
Mots-clés : Multiplicative functions, arithmetic progressions, automorphic L-functions
Jiang, Yujiao; Lü, Guangshi. Summation formulae of multiplicative functions over arithmetic progressions and applications. Canadian journal of mathematics, Tome 77 (2025) no. 4, pp. 1243-1270. doi: 10.4153/S0008414X24000312
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