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.
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
@article{10_4153_S0008414X24000312,
author = {Jiang, Yujiao and L\"u, Guangshi},
title = {Summation formulae of multiplicative functions over arithmetic progressions and applications},
journal = {Canadian journal of mathematics},
pages = {1243--1270},
year = {2025},
volume = {77},
number = {4},
doi = {10.4153/S0008414X24000312},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X24000312/}
}
TY - JOUR AU - Jiang, Yujiao AU - Lü, Guangshi TI - Summation formulae of multiplicative functions over arithmetic progressions and applications JO - Canadian journal of mathematics PY - 2025 SP - 1243 EP - 1270 VL - 77 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X24000312/ DO - 10.4153/S0008414X24000312 ID - 10_4153_S0008414X24000312 ER -
%0 Journal Article %A Jiang, Yujiao %A Lü, Guangshi %T Summation formulae of multiplicative functions over arithmetic progressions and applications %J Canadian journal of mathematics %D 2025 %P 1243-1270 %V 77 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X24000312/ %R 10.4153/S0008414X24000312 %F 10_4153_S0008414X24000312
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