Geodesic
A New Method in Arithmetical Functions and Contour Integration
Canadian mathematical bulletin, Tome 16 (1973) no. 3, pp. 381-387

Voir la notice de l'article provenant de la source Cambridge University Press

If f is a suitable meromorphic function, then by a classical technique in the calculus of residues, one can evaluate in closed form series of the form, Suppose that a(n) is an arithmetical function. It is natural to ask whether or not one can evaluate by contour integration (1.1) where f belongs to a suitable class of meromorphic functions. We shall give here only a partial answer for a very limited class of arithmetical functions. 
Berndt, Bruce C. A New Method in Arithmetical Functions and Contour Integration. Canadian mathematical bulletin, Tome 16 (1973) no. 3, pp. 381-387. doi: 10.4153/CMB-1973-060-6
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