Geodesic
Sums of series of the form $\sum\limits^{\infty}_{k=1}\frac{1}{k^2+ak+b}$
Matematičeskoe obrazovanie, Tome 101 (2022) no. 1, pp. 48-54.

Voir la notice de l'article provenant de la source Math-Net.Ru

The article considers the possibility of reducing the sum of a series of the indicated type to elementary functions — both directly and in terms of some approximations. For this it is convenient to use the symmetric meromorphic function of two variables $\sum\limits^{\infty}_{k=1}\frac{1}{k^2+ak+b}$. 
@article{MO_2022_101_1_a5,
     author = {E. I. Znak},
     title = {Sums of series of the form $\sum\limits^{\infty}_{k=1}\frac{1}{k^2+ak+b}$},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {48--54},
     publisher = {mathdoc},
     volume = {101},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2022_101_1_a5/}
}
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E. I. Znak. Sums of series of the form $\sum\limits^{\infty}_{k=1}\frac{1}{k^2+ak+b}$. Matematičeskoe obrazovanie, Tome 101 (2022) no. 1, pp. 48-54. http://geodesic.mathdoc.fr/item/MO_2022_101_1_a5/