Geodesic
Summation and hyper-summation of progressions
Matematičeskoe obrazovanie, Tome 81 (2017) no. 1, pp. 15-26

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

Useful formulas of summation and hyper-summation (summation of sums) for different progressions are derived. Numerous applications are considered.
Keywords: Summation of progressions, hyper summation of progressions, summation of the degrees of natural numbers, the problem of polygonal and pyramidal numbers, the problem of payments on a loan. 
@article{MO_2017_81_1_a2,
     author = {V. I. Voititskii},
     title = {Summation and hyper-summation of progressions},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {15--26},
     publisher = {mathdoc},
     volume = {81},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2017_81_1_a2/}
}
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V. I. Voititskii. Summation and hyper-summation of progressions. Matematičeskoe obrazovanie, Tome 81 (2017) no. 1, pp. 15-26. http://geodesic.mathdoc.fr/item/MO_2017_81_1_a2/