Obrechkoff, N. Summation by Euler’s transform of the series of Dirichlet, factorial series and the series of Newton. (English) Zbl 1463.40001 PLISKA, Stud. Math. 28, 7-127 (2017). English translation of the author’s paper in Bulgarian [Ann. Univ. Sofia, Fac. Phys.-Math. 35, 1–156 (1939; Zbl 0026.10902)]. The present issue is published on the occasion of 120 years from the birth of Academician Obrechkoff (1896–1963), the 70th anniversary of the Institute of Mathematics and Informatics of Bulgarian Academy of Sciences (created October 1947) and 310 years from the birth of Leonard Euler (1717–1783).For the Preface and Addendum to this article by P. Rusev, see [Zbl 1463.01039] and [Zbl 1463.40012]. Cited in 3 Reviews MSC: 40-03 History of sequences, series, summability 40A05 Convergence and divergence of series and sequences 40G05 Cesàro, Euler, Nörlund and Hausdorff methods 01A75 Collected or selected works; reprintings or translations of classics Keywords:Euler summation method; Dirichlet series; factorial series; Newton series Citations:Zbl 0026.10902; Zbl 1463.01039; Zbl 1463.40012 PDFBibTeX XMLCite \textit{N. Obrechkoff}, PLISKA, Stud. Math. 28, 7--127 (2017; Zbl 1463.40001) Full Text: Link