Garge, Anuradha S. Matrices over commutative rings as sums of fifth and seventh powers of matrices. (English) Zbl 1469.11047 Linear Multilinear Algebra 69, No. 12, 2220-2227 (2021). MSC: 11C20 15B36 11P05 15B33 PDFBibTeX XMLCite \textit{A. S. Garge}, Linear Multilinear Algebra 69, No. 12, 2220--2227 (2021; Zbl 1469.11047) Full Text: DOI
Inaba, Y. On the inverse of a certain matrix involving binomial coefficients. (English) Zbl 1204.11047 Int. J. Contemp. Math. Sci. 3, No. 29-32, 1511-1516 (2008). MSC: 11B65 11B68 15B36 15A09 PDFBibTeX XMLCite \textit{Y. Inaba}, Int. J. Contemp. Math. Sci. 3, No. 29--32, 1511--1516 (2008; Zbl 1204.11047) Full Text: Link
Katre, S. A.; Khule, Sangita A. Matrices over orders in algebraic number fields as sums of \(k\)-th powers. (English) Zbl 0937.11010 Proc. Am. Math. Soc. 128, No. 3, 671-675 (2000). Reviewer: L.N.Vaserstein and E.R.Wheland (University Park) MSC: 11C20 15B33 11P99 11R04 PDFBibTeX XMLCite \textit{S. A. Katre} and \textit{S. A. Khule}, Proc. Am. Math. Soc. 128, No. 3, 671--675 (2000; Zbl 0937.11010) Full Text: DOI
Dostor, G. Direct method for the evaluation of the sum of the \(\alpha\)th powers of the first \(n\) positive integers. (Méthode directe pour calculer la somme des puissances \(\alpha\) des \(n\) premiers nombres entiers.) (French) JFM 11.0178.03 Nouv. Ann. (2) XVIII. 459-464, 513-518 (1879). Reviewer: Schemmel, Dr. (Berlin) MSC: 11B68 15A06 40A99 PDFBibTeX XML Full Text: EuDML
Dostor, G. Sums of the first ten powers of the first \(n\) positive integers, and of the first five powers of the first \(n\) odd positive integers. Relations between the various sums. (Sommes des dix premières puissances des \(n\) premiers nombres entiers, et des cinq premières puissances des \(n\) premiers nombres impairs. Relations entre ces diverses sommes.) (French) JFM 11.0178.02 Grunert Arch. LXIV, 310-321 (1879). MSC: 11B68 15A06 40A99 PDFBibTeX XMLCite \textit{G. Dostor}, Grunert Arch. 64, 310--321 (1879; JFM 11.0178.02)
Günther, S. Two simple methods for the summation of power series. (Zwei einfache Methoden zur Summation von Potenzreihen.) (German) JFM 11.0177.03 Bair. Bl. XV. 62-66 (1879). Reviewer: Günther, Prof. (Ansbach) MSC: 11B68 15A06 40A99 PDFBibTeX XML
Sinram, Th. Some theorems on series. (Einige Sätze über Reihen.) (German) JFM 11.0179.01 Grunert Arch. LXIII, 103-108 (1878). Reviewer: Schemmel, Dr. (Berlin) MSC: 11B68 11B75 15A06 40A99 PDFBibTeX XMLCite \textit{Th. Sinram}, Grunert Arch. 63, 103--108 (1878; JFM 11.0179.01)
Dostor, G. Direct and elementary summation of the \(4\)th, \(5\)th and \(6\)th powers of the first \(n\) positive integers. (Sommation directe et élémentaire des quatrièmes, cinquièmes et sixièmes puissances des \(n\) premiers nombres entiers.) (French) JFM 11.0178.01 Grunert Arch. LXIII, 435-440 (1878). MSC: 11B68 15A06 40A99 PDFBibTeX XMLCite \textit{G. Dostor}, Grunert Arch. 63, 435--440 (1878; JFM 11.0178.01)