@article{GraeterWirths2015, author = {Gr{\"a}ter, Joachim and Wirths, Karl-Joachim}, title = {On Elementary Bounds for Sigma(infinity)(k=n)k(-s)}, series = {The American mathematical monthly : an official publication of the Mathematical Association of America}, volume = {122}, journal = {The American mathematical monthly : an official publication of the Mathematical Association of America}, number = {2}, publisher = {Mathematical Assoc. of America}, address = {Washington}, issn = {0002-9890}, doi = {10.4169/amer.math.monthly.122.02.155}, pages = {155 -- 158}, year = {2015}, abstract = {By means of elementary arguments, we derive lower and upper bounds for the infinite series Sigma(infinity)(k=n)k(-s), s is an element of R and s > 1.}, language = {en} }