TY - JOUR A1 - Gräter, Joachim A1 - Wirths, Karl-Joachim T1 - On Elementary Bounds for Sigma(infinity)(k=n)k(-s) JF - The American mathematical monthly : an official publication of the Mathematical Association of America N2 - 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. Y1 - 2015 U6 - https://doi.org/10.4169/amer.math.monthly.122.02.155 SN - 0002-9890 SN - 1930-0972 VL - 122 IS - 2 SP - 155 EP - 158 PB - Mathematical Assoc. of America CY - Washington ER -