We provide upper bounds for the mean square integral
where and lies in a suitable range. For a fixed integer, is the error term in the asymptotic formula for the summatory function of the divisor function , generated by .
On donne des estimations pour la moyenne quadratique de
où et se trouve dans un intervalle convenable. Pour un entier fixé, et le terme d’erreur pour la fonction sommatoire de la fonction des diviseurs , generée par .
@article{JTNB_2009__21_2_251_0, author = {Aleksandar Ivi\'c}, title = {On the mean square of the divisor function in short intervals}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {251--261}, publisher = {Universit\'e Bordeaux 1}, volume = {21}, number = {2}, year = {2009}, doi = {10.5802/jtnb.669}, mrnumber = {2541424}, language = {en}, url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.669/} }
TY - JOUR AU - Aleksandar Ivić TI - On the mean square of the divisor function in short intervals JO - Journal de théorie des nombres de Bordeaux PY - 2009 SP - 251 EP - 261 VL - 21 IS - 2 PB - Université Bordeaux 1 UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.669/ DO - 10.5802/jtnb.669 LA - en ID - JTNB_2009__21_2_251_0 ER -
%0 Journal Article %A Aleksandar Ivić %T On the mean square of the divisor function in short intervals %J Journal de théorie des nombres de Bordeaux %D 2009 %P 251-261 %V 21 %N 2 %I Université Bordeaux 1 %U https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.669/ %R 10.5802/jtnb.669 %G en %F JTNB_2009__21_2_251_0
Aleksandar Ivić. On the mean square of the divisor function in short intervals. Journal de théorie des nombres de Bordeaux, Volume 21 (2009) no. 2, pp. 251-261. doi : 10.5802/jtnb.669. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.669/
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