In this paper we study the asymptotic behavior of the mean value of Dedekind sums, and give a sharper asymptotic formula.
On étudie dans ce papier le comportement asymptotique de valeurs moyennes de sommes de Dedekind. On donne en particulier une formule asymptotique améliorant un résultat antérieur.
@article{JTNB_1996__8_2_429_0, author = {Wenpeng Zhang}, title = {On the mean values of {Dedekind} sums}, journal = {Journal de Th\'eorie des Nombres de Bordeaux}, pages = {429--442}, publisher = {Universit\'e Bordeaux I}, volume = {8}, number = {2}, year = {1996}, doi = {10.5802/jtnb.179}, zbl = {0871.11033}, mrnumber = {1438480}, language = {en}, url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.179/} }
TY - JOUR TI - On the mean values of Dedekind sums JO - Journal de Théorie des Nombres de Bordeaux PY - 1996 DA - 1996/// SP - 429 EP - 442 VL - 8 IS - 2 PB - Université Bordeaux I UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.179/ UR - https://zbmath.org/?q=an%3A0871.11033 UR - https://www.ams.org/mathscinet-getitem?mr=1438480 UR - https://doi.org/10.5802/jtnb.179 DO - 10.5802/jtnb.179 LA - en ID - JTNB_1996__8_2_429_0 ER -
Wenpeng Zhang. On the mean values of Dedekind sums. Journal de Théorie des Nombres de Bordeaux, Volume 8 (1996) no. 2, pp. 429-442. doi : 10.5802/jtnb.179. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.179/
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