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Explicit Upper Bounds for the Average Order of $d_n$ and Applications to Class Number
Multiplicative number theory Average order Class number
2008/7/3
In this paper, we prove some explicit upper bounds for the average order of the generalized divisor function, and, according to an idea of Lenstra, we use them to obtain bounds for the class number of...
We prove in an elementary way a new inequality for the average order of the Piltz divisor function with application to class number of number fields.
On the Parabolic Class Number of Some Subgroups of Hecke Groups
Parabolic class number orbit Fuchsian group
2010/3/4
In this paper we calculate the parabolic class number of subgroups of Hecke groups ( H(\sqrt{2}), H (\sqrt{3}) ).