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math.NT2016★ 1 cited
Higher Hickerson formula
Jungyun Lee, Byungheup Jun, Hi-joon Chae
Hickerson made an explicit formula for Dedekind sums in terms of the continued fraction of . We develop analogous formula for generalized Dedekind sums …
math.NT2014★ 3 cited
An analogue of the Rademacher function for generalized Dedekind sums in higher dimension
Hi-Joon Chae, Byungheup Jun, Jungyun Lee
We consider generalized Dedekind sums in dimension , for fixed -tuple of natural numbers, defined as sum of products of values of periodic Bernoulli functions. This includes…