On reciprocity formulae for inhomogeneous and homogeneous Dedekind sums
Published online by Cambridge University Press: 24 October 2008
Extract
A number of authors, including Apostol [1], Carlitz [2], Mikolás [5] and Rademacher [9] have obtained linear relations for the Dedekind sums
(the inhomogeneous sum) and the homogeneous sum
Here denotes the periodic extension into ℝ of the Bernoulli polynomial Bm(X) on [0, 1] given by the relation
with the exception that we define
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 114 , Issue 1 , July 1993 , pp. 9 - 24
- Copyright
- Copyright © Cambridge Philosophical Society 1993
References
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