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math.NT2016
Reciprocity Theorems for Bettin--Conrey Sums
Juan S. Auli, Abdelmejid Bayad, Matthias Beck
Recent work of Bettin and Conrey on the period functions of Eisenstein series naturally gave rise to the Dedekind-like sum \[ c_{a}\left(\frac{h}{k}\right) \ = \ k^{a}\sum_{m=1}^{k…
math.NT2015★ 2 cited
Coefficients of the Inflated Eulerian Polynomial
Juan S. Auli, Ron Graham, Carla D. Savage
It follows from work of Chung and Graham that for a certain family of polynomials , derived from the descent statistic on permutations, the coefficient sequence of $T_{n-…