1 citations · 1 across the 2 of their papers we have counts for
5 papers
Representations as Sums of Icosahedral and Dodecahedral Numbers: Proof of Pollock's Conjectures
Debmalya Basak, Anji Dong, Katerina Saettone +1
On the occasion of George Andrews' and Bruce Berndt's combined 170th birthday, we prove two conjectures of Sir Frederick Pollock that are more than 170 years old. In 1843, Pollock…
Cannonball Polygons with Multiplicities
Anji Dong, Katerina Saettone, Kendra Song +1
We generalize the Cannonball Problem by introducing integer-valued and non-increasing arithmetic functions . We associate these functions with certain polygons, which we cal…
An Equidistribution Result for Differences Associated to Square Pyramidal Numbers II
Anji Dong, Katerina Saettone, Kendra Song +1
This paper presents some new results concerned with uniform distribution properties associated with the sequence , which is defined as the distance from the…
An Equidistribution Result for Differences Associated with Square Pyramidal Numbers
Anji Dong, Katerina Saettone, Kendra Song +1
We provide an asymptotic formula for the average value of the sequence A351830: for , where is the -th square pyramidal nu…
On a Special Metric in Cyclotomic Fields
Katerina Saettone, Alexandru Zaharescu, Zhuo Zhang
Let be an odd prime, and let be a primitive th root of unity. In this paper, we introduce a metric on the cyclotomic field . We prove that this metric…