3 papers
math.NT2026
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…
math.NT2025
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…
math.NT2025
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…