2021 •
Poisson summation formulas involving the sum-of-squares function
Authors: Lev, Nir, Reti, Gilad
Venue: Israel Journal of Mathematics
Type: Publication
Abstract: We obtain new Poisson type summation formulas with nodes $\pm \sqrt{n}$ and with weights involving the function $r_k(n)$ that gives the number of representations of a positive integer $n$ as the sum of $k$ squares. Our results extend summation formulas due to Guinand and Meyer that involve the sum-of-three-squares function $r_3(n)$.
Popularity: This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the
underlying citation network.
Influence: This indicator reflects the overall/total impact of an article in the research community at large, based on the
underlying citation network (diachronically).
Citation Count: This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in
the research community at large, based on the underlying citation network (diachronically).
Impulse: This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation
network.
We have placed cookies on your device to help make this website and the services we offer better. By using this site, you agree to the use of cookies. Learn more