4 citations · 28 across the 48 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.NT2021
On Berndt's summation formula
Alexander E. Patkowski
We offer a proof of a summation formula equivalent to one due to Berndt. Our proof uses the Mntz formula and the Poisson summation formula. By utilizing known properties…
math.CA2021
On summation formulas in probability theory
Alexander E. Patkowski
We offer some summation formulas that appear to have great utility in probability theory. The proofs require some recent results from analysis that have thus far been applied to ba…
math.NT2021
A remark on Fine's arithmetic functions
Alexander E. Patkowski
In this note, we take another look at some arithmetic identities of N.J. Fine associated with divisor functions. We connect these functions with indefinite quadratic forms using a…