2 papers
math.NT2025
Lambert series and double Lambert series
Tewodros Amdeberhan, George E. Andrews, Cristina Ballantine
We consider relationships between classical Lambert series, multiple Lambert series and classical -series of the Rogers-Ramanujan type. We conclude with a contemplation on the A…
math.NT2024
Further study on MacMahon-type sums of divisors
Tewodros Amdeberhan, George E. Andrews, Roberto Tauraso
This paper is devoted to the study of $$ U_t(a,q):=\sum_{1\leq n_1<n_2<\cdots<n_t}\frac{q^{n_1+n_2+\cdots+n_t}}{(1+aq^{n_1}+q^{2n_1})(1+aq^{n_2}+q^{2n_2})\cdots(1+aq^{n_t}+q^{2n_t}…