C. Ballantine

works on

analytic combinatorics 1 Beck identities 1 colored partitions 1 Franklin's identity 1 partition theory 1

From the 1 of 6 linked papers with an AI index.

activity

20242026

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math.NT2026

Reciprocals of Subsum Polynomials

Cristina Ballantine, George Beck, Brooke Feigon +1

We introduce the subsum polynomial of a partition $I^» = (I^»_{1}, I^»_{2}, \dots, I^»_{k})$ defined by $sp (I^», x) = \prod_{i = 1}^{k} (1 + x^{I^»_{i}})$ . We study the sum of reciprocals of $\ma…

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 $q$ -series of the Rogers-Ramanujan type. We conclude with a contemplation on the A…