Document Type
Lecture
Publication Date
9-18-2020
Abstract
Given a set �� ⊆ ℕ, the restricted partition function p��(n) counts the number of integer partitions of n with all parts in A. In this talk, we will explore the features of the restricted partitions function pℙk(n), where ℙk is the set of k-th powers of primes (ℙ). Powers of primes are both sparse and irregular, which makes pℙk(n) quite an elusive function to understand. We will discuss some of the challenges involved in studying restricted partition functions and what is known in the case of primes, k-th powers, and k-th powers of primes.
Relational Format
presentation
Recommended Citation
Gafni, Ayla, "Partitions into Powers of Primes" (2020). Algebra/Number Theory Seminar. 16.
https://egrove.olemiss.edu/math_algebra_number_theory/16
