Seminars & Colloquia Calendar

Download as iCal file

Number Theory Seminar

Partitions into powers of primes

Ayla Gafini, University of Mississippi

Location:  URL:
Date & time: Tuesday, 14 April 2020 at 2:00PM - 3:00PM

Abstract: Given a set \(\mathcal A \subset \mathbb N\), the restricted partition function \(p_{\mathcal{A}} (n)\) counts the number of  integer partitions of \(n\) with all parts in \(\mathcal A\).   In this talk, we will explore the features of the restricted partitions function \(p_{\mathcal P_k}(n)\) where \(\mathcal P_k\) is the set of \(k\)-th powers of primes.  Powers of primes are both sparse and irregular, which makes \(p_{\mathcal P_k}(n)\) 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.


Meeting ID: 386 354 493
Password: 004633

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.