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MacMahonesque partition functions detect sets related to primes by Gomez, Kevin is a scholarly article available to read on EtoBox.

What is MacMahonesque partition functions detect sets related to primes about?

Recent work by Craig, van Ittersum, and Ono constructs explicit expressions in the partition functions of MacMahon that detect the prime numbers. Furthermore, they define generalizations, the MacMahonesque functions, and prove there are infinitely many such expressions in these functions. Here, we show how to modify and adapt their construction to detect cubes of primes as well as primes in arithmetic progressions.

Author

Gomez, Kevin

Published

2024

Language

EN