output
20042026
most citedDyson's Crank and the Mex of Integer Partitions

31 citations

Showing 2025Show all

11 papers · 1 filter

math.CO2025

Arndt and Carlitz Compositions

Brian Hopkins, Aram Tangboonduangjit

Carlitz considered integer compositions in which adjacent parts must be unequal. Arndt recently initiated the study of restricted compositions based on conditions applied to certai…

math.CO2025

Extending Andrews and Newman's refinement of the crank-mex theorem

George E. Andrews, Brian Hopkins

The crank-mex theorem states that the number of integer partitions of with nonnegative crank equals the number with odd minimal excludant (mex). Andrews and M. Newman recently…

cs.SE2025

MobileUPReg: Identifying User-Perceived Performance Regressions in Mobile OS Versions

Wei Liu, Yi Wen Heng, Feng Lin +3

Mobile operating systems (OS) are frequently updated, but such updates can unintentionally degrade user experience by introducing performance regressions. Existing detection techni…

cs.SE2025

Crash Report Enhancement with Large Language Models: An Empirical Study

S M Farah Al Fahim, Md Nakhla Rafi, Zeyang Ma +3

Crash reports are central to software maintenance, yet many lack the diagnostic detail developers need to debug efficiently. We examine whether large language models can enhance cr…

math.HO2025

Classical Fibonacci compositions

Brian Hopkins

There are three long-known types of restricted integer compositions whose counts match the Fibonacci sequence:\ one from ancient India and two from 19th century England. We give pr…

cs.SE2025

Screencast-Based Analysis of User-Perceived GUI Responsiveness

Wei Liu, Linqiang Guo, Yi Wen Heng +4

GUI responsiveness is critical for a positive user experience in mobile applications. Even brief delays in visual feedback can frustrate users and lead to negative reviews. However…