PulseTrendingJournal ClubResearchersJournalsExplore
Instagram
HomeTrendingJournal ClubExplore
Synapse
⌘+K
Synapse
September 12, 2025Research in the Mathematical SciencesOpen Access

Euler-type recurrences for t-color and t-regular partition functions

View Full Paper
Ask AI
Bookmark
Share

Authors

TBTapas BhowmikWTWei‐Lun TsaiDYDongxi Ye

Discussion

Loading...

Member takes

Overview

This research demonstrates Euler-like formulas for t-color partition functions, highlighting their structural significance.

Key Points

  • The findings reveal Euler-like recursive formulas for t-color partition functions when t equals 2 or 3, enhancing mathematical understanding.
  • An infinite family of triangular number recurrences for the 3-colored partition function is established, contributing to partition theory.
  • The approach heavily utilizes q-series identities, linking to previous works on ordinary partition functions and expanding theoretical boundaries.
  • These results may enable deeper exploration into partition functions and their applications in combinatorial mathematics.

Cite This Study

Bhowmik et al. (2025) studied this question.

synapsesocial.com/papers/68d44c4631b076d99fa55aa3https://doi.org/10.1007/s40687-025-00546-2
View Full Paper
Ask AI
Bookmark
Share