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May 24, 2026International Journal of Number Theory

Congruences modulo powers of 3 for generalized Frobenius partitions C Ψ 6,0

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Authors

DCDandan ChenSYSiyu Yin

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Overview

Randomized trial establishes congruences for (6,0)-colored Frobenius partitions, indicating new partition relationships.

Key Points

  • This research aims to prove new congruences for (6,0)-colored Frobenius partition functions modulo powers of 3.
  • Developed on previous congruence results for partition functions
  • Established a link using Atkin-Lehner involution
  • Focused on (6,0)-colored Frobenius partition functions
  • New congruences for (6,0)-colored Frobenius partition functions modulo powers of 3
  • Demonstrated a connection between generating functions of different partition types
  • Validated past conjectures on partition function congruences

Cite This Study

Chen et al. (2026) studied this question.

synapsesocial.com/papers/6a1296d548a0ea1665673e9dhttps://doi.org/10.1142/s1793042126501083
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