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A method of verifying partition congruences by symbolic computation

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Publication:2229703
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DOI10.1016/j.jsc.2020.04.008zbMath1462.11092arXiv2004.02193OpenAlexW3018830140MaRDI QIDQ2229703

Nicolas Allen Smoot, Cristian-Silviu Radu

Publication date: 18 February 2021

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.02193


zbMATH Keywords

modular functionspartition congruencesnumber theoretic algorithm


Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)


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A single-variable proof of the omega SPT congruence family over powers of 5


Uses Software

  • 4ti2


Cites Work

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  • The Andrews-Sellers family of partition congruences
  • An algorithmic approach to Ramanujan-Kolberg identities
  • Overpartitions into distinct parts without short sequences
  • Computational proofs of congruences for \(2\)-colored Frobenius partitions
  • A family of congruences for Rogers-Ramanujan subpartitions
  • A proof of the Weierstraß gap theorem not using the Riemann-Roch formula
  • Hecke operators on \(\Gamma_0(m)\)
  • Proof of a conjecture of Ramanujan
  • Construction and Application of a Class of Modular Functions (II)†
  • Ramanujans Vermutung über Zerfällungszahlen.
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