Skip to content
DraconiticResearch
Search Sources API
201,683 studies31 sourcesUpdated 36 min ago
PreprintarXiv licencearXiv

Asymptotic Formula for Biregular Overpartitions

  • Jayanta Barman
Open at sourcePDFDOICite

Abstract

Let p̅s,t(N) be the number of overpartitions of N into parts that are not divisible by s or t. In this paper, we obtain asymptotic formulas for p̅s,t(N) for relatively prime integers s>t≥ 10 via the saddle-point method. Our results cover different ranges of the parameters s and t relative to N. As an application, we show that p̅s,t(N) satisfies higher-order Turán inequalities for all sufficiently large N by using a result of Griffin, Ono, Rolen, and Zagier.

Related

  1. Asymptotic and Arithmetic Aspects of Generalized Colored Overpartitions
    Anakha V, Chiranjit Ray
    arXivPreprintCC BY-NC-SA 4.0Full textAlgebra & number theoryarXiv
  2. Yet another asymptotic formula for implied volatility
    Masaaki Fukasawa
    arXivPreprintarXiv licenceFull textProbabilityarXiv
  3. An asymptotic formula for a cubic moment of GL2 L-functions
    Catinca Mujdei
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  4. Asymptotic Formula of the Lifespan of Classical Solutions to 1D Quasilinear Wave Equations
    Yuusuke Sugiyama, Taro Yamanoi
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  5. Unbalanced distance-biregular graphs with girth deficiency two
    Sebastiano Argenti, Alessandro Siciliano
    arXivPreprintCC BY-NC-ND 4.0Full textCombinatorics & discrete mathematicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{barman2026asymptotic,
  title = {{Asymptotic Formula for Biregular Overpartitions}},
  author = {Jayanta Barman},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.14538},
  eprint = {2609.14538},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.14538},
}
RIS
TY  - UNPB
TI  - Asymptotic Formula for Biregular Overpartitions
AU  - Jayanta Barman
PY  - 2026
DA  - 2026/09/13
PB  - arXiv
DO  - 10.48550/arxiv.2609.14538
UR  - https://arxiv.org/abs/2609.14538
AB  - Let p̅_s,t(N) be the number of overpartitions of N into parts that are not divisible by s or t. In this paper, we obtain asymptotic formulas for p̅_s,t(N) for relatively prime integers s>t≥ 10 via the saddle-point method. Our results cover different ranges of the parameters s and t relative to N. As an application, we show that p̅_s,t(N) satisfies higher-order Turán inequalities for all sufficiently large N by using a result of Griffin, Ono, Rolen, and Zagier.
ER  -