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PreprintCC BY 4.0arXiv

Conguences for Odd Unimodal Sequences and a Problem of Bringmann And Lovejoy

  • Koustav Banerjee
  • Manosij Ghosh Dastidar
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Abstract

In this paper, we give a family of the arithmetic progressions in which the numbers of odd unimodal and odd strongly unimodal sequences are divisible by 2 and by 4. In particular, we answer a question of Bringmann and Lovejoy on the existence of such arithmetic progressions for odd strongly unimodal sequences modulo 4.

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Cite

BibTeXRIS
BibTeX
@misc{banerjee2026conguences,
  title = {{Conguences for Odd Unimodal Sequences and a Problem of Bringmann And Lovejoy}},
  author = {Koustav Banerjee and Manosij Ghosh Dastidar},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.20135},
  eprint = {2610.20135},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.20135},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Conguences for Odd Unimodal Sequences and a Problem of Bringmann And Lovejoy
AU  - Koustav Banerjee
AU  - Manosij Ghosh Dastidar
PY  - 2026
DA  - 2026/10/14
PB  - arXiv
DO  - 10.48550/arxiv.2610.20135
UR  - https://arxiv.org/abs/2610.20135
AB  - In this paper, we give a family of the arithmetic progressions in which the numbers of odd unimodal and odd strongly unimodal sequences are divisible by 2 and by 4. In particular, we answer a question of Bringmann and Lovejoy on the existence of such arithmetic progressions for odd strongly unimodal sequences modulo 4.
ER  -