Nicolas Allen Smoot

Publications

This is a list of my publications. Every paper should be available on the arXiv, and I am always happy to send preprints to anybody who asks via email (nicolas.allen.smoot@univie.ac.at)

  • “On the Classification of Modular Congruence Families,” (submitted) https://arxiv.org/abs/2403.10681.
  • With James A. Sellers, “Old Meets New: Connecting Two Infinite Families of Congruences Modulo Powers of 5 for Generalized Frobenius Partition Functions” (submitted) https://arxiv.org/abs/2402.18509.
  • With Michael J. Schlosser, “A Finite-Bound Partition Equinumerosity Result Generalizing a Solution of a Problem Posed by Andrews and Deutsch,” (submitted) https://arxiv.org/abs/2312.09973
  • With Koustav Banerjee, “2-Elongated Plane Partitions and Powers of 7: The Localization Method Applied to a Genus 1 Congruence Family,” (submitted) https://arxiv.org/abs/2306.15594
  • With Koustav Banerjee, “The Localization Method Applied to k-Elongated Plane Partitions and Divisibility by 5,” (submitted) https://arxiv.org/abs/2208.07065
  • “Divisibility Arising From Addition: The Application of Modular Functions to Infinite Partition Congruence Families,” Applied Mathematical Analysis and Computation—1st SGMC, Statesboro, Georgia, U.S., Springer, April 2–3, 2021 (Conference Proceedings, to appear) https://arxiv.org/abs/2209.05896
  • With James A. Sellers, “On the Divisibility of 7-Elongated Plane Partition Diamonds by Powers of 8,” International Journal of Number Theory Volume 20 (1), pp. 267-282 (2024), https://doi.org/10.1142/S1793042124500131.
  • “A Congruence Family For 2-Elongated Plane Partitions: An Application of the Localization Method,” Journal of Number Theory Volume 242, pp. 112-153 (2023), https://doi.org/10.1016/j.jnt.2022.07.014.
  • “A Single-Variable Proof of the Omega SPT Congruence Family Over Powers of 5,” Ramanujan Journal Volume 62, pp. 1-45 (2023), https://doi.org/10.1007/s11139-023-00747-9.
  • “On the Computation of Identities Relating Partition Numbers in Arithmetic Progressions with Eta Quotients: An Implementation of Radu’s Algorithm,” Journal of Symbolic Computation Volume 104, pp. 276-311 (2021), https://doi.org/10.1016/j.jsc.2020.05.003.
  • “A Method of Verifying Partition Congruences by Symbolic Computation,” Journal of Symbolic Computation Volume 104, pp. 105-133 (2021), https://doi.org/10.1016/j.jsc.2020.04.008.
  • “A Family of Congruences for Rogers–Ramanujan Subpartitions,” Journal of Number Theory Volume 196, pp. 35-60 (2019), https://doi.org/10.1016/j.jnt.2018.09.025.
  • Solution 11908 II: “A Generalized Bijection for Partitions,” The American Mathematical Monthly, Volume 125 (3) (2018), https://www.jstor.org/stable/48661872.
  • “A Partition Function Connected with the Göllnitz–Gordon Identities,” Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory, Volume 2, Springer International, pp. 373-400 (2017), https://doi.org/10.1007/978-3-319-51593-9_14.