@article{Nakatsuka:2023vb,
  author = "Nakatsuka, Takao",
  title = "{Formulae to predict the excess-path-length distribution of cascade-shower electrons}",
  doi = "10.22323/1.444.0681",
  journal = "PoS",
  year = 2023,
  volume = "ICRC2023",
  pages = "681"
}