@inproceedings{Nakatsuka:2023vb,
  author = "Nakatsuka, Takao  and  Okei, Kazuhide",
  title = "{Formulae to predict the excess-path-length distribution of cascade-shower electrons}",
  doi = "10.22323/1.444.0681",
  booktitle = "Proceedings of 38th International Cosmic Ray Conference {\textemdash} PoS(ICRC2023)",
  year = 2023,
  volume = "444",
  pages = "681"
}