English

Three-term Machin-type formulae

Number Theory 2025-03-04 v6

Abstract

We shall show that there exist only finitely many nondegenerate three-term Machin-type formulae and give explicit upper bounds for the sizes of variables.

Cite

@article{arxiv.1811.09273,
  title  = {Three-term Machin-type formulae},
  author = {Tomohiro Yamada},
  journal= {arXiv preprint arXiv:1811.09273},
  year   = {2025}
}

Comments

24 pages, some errors corrected, calcuation based on another preprint arXiv:1906.00419, see https://tyamada1093.web.fc2.com/math/files/deq0014revision.txt

R2 v1 2026-06-23T05:24:52.028Z