Two proofs of transcendency of π and e

Jaroslav Hančl

Czechoslovak Mathematical Journal (1985)

  • Volume: 35, Issue: 4, page 543-549
  • ISSN: 0011-4642

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Hančl, Jaroslav. "Two proofs of transcendency of $\pi $ and $e$." Czechoslovak Mathematical Journal 35.4 (1985): 543-549. <http://eudml.org/doc/13541>.

@article{Hančl1985,
author = {Hančl, Jaroslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {transcendency of real algebraic powers of exponential function; transcendency of },
language = {eng},
number = {4},
pages = {543-549},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Two proofs of transcendency of $\pi $ and $e$},
url = {http://eudml.org/doc/13541},
volume = {35},
year = {1985},
}

TY - JOUR
AU - Hančl, Jaroslav
TI - Two proofs of transcendency of $\pi $ and $e$
JO - Czechoslovak Mathematical Journal
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 4
SP - 543
EP - 549
LA - eng
KW - transcendency of real algebraic powers of exponential function; transcendency of
UR - http://eudml.org/doc/13541
ER -

References

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  1. A. О. Gelfond, Evaluation of finite differences, (Russian), Nauka, Moskva, 1967. (1967) MR0216186
  2. С. Hermite, Sur la fonction exponentielle, Compt. Rend. Acad. Sci., Paris 77, 1873, 18-24, 74-79, 226-233, 285-293, (Euvres 3, 150-181). Zbl22.0508.01
  3. F. Lindemann, Über die Zahl π , Math. Ann. 20, 1882, 213-225. Zbl24.0047.05MR1510165
  4. Ju. V. Nesterenko, On the number π and Lindemann’s theorem, (Russian), CMUC 20, 2, 1979, 335-343. (1979) Zbl0425.10040MR0539562
  5. B. Novák, A remark to a paper of J. F. Koksma, Nieuw. Arch. Wis. (3), 23, 1975, 195-197. (1975) Zbl0313.10033MR0406941

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