Proof of a conjecture of Selmer
Acta Arithmetica (1993)
- Volume: 65, Issue: 2, page 117-135
- ISSN: 0065-1036
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topJukka Pihko. "Proof of a conjecture of Selmer." Acta Arithmetica 65.2 (1993): 117-135. <http://eudml.org/doc/206565>.
@article{JukkaPihko1993,
author = {Jukka Pihko},
journal = {Acta Arithmetica},
keywords = {regular representation; -basis; extremal regular -range; - Reichweite},
language = {eng},
number = {2},
pages = {117-135},
title = {Proof of a conjecture of Selmer},
url = {http://eudml.org/doc/206565},
volume = {65},
year = {1993},
}
TY - JOUR
AU - Jukka Pihko
TI - Proof of a conjecture of Selmer
JO - Acta Arithmetica
PY - 1993
VL - 65
IS - 2
SP - 117
EP - 135
LA - eng
KW - regular representation; -basis; extremal regular -range; - Reichweite
UR - http://eudml.org/doc/206565
ER -
References
top- [1] G. Hofmeister, Über eine Menge von Abschnittsbasen, J. Reine Angew. Math. 213 (1963), 43-57.
- [2] G. Hofmeister, Über eine Menge von Abschnittsbasen II, Norske Vid. Selsk. Forh. (Trondheim) 39 (1966), 60-65.
- [3] G. Hofmeister, Asymptotische Abschätzungen für dreielementige Extremalbasen in natürlichen Zahlen, J. Reine Angew. Math. 232 (1968), 77-101. Zbl0165.06201
- [4] A. Mrose, Die Bestimmung der extremalen regulären Abschnittsbasen mit Hilfe einer Klasse von Kettenbruchdeterminanten, Dissertation, Freie Universität Berlin, 1969.
- [5] O. Perron, Die Lehre von den Kettenbrüchen I, Teubner, Stuttgart, 1977. Zbl43.0283.04
- [6] H. Salié, Reichweite von Mengen aus drei natürlichen Zahlen, Math. Ann. 165 (1966), 196-203 Zbl0142.29401
- [7] E. S. Selmer, The Local Postage Stamp Problem I, Research Monograph, Dept. of Math., Univ. of Bergen, 1986.
- [8] S. Vajda, Fibonacci & Lucas Numbers, and the Golden Section, Horwood, Chichester, and Halsted Press [Wiley], New York, 1989.
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