Sums of distinct squares
Paul T. Bateman; Adolf J. Hildebrand; George B. Purdy
Acta Arithmetica (1994)
- Volume: 67, Issue: 4, page 349-380
- ISSN: 0065-1036
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topPaul T. Bateman, Adolf J. Hildebrand, and George B. Purdy. "Sums of distinct squares." Acta Arithmetica 67.4 (1994): 349-380. <http://eudml.org/doc/206637>.
@article{PaulT1994,
author = {Paul T. Bateman, Adolf J. Hildebrand, George B. Purdy},
journal = {Acta Arithmetica},
keywords = {greedy algorithm; largest integer not expressible as sum of distinct squares; sum of first nonzero squares; asymptotic formula; difference; upper bound},
language = {eng},
number = {4},
pages = {349-380},
title = {Sums of distinct squares},
url = {http://eudml.org/doc/206637},
volume = {67},
year = {1994},
}
TY - JOUR
AU - Paul T. Bateman
AU - Adolf J. Hildebrand
AU - George B. Purdy
TI - Sums of distinct squares
JO - Acta Arithmetica
PY - 1994
VL - 67
IS - 4
SP - 349
EP - 380
LA - eng
KW - greedy algorithm; largest integer not expressible as sum of distinct squares; sum of first nonzero squares; asymptotic formula; difference; upper bound
UR - http://eudml.org/doc/206637
ER -
References
top- [HK] F. Halter-Koch, Darstellung natürlicher Zahlen als Summe von Quadraten, Acta Arith. 42 (1982), 11-20. Zbl0494.10036
- [Ka] M. Kassner, Darstellungen mit Nebenbedingungen durch quadratische Formen, J. Reine Angew. Math. 331 (1982), 151-161. Zbl0468.10011
- [PS] G. Pólya and G. Szegö, Problems and Theorems in Analysis, Vol. II, Springer, Berlin, 1978.
- [Va] R. C. Vaughan, The Hardy-Littlewood Method, Cambridge University Press, Cambridge, 1981.
- [Wr] E. M. Wright, The representation of a number as a sum of five or more squares, Quart. J. Math. Oxford Ser. 4 (1933), 37-51. Zbl0006.25003
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