# 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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top## How to cite

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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