On sums and differences of primes and squares

Achim Zulauf

Compositio Mathematica (1956-1958)

  • Volume: 13, page 103-112
  • ISSN: 0010-437X

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Zulauf, Achim. "On sums and differences of primes and squares." Compositio Mathematica 13 (1956-1958): 103-112. <http://eudml.org/doc/88824>.

@article{Zulauf1956-1958,
author = {Zulauf, Achim},
journal = {Compositio Mathematica},
keywords = {Number Theory},
language = {eng},
pages = {103-112},
publisher = {Kraus Reprint},
title = {On sums and differences of primes and squares},
url = {http://eudml.org/doc/88824},
volume = {13},
year = {1956-1958},
}

TY - JOUR
AU - Zulauf, Achim
TI - On sums and differences of primes and squares
JO - Compositio Mathematica
PY - 1956-1958
PB - Kraus Reprint
VL - 13
SP - 103
EP - 112
LA - eng
KW - Number Theory
UR - http://eudml.org/doc/88824
ER -

References

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  1. J.G. Van Der Corput [1] Ueber Summen von Primzahlen und Primzahlquadraten, Math. Annalen116 (1938), 1-50. Zbl0019.19602JFM64.0132.01
  2. N.G. Čudacov (TCHUDAKOFF) [2] On Goldbach-Vinogradov's theorem, Annals of Math. (2) 48 (1947), 515—542. G.H. Hardy [3] On the representation of a number as a sum of any number of squares, and in particular of five, Transact. American Math. Soc.21 (1920), 255-284. [4] Divergent series, Oxford1949. 
  3. G.H. Hardy and J.E. Littlewood [5] Some problems of partitio numerorum III, Acta math. 44 (1922), 1—70. Zbl48.0143.04JFM48.0143.04
  4. H.D. Kloosterman [6] Over het splitsen van positieve geheele getallen in een som van kwadraten, Dissertation Groningen1924. Zbl50.0095.05JFM50.0095.05
  5. J.C. Kluyver [7] Verallgemeinerung einer bekannten Formel, Nieuw Archiv for Wiskunde (2) 4 (1900), 284—291. Zbl31.0437.02JFM31.0437.02
  6. E. Lindeloef [8] Le calcul des residues, Paris1905. 
  7. Ju V. Linnik [9] A new proof of Goldbach-Vinogradov's theorem, Rec. (Sbornik) Math.Moscou (NS) 19 (61) (1946), 3—8. Zbl0063.03589
  8. H.E. Richert [10] Aus der additiven Zahlentheorie, Journal f. Math.191 (1953), 179—198. Zbl0050.27101
  9. A. Zulauf [11] Zur additiven Zerfällung natürlicher Zahlen in Primzahlen und Quadrate, Archiv d. Math., vol. 3 (1952), 322—333. [12] Ueber die Darstellung natürlicher Zahlen als Summen von Primzahlen aus gegebenen Restklassen und Quadraten mit gegebenen Koeffizienten, I, Journal f. Math.192 (1953), 210-229. [13] ditto, II, Journal f. Math.193 (1954), 39-53. [14] ditto, III, Journal f. Math, 193 (1954), 54-64. Zbl0056.03903

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