Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

Hereditarily pythagorean fields, infinite Harrison-primes and sums of $2^n$th powers


Author: Eberhard Becker
Journal: Bull. Amer. Math. Soc. 84 (1978), 278-280
MSC (1970): Primary 12D15, 12E99
MathSciNet review: 0460295
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. Eberhard Becker, Valuations and real places in the theory of formally real fields, Real algebraic geometry and quadratic forms (Rennes, 1981) Lecture Notes in Math., vol. 959, Springer, Berlin-New York, 1982, pp. 1–40. MR 683127
  • 2. Ludwig Bröcker, Characterization of fans and hereditarily Pythagorean fields, Math. Z. 151 (1976), no. 2, 149–163. MR 0422233
  • 3. Wulf-Dieter Geyer, Unendliche algebraische Zahlkörper, über denen jede Gleichung auflösbar von beschränkter Stufe ist, J. Number Theory 1 (1969), 346–374 (German). MR 0282946
  • 4. D. K. Harrison, Finite and infinite primes for rings and fields, Mem. Amer. Math. Soc. No. 68 (1966), 62. MR 0207735
  • 5. D. K. Harrison and Hoyt D. Warner, Infinite primes of fields and completions, Pacific J. Math. 45 (1973), 201–216. MR 0379456
  • 6. David Hilbert, Beweis für die Darstellbarkeit der ganzen Zahlen durch eine feste Anzahl 𝑛^{𝑡𝑒𝑟} Potenzen (Waringsches Problem), Math. Ann. 67 (1909), no. 3, 281–300 (German). MR 1511530, 10.1007/BF01450405
  • 7. Jean-René Joly, Sommes de puissances 𝑑-ièmes dans un anneau commutatif, Acta Arith. 17 (1970), 37–114 (French). MR 0263779

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 12D15, 12E99

Retrieve articles in all journals with MSC (1970): 12D15, 12E99


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1978-14474-7