Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

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

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Axiomatic characterization of fields by the product formula for valuations
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by Emil Artin and George Whaples PDF
Bull. Amer. Math. Soc. 51 (1945), 469-492
References
    1. E. Artin, Über die Bewertungen algebraischer Zahlkörper, Journal für Mathematik vol. 167 (1932) pp. 157-159. 2. C. Chevalley, Sur la théorie du corps de classes dans les corps finis et les corps locaux, Journal of College of Sciences, Tokyo, 1933, II, part 9. 3. C. Chevalley, Généralization de la théorie de corps de classes pour les extensions infinies, Journal de mathématiques pures et appliquées (9) vol. 15 (1936) pp. 359-371.
  • C. Chevalley, La théorie du corps de classes, Ann. of Math. (2) 41 (1940), 394–418 (French). MR 2357, DOI 10.2307/1969013
  • Alexander Ostrowski, Über einige Lösungen der Funktionalgleichung $\psi (x)\cdot \psi (x)=\psi (xy)$, Acta Math. 41 (1916), no. 1, 271–284 (German). MR 1555153, DOI 10.1007/BF02422947
    • 6. A. Ostrowski, Untersuchung in der arithmetische Theorie der Körper, Parts I, II, and III, Math. Zeit. 39 (1935) pp. 269-321. 7. B. L. van der Waerden, Moderne Algebra, vol. 1, 2d ed., Berlin, 1937.
  • George Whaples, Non-analytic class field theory and Grünwald’s theorem, Duke Math. J. 9 (1942), 455–473. MR 7010
Additional Information
  • Journal: Bull. Amer. Math. Soc. 51 (1945), 469-492
  • DOI: https://doi.org/10.1090/S0002-9904-1945-08383-9
  • MathSciNet review: 0013145