The geometry of numbers over algebraic number fields
HTML articles powered by AMS MathViewer
- by K. Rogers and H. P. F. Swinnerton-Dyer PDF
- Trans. Amer. Math. Soc. 88 (1958), 227-242 Request permission
References
- Claude Chabauty, Limite d’ensembles et géométrie des nombres, Bull. Soc. Math. France 78 (1950), 143–151 (French). MR 38983
- Georg Hajós, Über einfache und mehrfache Bedeckung des $n$-dimensionalen Raumes mit einem Würfelgitter, Math. Z. 47 (1941), 427–467 (German). MR 6425, DOI 10.1007/BF01180974
- A. Korkinge and G. Zolotareff, Sur les formes quadratiques positives, Math. Ann. 11 (1877), no. 2, 242–292 (French). MR 1509914, DOI 10.1007/BF01442667
- K. Mahler, On lattice points in $n$-dimensional star bodies. I. Existence theorems, Proc. Roy. Soc. London Ser. A 187 (1946), 151–187. MR 17753, DOI 10.1098/rspa.1946.0072 H. Minkowski, Diophantische approximationen, Leipzig, B. G. Teubner, 1907, Chapter 6.
- K. Rogers, On the generators of an ideal, with an application to the geometry of numbers in unitary space $U_2$, Amer. J. Math. 77 (1955), 621–627. MR 73649, DOI 10.2307/2372588
- K. Rogers, Complex homogeneous linear forms, Proc. Cambridge Philos. Soc. 52 (1956), 35–38. MR 73650, DOI 10.1017/s0305004100030954 —, Cambridge Ph.D. Thesis, 1954, Chapter III.
- H. P. F. Swinnerton-Dyer, Inhomogeneous lattices, Proc. Cambridge Philos. Soc. 50 (1954), 20–25. MR 58659, DOI 10.1017/s0305004100029030
- Hermann Weyl, Theory of reduction for arithmetical equivalence, Trans. Amer. Math. Soc. 48 (1940), 126–164. MR 2345, DOI 10.1090/S0002-9947-1940-0002345-2
Additional Information
- © Copyright 1958 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 88 (1958), 227-242
- MSC: Primary 10.00
- DOI: https://doi.org/10.1090/S0002-9947-1958-0095160-9
- MathSciNet review: 0095160