A metrical theorem in geometry of numbers
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- by Wolfgang M. Schmidt PDF
- Trans. Amer. Math. Soc. 95 (1960), 516-529 Request permission
References
-
W. Blaschke, Vorlesungen ueber Differentialgeometrie II, 1st and 2nd ed., Berlin, 1923.
- J. W. S. Cassels, Some metrical theorems of Diophantine approximation. III, Proc. Cambridge Philos. Soc. 46 (1950), 219–225. MR 36789, DOI 10.1017/s0305004100025688
- Paul R. Halmos, Measure Theory, D. Van Nostrand Co., Inc., New York, N. Y., 1950. MR 0033869
- G. H. Hardy and E. M. Wright, An introduction to the theory of numbers, Oxford, at the Clarendon Press, 1954. 3rd ed. MR 0067125
- C. G. Lekkerkerker, Lattice points in unbounded point sets. I. The one-dimensional case. , Nederl. Akad. Wetensch. Proc. Ser. A 61 = Indag. Math. 20 (1958), 197–205. MR 0131404
- A. M. Macbeath and C. A. Rogers, Siegel’s mean value theorem in the geometry of numbers, Proc. Cambridge Philos. Soc. 54 (1958), 139–151. MR 103183, DOI 10.1017/s0305004100033302
- Cheng-Tung Pan, On $\sigma (n)$ and $\phi (n)$, Bull. Acad. Polon. Sci. Cl. III. 4 (1956), 637–638. MR 0082999
- C. A. Rogers, Mean values over the space of lattices, Acta Math. 94 (1955), 249–287. MR 75243, DOI 10.1007/BF02392493
- Wolfgang M. Schmidt, Mittelwerte über Gitter. II, Monatsh. Math. 62 (1958), 250–258 (German). MR 99329, DOI 10.1007/BF01303970
- Carl Ludwig Siegel, A mean value theorem in geometry of numbers, Ann. of Math. (2) 46 (1945), 340–347. MR 12093, DOI 10.2307/1969027
Additional Information
- © Copyright 1960 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 95 (1960), 516-529
- MSC: Primary 10.00
- DOI: https://doi.org/10.1090/S0002-9947-1960-0117222-9
- MathSciNet review: 0117222