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J. Tichý H. Fleischner J. Schoissengeier H. Rindler N. Hofreiter F. Haslinger H. G. Feichtinger P. Michor K. Sigmund H. Muthsam J. Hejtmanek H. C. Reichel W. Grossmann 《Monatshefte für Mathematik》1977,84(2):165-176
Ohne Zusammenfassung 相似文献
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J. Schoissengeier 《Monatshefte für Mathematik》2000,77(1):147-151
Let x be a real number, α an irrational number with continued fraction expansion and convergents a positive integer, be chosen such that the fractional part of x and J. Beck [1] proved that We give a shorter proof, thereby using Dedekind sums. We may (and do) assume w.l.o.g. that . There are non-negative integers such that and (the so-called Ostrowski-expansion of N with respect to α). Let us put for and, for . Then . Let us finally put and, for and . 相似文献
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Johannes Schoissengeier 《Monatshefte für Mathematik》1992,114(2):139-147
A proof of the formula
for locally compact fields
andC
1-isomorphisms :UV, whereU andV are open subsets of
, was never published. In this paper we give two short proofs, one of them is a more elementary variant of the other. 相似文献
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J. Tichý H. Mitsch J. Schoissengeier H. G. Feichtinger H. C. Reichel E. Kotzmann N. Hofreiter H. Rindler J. Hejtmanek H. Muthsam K. Sigmund E. Hlawka 《Monatshefte für Mathematik》1977,84(4):341-347
Ohne Zusammenfassung 相似文献
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We consider the g-ary expansion N=∑
k
b
k
(N, g)g
k
of non-negative integers N and prove various results on the distribution and the mean value of the k-th digit b
k
(N, g) if g varies in an interval of the form 2≤g≤N
η. As an application we also consider the average value of the sum-of-digits function s(N, g)=∑
k
b
k
(N, g).
Received 5 November 2001
RID="a"
ID="a" Dedicated to Professor Edmund Hlawka on the occasion of his 85th birthday 相似文献