Zur Metrik der Diskrepanz.
The Connection between the Zeros of the ...-Function and Sequences (g(p)), p Prime, mod 1.
Abschätzungen für ...B...(n ...).
Change of Variables in a Multiple Integral for Local Fields.
Über die Diskrepanz gewisser Folgen Mod 1 mit Hilfe Diophantischer Approximation.
Der numerische Wert gewisser Reihen.
The discrepancy of (n...)n ... 1.
On the discrepancy of (nα)
Regularity of distribution of (nα)-sequences
On the arithmetic mean of Dedekind sums
The distribution of powers of integers in algebraic number fields
For an arbitrary (not totally real) number field of degree , we ask how many perfect powers of algebraic integers in exist, such that for each embedding of into the complex field. ( a large real parameter, a fixed integer, and for any complex .) This quantity is evaluated asymptotically in the form , with sharp estimates for the remainder . The argument uses techniques from lattice point theory along with W. Schmidt’s multivariate extension of K.F. Roth’s result on the approximation...
Über einige Beispiele für Anwendungen der Theorie der Gleichverteilung
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