Abschätzungen für \(\sum _{n\leq N}B_ 1(n\alpha)\). (Estimates for \(\sum _{n\leq N}B_ 1(n\alpha)\))

DOI10.1007/BF01565486zbMath0613.10011OpenAlexW2154571202MaRDI QIDQ1088707

Johannes Schoissengeier

Publication date: 1986

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01565486

zbMATH Keywords

Dedekind sumscontinued fraction expansionestimates for sums of periodic Bernoulli polynomial

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Distribution modulo one (11J71)

Related Items (5)

On sums of fractional parts \(\{na+y\}\) ⋮ On the boundedness of Weyl sums ⋮ The discrepancy of \((n\alpha)_{n\geq 1}\) ⋮ Applications of standard Sturmian words to elementary number theory ⋮ The true order of magnitude of Lamé rounding error sums

Cites Work

• On the discrepancy of (n\(\alpha\) ). II
• An exact determination of serial correlations of pseudo-random numbers
• Das Verhalten der Kleinschen Funktionen log(w1, w2) gegenüber Modultransformationen und verallgemeinerte Dedekindsche Summen.
• Notes on generalized Dedekind sums
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