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Addenda and corrigenda to ``The Minkowski question mark function: explicit series for the dyadic period function and moments''
Author(s):
Giedrius
Alkauskas.
Journal:
Math. Comp.
80
(2011),
2445-2454.
MSC (2010):
Primary 11A55, 26A30, 32A05;
Secondary 40A15, 37F50, 11F37
Posted:
March 18, 2011
Original article:
Math. Comp. 79 (2010), 383-418
MathSciNet review:
2813370
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Abstract:
In this supplement we fully complete the proofs of the statements which were left out or only briefly sketched in the main paper.
References:
-
- 1.
- G. Alkauskas, The Minkowski question mark function: explicit series for the dyadic period function and moments, Math. Comp. 79 (269) (2010), 383-418. MR 2552232 (2010k:11006)
- 2.
- G. Alkauskas, The moments of Minkowski question mark function: the dyadic period function, Glasg. Math. J. 52 (1) (2010), 41-64. MR 2587817
- 3.
- H. S. WALL, Analytic theory of continued fractions, D. Van Nostrand Company, Inc., New York, N. Y., 1948. MR 0025596 (10:32d)
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MSC (2010):
11A55, 26A30, 32A05,
40A15, 37F50, 11F37
Additional Information:
Giedrius
Alkauskas
Affiliation:
Institute of Mathematics, Department of Integrative Biology, Universität für Bodenkultur Wien, Gregor Mendel-Strasse 33, A-1180 Wien, Austria, and Vilnius University, Department of Mathematics and Informatics, Naugarduko 24, LT-03225 Vilnius, Lithuania
Email:
giedrius.alkauskas@gmail.com
DOI:
10.1090/S0025-5718-2011-02479-8
PII:
S 0025-5718(2011)02479-8
Keywords:
The Minkowski question mark function,
the dyadic period function,
three-term functional equation,
analytic theory of continued fractions,
Julia sets,
the Farey tree.
Received by editor(s):
July 10, 2010
Received by editor(s) in revised form:
August 30, 2010
Posted:
March 18, 2011
Copyright of article:
Copyright
2011,
American Mathematical Society
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