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Carsten ELSNER Dr.rer.nat.habil.Dipl.Math. geb. am 10.11.1961 Universität Hannover, Institut für Mathematik Welfengarten 1 D-30167 Hannover (Germany) |
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Arbeitsgebiete: Analytische Zahlentheorie, Diophantische Approximation, Universelle Differentialgleichungen
(Analytic Number Theory, Diophantine
Approximation, Universal Differential Equations)
Zur Vorlesung “Grundlagen der
diophantischen Approximation” im Sommersemester 2005
Schriften:
"On Mahler's
approximation function for powers of certain algebraic
numbers",
Studia Scientiarum
Mathematicarum Hungarica 27 (1992),
147-158.
"On the
approximation of continuous functions by C(infinity) -solutions of third order
algebraic
differential
equations",
Mathematische Nachrichten
157 (1992), 235-241.
"On a sequence
transformation with integral coefficients for Euler's
constant",
Proceedings of the AMS
123, no.5 (1995), 1537-1541.
"On the
approximation of irrational numbers with rationals restricted by congruence
relations",
The Fibonacci Quarterly
34, no.1 (1996), 18-29.
"On inhomogeneous
approximation to irrational numbers with arithmetical
conditions",
Abh.Math.Sem.Univ.Hamburg
66 (1996), 223-228.
"On the
approximation of irrationals by rationals",
Mathematische Nachrichten
189 (1998), 243-256.
"A metric result
concerning the approximation of real numbers by continued
fractions",
The Fibonacci Quarterly
36, no.4 (1998), 290-294.
mit J.W.Sander: "On
the exact height of integer-detecting sequences",
Journal of Number Theory
73 (1998), 1-13.
"A universal
functional equation",
Proceedings of the AMS
127, no. 1 (1999), 139-143.
"On arithmetic
properties of the convergents of Euler's number",
Colloquium Mathematicum
79, no. 1 (1999), 133-145.
"On rational
approximations with denominators from thin sets",
Abh.Math.Sem.Univ.Hamburg
69 (1999), 229-235.
"On the
representation of integers by sums of squares with terms from an arithmetic
progression",
Nieuw Archief voor Wiskunde 17, no. 3 (1999), 331-341.
"Der Dialog der Schwestern",
c't magazin für computer technik 25 (1999), 288-296.
"On diophantine
approximations with rationals restricted by arithmetical
conditions",
The Fibonacci Quarterly
38, no.1 (2000), 25-34.
"A universal
differential equation of degree six",
Journal of Mathematical
Analysis and Applications 244 (2000),
533-541.
mit J.W.Sander: "On
the distribution of residue classes of quadratic forms and integer-detecting
sequences in number
fields",
Studia Scientiarum
Mathematicarum Hungarica 36 (2000),
123-152.
"Über eine effektive Konstruktion großer Mengen algebraisch unabhängiger Zahlen",
Mathematische
Semesterberichte 47 (2000), 243-256.
Journal of Mathematical
Analysis and Applications 256 (2001),
324-338.
mit J.W.Sander und J.Steuding: "Kettenbrüche als Summe
ebensolcher"
(English
version),
Mathematica Slovaca
51 (2001), no.3, 281-293.
"Das chinesische Labyrinth",
c't magazin für computer technik 21 (2001), 308-312; (www.heise.de/ct Rubrik Magazin).
Analysis
21 (2001), 327-337.
Acta Sci.Math.(Szeged)
67 (2001), 697-708.
"On an universal functional equation of degree
six"
Applied Nonlinear Analysis
9 (2002) no.3, 23-29.
"On rational approximation with denominators from
thin sets, I I ",
Abh.Math.Sem.Univ.Hamburg
72 (2002), 35-45.
"On inhomogeneous diophantine approximations with
rational terms and applications to
elliptic and
trigonometric functions",
Resultate der Mathematik
42 (2002), 235-251.
"On a linear transcendence measure for the solutions
of a universal differential equation
Journal of Mathematical
Analysis and Applications 279
(2003), 684-699.
"On rational approximations by Pythagorean
numbers",
The Fibonacci Quarterly 41 no.2 (2003),
98-104.
"On the approximation of continuous functions by
analytic solutions of universal functional-
Studia Scientiarum
Mathematicarum Hungarica 41 (1)
(2004), 1-15.
Journal of Mathematical
Analysis and Applications 295
(2004), 315-330.
"Höhere Mathematik an der
Balkenwaage"
Elemente der Mathematik 59 (2004), 151-170.
"On a method to transform algebraic differential
equations into universal equations",
Abh.Math.Sem.Univ.Hamburg 74 (2004), 33-48.
"On recurrence formulae for sums involving binomial
coefficients",
The Fibonacci Quarterly 43 no.1 (2005),
31-45.
"On a system of universal partial differential
equations",
(submitted paper)
"Über gewisse Lösungen universeller Differentialgleichungen in algebraischen Punkten",
(submitted paper)
Nicht veröffentlichte Arbeiten
(Preprintreihe des Instituts für Mathematik der Universität Hannover)
"Uniform
distribution of certain sequences of irrational numbers depending on primes in
arithmetic
progressions", (Nr. 289), 1999.
"On sums with
binomial coefficients", (Nr. 290), 1999.
"On a
generalization of Hall's theorem for sums of continued
fractions",
(Nr. 296), 1999.
"A contribution to
the metrical theory of diophantine approximation", (Nr. 300),
1999.
"On a universal
differential equation for analytic functions on the real
line", (Nr.
323), 2004.
Dissertation und Habilitationsschrift
Dissertation (thesis):
"Über Ausnahmemengen bei zwei Varianten des Waringschen Problems für Kuben",
(On exceptional sets in Waring's problem for
cubes)
(Universität Hannover, 1990)
Habilitationsschrift:
"Kongruenzbedingungen bei der diophantischen Approximation von reellen Irrationalzahlen",
(Universität Hannover, 1997)
E-Mail: Dr.Carsten Elsner
Letzte Änderung: 02.05.2005