Karin Halupczok
Publications
Diploma thesis: Euklidische
Zahlkörper
Publications:
(downloadable versions are preprints)
- W. Baur, K. Halupczok:
On lower bounds
for the complexity of polynomials and their multiples.
Computational Complexity 8 (1999), S. 309--315.
- K. Halupczok:
Zur algebraischen Komplexität von
Polynomen und ihren Vielfachen.
Hartung-Gorre Verlag, Konstanz 2001. (Dissertation)
- K. Halupczok:
Zum ternären Goldbachproblem mit
Kongruenzbedingungen an die Primzahlen. Elementare und
analytische Zahlentheorie, 57--64, Schr. Wiss. Ges. Johann
Wolfgang Goethe Univ. Frankfurt am Main, 20, Franz Steiner Verlag
Stuttgart, Stuttgart, 2006.
- K. Halupczok:
On the number of representations in
the ternary Goldbach problem with one prime number in a given
residue class. J. Number Theory 117 (2006), no. 2,
292--300.
- K. Halupczok:
On the ternary Goldbach
problem with primes in independent arithmetic
progressions.
Acta Math. Hungar., 120 (4) (2008), 315-349.
- K. Halupczok:
Einführung in die additive Zahlentheorie,
Lecture in winter 2007/2008, online publication at the Freiburger
Dokumentenserver http://www.freidok.uni-freiburg.de/volltexte/4965
- K. Halupczok:
On the ternary Goldbach
problem with primes in arithmetic progressions having a common
modulus. J. Theor. Nombres Bordeaux 21
(2009), no. 1, 203--213.
- K. Halupczok: A new bound for the large sieve inequality
with power moduli. Int. J. Number Theory 8 (2012), no. 3,
689--695. Preprint:
arXiv:1109.3975v1
[math.NT]
- K. Halupczok, B. Suger: Partial sums of the Möbius
function in arithmetic progressions assuming GRH,
Functiones et Approximatio 48.1 (2013), 61--90.
Preprint:
arXiv:1111.3305v1 [math.NT]
- K. Halupczok: Goldbach's problem with primes in arithmetic
progressions and in short intervals, J. Theor. Nombres Bordeaux 25
no. 2 (2013), p. 331--351. Preprint:
arXiv:1212.4406v1
[math.NT]
- K. Halupczok: Large sieve inequalities with general polynomial moduli,
Q. J. Math. 66 (2015), no. 2, 529--545; doi: 10.1093/qmath/hav011
- K. Halupczok: Große Fortschritte bei kleinen Primzahllücken,
Math. Semesterber. 63 (2016), no. 2, 213--226; doi: 10.1007/s00591-016-0170-3
- K. Halupczok: A Bombieri--Vinogradov Theorem with products of
Gaussian primes as moduli,
Functiones et Approximatio 57.1 (2017), 77--91,
doi: 10.7169/facm/1618, Link
- G. Bhowmik, K. Halupczok, K. Matsumoto, Y. Suzuki:
Goldbach Representations in Arithmetic Progressions and zeros of
Dirichlet L-functions, Mathematika 65 (2019), 57--97.
Preprint:
arXiv:1704.06103
[math.NT]
- K. Halupczok: Vinogradov's Mean Value Theorem as an
Ingredient in Polynomial Large Sieve
Inequalities and Some Consequences, in:
Irregularities in the Distribution of Prime Numbers -
From the Era of Helmut Maier's Matrix Method and Beyond,
Editors: János Pintz, Michael Th. Rassias;
Springer, Cham, 97--109 (2018),
Springer-Link
- G. Bhowmik, K. Halupczok: Asymptotics of Goldbach representations,
Advanced Studies in Pure Mathematics, Volume 84:
Various Aspects of Multiple Zeta Functions
- in honor of Professor Kohji Matsumoto's 60th birthday,
Tokyo: Mathematical Society of Japan, 2020,
1--21; Preprint:
arXiv:1809.06920
[math.NT]
- K. Halupczok: Bounds for discrete moments of Weyl sums and applications, Acta Arithmetica 194.1 (2020),
Preprint: arXiv:1804.05587 [math.NT]
- G. Bhowmik, K. Halupczok: Conditional Bounds on Siegel Zeros,
in: Nathanson M.B. (eds) Combinatorial and Additive Number Theory IV.
CANT 2020. Springer Proceedings in Mathematics & Statistics, vol 347 (2021). Springer, Cham.
Preprint:
arXiv:2010.01308
[math.NT]
- K. Halupczok, M. Munsch: Large Sieve Estimate for
Multivariate Polynomial Moduli and Applications,
Monatsh Math 197, 463--478 (2022);
https://doi.org/10.1007/s00605-021-01641-6
Preprint: arxiv:2110.13257
[math.NT]
-
K. Halupczok, M. Ohst: Density properties of fractions with Euler's totient function,
accepted by Involve, a Journal of Mathematics.
Since august 2006: Reviewer for Mathematical Reviews.
Karin Halupczok
(karin.halupczok@uni-duesseldorf.de)
Verantwortlich für den Inhalt:
Karin Halupczok
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