Mathematisches Institut der Heinrich-Heine-Universität Düsseldorf

Karin Halupczok

Publications

Deutsche Version

Publications:

• 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]

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