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Publikationsliste Priv.-Doz. Dr. Karin Halupczok

K. Halupczok, M. Munsch: Large Sieve Estimate for Multivariate Polynomial Moduli and Applications. Monatsh Math, 197 p. 463-478 (2022)
URL: https://doi.org/10.1007/s00605-021-01641-6

Bhowmik, Gautami and Halupczok, Karin: 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 p. 25-39 (2021)
URL: https://doi.org/10.1007/978-3-030-67996-5_3

Halupczok, Karin: Bounds for discrete moments of Weyl sums and applications. Acta Arithmetica, 194 p. 1-28 (2020)
URL: https://doi.org/10.4064/aa181207-23-9

Bhowmik, Gautami and Halupczok, Karin: Asymptotics of Goldbach representations. Advanced Studies in Pure Mathematics, 84 p. 1-21 (2020)

Bhowmik, Gautami and Halupczok, Karin and Matsumoto, Kohji and Suzuki, Yuta: Goldbach representations in arithmetic progressions and zeros of Dirichlet L-functions. Mathematika, 65 p. 57-97 (2019)
URL: https://doi.org/10.1112/s0025579318000323

Halupczok, Karin: Vinogradov's mean value theorem as an ingredient in polynomial large sieve inequalities and some consequences. In: Irregularities in the distribution of prime numbers. Springer, Cham, p. 97-109 (2018)

Halupczok, Karin: A Bombieri-Vinogradov theorem with products of Gaussian primes as moduli. Funct. Approx. Comment. Math., 57 p. 77-91 (2017)
URL: https://doi.org/10.7169/facm/1618

Halupczok, Karin: Gro\ss e Fortschritte bei kleinen Primzahllücken. Math. Semesterber., 63 p. 213-226 (2016)
URL: https://doi.org/10.1007/s00591-016-0170-3

Halupczok, Karin: Large sieve inequalities with general polynomial moduli. Q. J. Math., 66 p. 529-545 (2015)
URL: https://doi.org/10.1093/qmath/hav011

Halupczok, Karin: Goldbach's problem with primes in arithmetic progressions and in short intervals. J. Théor. Nombres Bordeaux, 25 p. 331-351 (2013)
URL: http://jtnb.cedram.org/item?id=JTNB_2013__25_2_331_0

Halupczok, Karin and Suger, Benjamin: Partial sums of the Möbius function in arithmetic progressions assuming {GRH}. Funct. Approx. Comment. Math., 48 p. 61-90 (2013)

Halupczok, Karin: A new bound for the large sieve inequality with power moduli. Int. J. Number Theory, 8 p. 689-695 (2012)
URL: https://doi.org/10.1142/S179304211250039X

Halupczok, Karin: On the ternary Goldbach problem with primes in arithmetic progressions having a common modulus. J. Théor. Nombres Bordeaux, 21 p. 203-213 (2009)
URL: http://jtnb.cedram.org/item?id=JTNB_2009__21_1_203_0

Halupczok, K.: On the ternary Goldbach problem with primes in independent arithmetic progressions. Acta Math. Hungar., 120 p. 315-349 (2008)
URL: https://doi.org/10.1007/s10474-008-7068-z

Halupczok, K.: Zum ternären Goldbachproblem mit Kongruenzbedingungen an die Primzahlen. In: Elementare und analytische Zahlentheorie. Vol. 20, (Schr. Wiss. Ges. Johann Wolfgang Goethe Univ. Frankfurt am Main), Franz Steiner Verlag Stuttgart, Stuttgart, p. 57-64 (2006)

Halupczok, Karin: On the number of representations in the ternary Goldbach problem with one prime number in a given residue class. J. Number Theory, 117 p. 292-300 (2006)
URL: https://doi.org/10.1016/j.jnt.2005.06.003

Baur, Walter and Halupczok, Karin: On lower bounds for the complexity of polynomials and their multiples. Comput. Complexity, 8 p. 309-315 (1999)
URL: https://doi.org/10.1007/s000370050001