Nowak, Werner Georg Refined estimates for exponential sums and a problem concerning the product of three \(L\)-series. (English) Zbl 1431.11102 Elsholtz, Christian (ed.) et al., Number theory – Diophantine problems, uniform distribution and applications. Festschrift in honour of Robert F. Tichy’s 60th birthday. Cham: Springer. 333-345 (2017). MSC: 11L07 11M41 11N37 PDFBibTeX XMLCite \textit{W. G. Nowak}, in: Number theory -- Diophantine problems, uniform distribution and applications. Festschrift in honour of Robert F. Tichy's 60th birthday. Cham: Springer. 333--345 (2017; Zbl 1431.11102) Full Text: DOI
Nowak, Werner Georg Lattice points in bodies of rotation with a dent. (English) Zbl 1407.11116 Int. J. Number Theory 12, No. 2, 567-583 (2016). MSC: 11P21 11K38 PDFBibTeX XMLCite \textit{W. G. Nowak}, Int. J. Number Theory 12, No. 2, 567--583 (2016; Zbl 1407.11116) Full Text: DOI
Nowak, Werner Georg Integer points in large bodies. (English) Zbl 1360.11091 Rassias, Themistocles M. (ed.) et al., Topics in mathematical analysis and applications. Cham: Springer (ISBN 978-3-319-06553-3/hbk; 978-3-319-06554-0/ebook). Springer Optimization and Its Applications 94, 583-599 (2014). MSC: 11P21 PDFBibTeX XMLCite \textit{W. G. Nowak}, Springer Optim. Appl. 94, 583--599 (2014; Zbl 1360.11091) Full Text: DOI
Nowak, Werner Georg; Tóth, László On the average number of subgroups of the group \(\mathbb Z_m\times\mathbb Z_n\). (English) Zbl 1307.11098 Int. J. Number Theory 10, No. 2, 363-374 (2014). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 11N45 20K01 20K27 PDFBibTeX XMLCite \textit{W. G. Nowak} and \textit{L. Tóth}, Int. J. Number Theory 10, No. 2, 363--374 (2014; Zbl 1307.11098) Full Text: DOI arXiv
Nowak, Werner Georg On Ramanujan sums over the Gaussian integers. (English) Zbl 1340.11080 Math. Slovaca 63, No. 4, 725-732 (2013). Reviewer: Angel V. Kumchev (Towson) MSC: 11N37 11L03 PDFBibTeX XMLCite \textit{W. G. Nowak}, Math. Slovaca 63, No. 4, 725--732 (2013; Zbl 1340.11080) Full Text: DOI
Kühleitner, Manfred; Nowak, Werner Georg On a question of A. Schinzel: Omega estimates for a special type of arithmetic functions. (English) Zbl 1294.11166 Cent. Eur. J. Math. 11, No. 3, 477-486 (2013). Reviewer: Eira J. Scourfield (Egham) MSC: 11N37 11A05 11A25 11L07 PDFBibTeX XMLCite \textit{M. Kühleitner} and \textit{W. G. Nowak}, Cent. Eur. J. Math. 11, No. 3, 477--486 (2013; Zbl 1294.11166) Full Text: DOI arXiv
Nowak, Werner Georg The average size of Ramanujan sums over quadratic number fields. (English) Zbl 1305.11081 Arch. Math. 99, No. 5, 433-442 (2012). Reviewer: László Tóth (Pécs) MSC: 11N37 11L05 11L07 11R11 PDFBibTeX XMLCite \textit{W. G. Nowak}, Arch. Math. 99, No. 5, 433--442 (2012; Zbl 1305.11081) Full Text: DOI
Krätzel, Ekkehard; Nowak, Werner Georg; Tóth, László On certain arithmetic functions involving the greatest common divisor. (English) Zbl 1285.11120 Cent. Eur. J. Math. 10, No. 2, 761-774 (2012). Reviewer: Eira J. Scourfield (Egham) MSC: 11N37 11A05 11A25 11L07 PDFBibTeX XMLCite \textit{E. Krätzel} et al., Cent. Eur. J. Math. 10, No. 2, 761--774 (2012; Zbl 1285.11120) Full Text: DOI
Nowak, W. G. Higher order derivative tests for exponential sums incorporating the discrete Hardy-Littlewood method. (English) Zbl 1299.11062 Acta Math. Hung. 134, No. 1-2, 12-28 (2012). MSC: 11L40 11K38 11P21 PDFBibTeX XMLCite \textit{W. G. Nowak}, Acta Math. Hung. 134, No. 1--2, 12--28 (2012; Zbl 1299.11062) Full Text: DOI
Krätzel, Ekkehard; Nowak, Werner Georg The lattice discrepancy of certain three-dimensional bodies. (English) Zbl 1258.11087 Monatsh. Math. 163, No. 2, 149-174 (2011). Reviewer: Adam J. Harper (Montreal) MSC: 11P21 11N37 11K38 52C07 PDFBibTeX XMLCite \textit{E. Krätzel} and \textit{W. G. Nowak}, Monatsh. Math. 163, No. 2, 149--174 (2011; Zbl 1258.11087) Full Text: DOI arXiv
Nowak, Werner Georg A lower bound for the error term in Weyl’s law for certain Heisenberg manifolds. II. (English) Zbl 1270.11097 Cent. Eur. J. Math. 7, No. 3, 452-462 (2009). MSC: 11N37 35P20 58J50 11P21 PDFBibTeX XMLCite \textit{W. G. Nowak}, Cent. Eur. J. Math. 7, No. 3, 452--462 (2009; Zbl 1270.11097) Full Text: DOI arXiv
Krätzel, Ekkehard; Nowak, Werner Georg The lattice discrepancy of bodies bounded by a rotating Lamé’s curve. (English) Zbl 1253.11092 Monatsh. Math. 154, No. 2, 145-156 (2008). Reviewer: Aleksandar Ivić (Beograd) MSC: 11P21 11K38 52C07 PDFBibTeX XMLCite \textit{E. Krätzel} and \textit{W. G. Nowak}, Monatsh. Math. 154, No. 2, 145--156 (2008; Zbl 1253.11092) Full Text: DOI
Nowak, W. G. The lattice point discrepancy of a torus in \(\mathbb R^3\). (English) Zbl 1174.11079 Acta Math. Hung. 120, No. 1-2, 179-192 (2008). Reviewer: Ekkehard Krätzel (Jena) MSC: 11P21 11K38 52C07 PDFBibTeX XMLCite \textit{W. G. Nowak}, Acta Math. Hung. 120, No. 1--2, 179--192 (2008; Zbl 1174.11079) Full Text: DOI
Kühleitner, Manfred; Nowak, Werner Georg On differences of two squares. (English) Zbl 1146.11048 Cent. Eur. J. Math. 4, No. 1, 110-122 (2006). MSC: 11N37 PDFBibTeX XMLCite \textit{M. Kühleitner} and \textit{W. G. Nowak}, Cent. Eur. J. Math. 4, No. 1, 110--122 (2006; Zbl 1146.11048) Full Text: DOI
Nowak, Werner Georg Primitive lattice points inside an ellipse. (English) Zbl 1081.11064 Czech. Math. J. 55, No. 2, 519-530 (2005). MSC: 11P21 PDFBibTeX XMLCite \textit{W. G. Nowak}, Czech. Math. J. 55, No. 2, 519--530 (2005; Zbl 1081.11064) Full Text: DOI arXiv EuDML
Krätzel, Ekkehard; Nowak, Werner Georg Effective estimates for the lattice point discrepancy of certain planar and three-dimensional domains. (Effektive Abschätzungen für den Gitterrest gewisser ebener und dreidimensionaler Bereiche.) (English) Zbl 1197.11135 Monatsh. Math. 146, No. 1, 21-35 (2005). MSC: 11P21 52C07 PDFBibTeX XMLCite \textit{E. Krätzel} and \textit{W. G. Nowak}, Monatsh. Math. 146, No. 1, 21--35 (2005; Zbl 1197.11135) Full Text: DOI
Nowak, Werner Georg; Schoissengeier, Johannes The distribution of powers of integers in algebraic number fields. (English) Zbl 1079.11057 J. Théor. Nombres Bordx. 16, No. 1, 197-214 (2004). Reviewer: Ekkehard Krätzel (Jena) MSC: 11R47 11P21 PDFBibTeX XMLCite \textit{W. G. Nowak} and \textit{J. Schoissengeier}, J. Théor. Nombres Bordx. 16, No. 1, 197--214 (2004; Zbl 1079.11057) Full Text: DOI Numdam EuDML
Nowak, W. G. On the distribution of powers of Gaussian integers. (Zur Verteilung der Potenzen Gaußscher ganzer Zahlen.) (German) Zbl 1053.11081 Abh. Math. Semin. Univ. Hamb. 73, 43-65 (2003). Reviewer: Ekkehard Krätzel (Jena) MSC: 11P21 PDFBibTeX XMLCite \textit{W. G. Nowak}, Abh. Math. Semin. Univ. Hamb. 73, 43--65 (2003; Zbl 1053.11081) Full Text: DOI
Kuba, G.; Müller, Helmut; Nowak, W. G.; Schoissengeier, J. On the distribution of the power of integers of a complex cubic number field. (Zur Verteilung der Potenzen ganzer Zahlen eines komplexen kubischen Zahlkörpers.) (German) Zbl 1008.11039 Abh. Math. Semin. Univ. Hamb. 70, 341-354 (2000). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R16 11P21 11R04 11R47 PDFBibTeX XMLCite \textit{G. Kuba} et al., Abh. Math. Semin. Univ. Hamb. 70, 341--354 (2000; Zbl 1008.11039) Full Text: DOI
Kühleitner, Manfred; Nowak, Werner Georg The asymptotic behaviour of the mean-square of fractional part sums. (English) Zbl 0948.11038 Proc. Edinb. Math. Soc., II. Ser. 43, No. 2, 309-323 (2000). Reviewer: Werner Georg Nowak (Wien) MSC: 11P21 11K99 PDFBibTeX XMLCite \textit{M. Kühleitner} and \textit{W. G. Nowak}, Proc. Edinb. Math. Soc., II. Ser. 43, No. 2, 309--323 (2000; Zbl 0948.11038) Full Text: DOI
Nowak, Werner Georg Fractional part sums and lattice points. (English) Zbl 0931.11039 Proc. Edinb. Math. Soc., II. Ser. 41, No. 3, 497-515 (1998). Reviewer: W.Recknagel (Ebenhausen) MSC: 11P21 11K99 11B68 PDFBibTeX XMLCite \textit{W. G. Nowak}, Proc. Edinb. Math. Soc., II. Ser. 41, No. 3, 497--515 (1998; Zbl 0931.11039) Full Text: DOI
Nowak, Werner Georg Sums of two \(k\)-th powers: an Omega estimate for the error term. (English) Zbl 0880.11066 Arch. Math. 68, No. 1, 27-35 (1997). Reviewer: G.Kolesnik (Los Angeles) MSC: 11P21 11N37 11L07 PDFBibTeX XMLCite \textit{W. G. Nowak}, Arch. Math. 68, No. 1, 27--35 (1997; Zbl 0880.11066) Full Text: DOI
Müller, Wolfgang; Nowak, Werner Georg Third power moments of the error terms corresponding to certain arithmetic functions. (English) Zbl 0839.11043 Manuscr. Math. 87, No. 4, 459-480 (1995). Reviewer: E.Krätzel (Wien) MSC: 11N37 PDFBibTeX XMLCite \textit{W. Müller} and \textit{W. G. Nowak}, Manuscr. Math. 87, No. 4, 459--480 (1995; Zbl 0839.11043) Full Text: DOI EuDML
Nowak, Werner Georg Sums of reciprocals of general divisor functions and the Selberg divisor problem. (English) Zbl 0727.11035 Abh. Math. Semin. Univ. Hamb. 61, 163-173 (1991). Reviewer: W. G. Nowak (Wien) MSC: 11N37 11R42 11R47 PDFBibTeX XML Full Text: DOI
Kuba, Gerald; Nowak, Werner Georg On representations of positive integers as a sum of two polynomials. (English) Zbl 0767.11044 Arch. Math. 58, No. 2, 147-156 (1992). Reviewer: W.Recknagel (Ebenhausen) MSC: 11P21 11N37 11B68 PDFBibTeX XMLCite \textit{G. Kuba} and \textit{W. G. Nowak}, Arch. Math. 58, No. 2, 147--156 (1992; Zbl 0767.11044) Full Text: DOI
Krätzel, Ekkehard; Nowak, Werner Georg Lattice points in large convex bodies. (English) Zbl 0754.11027 Monatsh. Math. 112, No. 1, 61-72 (1991). Reviewer: Jörg Brüdern (Göttingen) MSC: 11P21 11L07 PDFBibTeX XMLCite \textit{E. Krätzel} and \textit{W. G. Nowak}, Monatsh. Math. 112, No. 1, 61--72 (1991; Zbl 0754.11027) Full Text: DOI EuDML
Nowak, Werner Georg On sums of two coprime k-th powers. (English) Zbl 0678.10034 Monatsh. Math. 108, No. 1, 47-57 (1989). Reviewer: W.G.Nowak MSC: 11N37 11P21 11L40 PDFBibTeX XMLCite \textit{W. G. Nowak}, Monatsh. Math. 108, No. 1, 47--57 (1989; Zbl 0678.10034) Full Text: DOI EuDML
Menzer, Hartmut; Nowak, Werner Georg On an asymmetric divisor problem with congruence conditions. (English) Zbl 0674.10037 Manuscr. Math. 64, No. 1, 107-119 (1989). Reviewer: Aleksandar Ivić (Beograd) MSC: 11N37 11L03 PDFBibTeX XMLCite \textit{H. Menzer} and \textit{W. G. Nowak}, Manuscr. Math. 64, No. 1, 107--119 (1989; Zbl 0674.10037) Full Text: DOI EuDML
Müller, Wolfgang; Nowak, Werner-Georg Lattice points in domains \(| x|\) \(p+| y|\) p\(\leq R\) p. (English) Zbl 0627.10032 Arch. Math. 51, No. 1, 55-59 (1988). MSC: 11P21 11L03 PDFBibTeX XMLCite \textit{W. Müller} and \textit{W.-G. Nowak}, Arch. Math. 51, No. 1, 55--59 (1988; Zbl 0627.10032) Full Text: DOI