Krieg, Aloys Integral orthogonal groups. (English) Zbl 1394.20027 Hagen, Thomas (ed.) et al., Dynamical systems, number theory and applications. A Festschrift in honor of Armin Leutbecher’s 80th birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4699-86-0/hbk; 978-981-4699-88-4/ebook). 177-195 (2016). MSC: 20G30 11E57 20F05 PDFBibTeX XMLCite \textit{A. Krieg}, in: Dynamical systems, number theory and applications. A Festschrift in honor of Armin Leutbecher's 80th birthday. Hackensack, NJ: World Scientific. 177--195 (2016; Zbl 1394.20027) Full Text: DOI
Krieg, Aloys Another quaternionic Maaß space. (English) Zbl 1276.11074 Manickam, M. (ed.) et al., Number theory. Proceedings of the international conference on number theory and applications, Chennai, India, December 2006. In honour of Prof. T. C. Vasudevan on his sixtieth birthday. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-07-6/hbk). Ramanujan Mathematical Society Lecture Notes Series 15, 43-50 (2011). Reviewer: G. K. Sankaran (Bath) MSC: 11F55 11F46 PDFBibTeX XMLCite \textit{A. Krieg}, Ramanujan Math. Soc. Lect. Notes Ser. 15, 43--50 (2011; Zbl 1276.11074)
Krieg, Aloys Theta series over the Hurwitz quaternions. (English) Zbl 1253.11057 Int. J. Number Theory 6, No. 1, 25-36 (2010). Reviewer: Anke Pohl (Göttingen) MSC: 11F55 11F27 PDFBibTeX XMLCite \textit{A. Krieg}, Int. J. Number Theory 6, No. 1, 25--36 (2010; Zbl 1253.11057) Full Text: DOI
Krieg, A. The graded ring of quaternionic modular forms of degree 2. (English) Zbl 1132.11025 Math. Z. 251, No. 4, 929-942 (2005). MSC: 11F55 11F46 PDFBibTeX XMLCite \textit{A. Krieg}, Math. Z. 251, No. 4, 929--942 (2005; Zbl 1132.11025) Full Text: DOI
Krieg, Aloys Eisenstein series on Kähler’s Poincaré group. (English) Zbl 1365.11106 Kähler, Erich, Mathematische Werke. Mathematical works. Edited by Rolf Berndt and Oswald Riemenschneider. Berlin: Walter de Gruyter (ISBN 3-11-017118-X/hbk). 891-906 (2003). MSC: 11M36 PDFBibTeX XMLCite \textit{A. Krieg}, in: Mathematische Werke. Mathematical works. Edited by Rolf Berndt and Oswald Riemenschneider. Berlin: Walter de Gruyter. 891--906 (2003; Zbl 1365.11106) Full Text: DOI
Krieg, Aloys Triple systems of Hecke type and hypergroups. (English) Zbl 0988.43006 Heyer, Herbert (ed.) et al., Infinite dimensional harmonic analysis. Transactions of the 2nd Japanese-German symposium, University of Kyoto, Japan, September 20-24, 1999. Bamberg: D. u. M. Gräbner, 253-259 (2000). Reviewer: Michael Voit (Tübingen) MSC: 43A62 PDFBibTeX XMLCite \textit{A. Krieg}, in: Infinite dimensional harmonic analysis. Transactions of the 2nd Japanese-German symposium, University of Kyoto, Japan, September 20--24, 1999. Bamberg: D. u. M. Gräbner. 253--259 (2000; Zbl 0988.43006)
Krieg, Aloys Koecher-Maaß series for Jacobi forms. (English) Zbl 0972.11036 Comment. Math. Univ. St. Pauli 49, No. 1, 61-70 (2000). Reviewer: Günter Köhler (Würzburg) MSC: 11F50 11F66 PDFBibTeX XMLCite \textit{A. Krieg}, Comment. Math. Univ. St. Pauli 49, No. 1, 61--70 (2000; Zbl 0972.11036)
Krieg, Aloys Practical training for pupils in mathematics. (Mathematisches Praktikum für Schüler.) (German) Zbl 1251.97002 Mitt. Dtsch. Math.-Ver. 7, No. 3, 42 (1999). MSC: 97B40 PDFBibTeX XMLCite \textit{A. Krieg}, Mitt. Dtsch. Math.-Ver. 7, No. 3, 42 (1999; Zbl 1251.97002) Full Text: DOI
Krieg, Aloys Hecke algebras and hypergroups. (English) Zbl 0965.20002 Heyer, Herbert (ed.) et al., Analysis on infinite-dimensional Lie groups and algebras. Proceedings of the international colloquium, Marseille, France, September 15-19, 1997. Singapore: World Scientific. 197-206 (1998). Reviewer: Michael Voit (Tübingen) MSC: 20C08 43A62 11F99 20N20 PDFBibTeX XMLCite \textit{A. Krieg}, in: Analysis on infinite-dimensional Lie groups and algebras. Proceedings of the international colloquium, Marseille, France, September 15--19, 1997. Singapore: World Scientific. 197--206 (1998; Zbl 0965.20002)
Krieg, Aloys The Hecke algebras for the Fricke groups. (English) Zbl 0939.11022 Result. Math. 34, No. 3-4, 342-358 (1998). Reviewer: Shoyu Nagaoka (Osaka) MSC: 11F11 11F25 11F66 PDFBibTeX XMLCite \textit{A. Krieg}, Result. Math. 34, No. 3--4, 342--358 (1998; Zbl 0939.11022) Full Text: DOI
Krieg, Aloys The Maaß space for the nontrivial multiplier system over the Hurwitz quaternions. (English) Zbl 0912.11020 Arch. Math. 70, No. 3, 211-218 (1998). Reviewer: Shoyu Nagaoka (Osaka) MSC: 11F55 PDFBibTeX XMLCite \textit{A. Krieg}, Arch. Math. 70, No. 3, 211--218 (1998; Zbl 0912.11020) Full Text: DOI
Krieg, Aloys The singular modular forms on the 27-dimensional exceptional domain. (English) Zbl 0878.11019 Manuscr. Math. 92, No. 3, 361-367 (1997). Reviewer: A.Dabrowski (Szczecin) MSC: 11F11 17C40 11F55 PDFBibTeX XMLCite \textit{A. Krieg}, Manuscr. Math. 92, No. 3, 361--367 (1997; Zbl 0878.11019) Full Text: DOI EuDML
Krieg, Aloys Jacobi forms of several variables and the Maaß space. (English) Zbl 0879.11020 J. Number Theory 56, No. 2, 242-255 (1996). Reviewer: G.Köhler (Würzburg) MSC: 11F50 PDFBibTeX XMLCite \textit{A. Krieg}, J. Number Theory 56, No. 2, 242--255 (1996; Zbl 0879.11020) Full Text: DOI
Krieg, A. Modular forms on the Fricke group. (English) Zbl 0851.11027 Abh. Math. Semin. Univ. Hamb. 65, 293-299 (1995). Reviewer: G.Rosenberger (Dortmund) MSC: 11F06 30F35 20H10 PDFBibTeX XMLCite \textit{A. Krieg}, Abh. Math. Semin. Univ. Hamb. 65, 293--299 (1995; Zbl 0851.11027) Full Text: DOI
Krieg, Aloys On the Epstein zeta function. (English) Zbl 0810.11022 Result. Math. 25, No. 3-4, 339-340 (1994). Reviewer: E.Elizalde (Barcelona) MSC: 11E45 11M41 PDFBibTeX XMLCite \textit{A. Krieg}, Result. Math. 25, No. 3--4, 339--340 (1994; Zbl 0810.11022) Full Text: DOI
Krieg, Aloys Counting modular matrices with specified maximum norm. (English) Zbl 0809.11023 Linear Algebra Appl. 196, 273-278 (1994). Reviewer: M.I.Knopp (Philadelphia) MSC: 11F06 11N45 11P21 PDFBibTeX XMLCite \textit{A. Krieg}, Linear Algebra Appl. 196, 273--278 (1994; Zbl 0809.11023) Full Text: DOI
Krieg, Aloys Primitive minima of positive definite quadratic forms. (English) Zbl 0780.11034 Acta Arith. 63, No. 1, 91-96 (1993). Reviewer: H.-G.Quebbemann (Oldenburg) MSC: 11H55 11H50 PDFBibTeX XMLCite \textit{A. Krieg}, Acta Arith. 63, No. 1, 91--96 (1993; Zbl 0780.11034) Full Text: DOI EuDML Link
Krieg, Alois The Maaß space on the Hermitian half-space of degree 2. (English) Zbl 0713.11033 Math. Ann. 289, No. 4, 663-681 (1991). Reviewer: Alois Krieg MSC: 11F55 11F60 11F30 PDFBibTeX XMLCite \textit{A. Krieg}, Math. Ann. 289, No. 4, 663--681 (1991; Zbl 0713.11033) Full Text: DOI EuDML
Krieg, Aloys A Dirichlet series for modular forms of degree \(n\). (English) Zbl 0707.11037 Acta Arith. 59, No. 3, 243-259 (1991). Reviewer: A.Krieg MSC: 11F66 11F46 11F55 PDFBibTeX XMLCite \textit{A. Krieg}, Acta Arith. 59, No. 3, 243--259 (1991; Zbl 0707.11037) Full Text: DOI EuDML
Krieg, A. Hecke operators with respect to the modular group of quaternions. (English) Zbl 0721.11020 Abh. Math. Semin. Univ. Hamb. 60, 71-85 (1990). Reviewer: H.G.Quebbemann (Oldenburg) MSC: 11F55 11F60 PDFBibTeX XMLCite \textit{A. Krieg}, Abh. Math. Semin. Univ. Hamb. 60, 71--85 (1990; Zbl 0721.11020) Full Text: DOI
Krieg, Aloys Hecke algebras. (English) Zbl 0706.11029 Mem. Am. Math. Soc. 435, 158 p. (1990). Reviewer: S.Böcherer MSC: 11F60 20C05 20H30 PDFBibTeX XMLCite \textit{A. Krieg}, Hecke algebras. Providence, RI: American Mathematical Society (AMS) (1990; Zbl 0706.11029) Full Text: DOI
Krieg, Aloys Kocher-Maaß-series for modular forms of quaternions. (English) Zbl 0698.10019 Manuscr. Math. 66, No. 4, 431-451 (1990). Reviewer: S.Böcherer MSC: 11F27 11F67 PDFBibTeX XMLCite \textit{A. Krieg}, Manuscr. Math. 66, No. 4, 431--451 (1990; Zbl 0698.10019) Full Text: DOI EuDML
Krieg, Aloys The Maaß space and Hecke operators. (English) Zbl 0683.10024 Math. Z. 204, No. 4, 527-550 (1990). Reviewer: A.Krieg MSC: 11F55 11F66 11F46 11F30 11M41 PDFBibTeX XMLCite \textit{A. Krieg}, Math. Z. 204, No. 4, 527--550 (1990; Zbl 0683.10024) Full Text: DOI EuDML
Krieg, Aloys Hecke-Operatoren und Dirichlet-Reihen für Modulformen auf dem Quaternionen-Halbraum. (Hecke operators and Dirichlet series for modular forms on the quaternionian half space). (German) Zbl 0689.10036 Münster: Univ., FB Math., Habil.-Schr. 81 S. (1989). Reviewer: S.Böcherer MSC: 11F27 PDFBibTeX XMLCite \textit{A. Krieg}, Hecke-Operatoren und Dirichlet-Reihen für Modulformen auf dem Quaternionen-Halbraum. (Hecke operators and Dirichlet series for modular forms on the quaternionian half space). Münster: Univ., FB Math. (1989; Zbl 0689.10036)
Krieg, Aloys Associative triple systems of Hecke type. (English) Zbl 0679.17001 Algebras Groups Geom. 5, No. 4, 341-357 (1988). Reviewer: S.Walcher MSC: 17A40 16Y60 20N10 11F99 PDFBibTeX XMLCite \textit{A. Krieg}, Algebras Groups Geom. 5, No. 4, 341--357 (1988; Zbl 0679.17001)
Krieg, Aloys Eisenstein series on the four-dimensional hyperbolic space. (English) Zbl 0657.10026 J. Number Theory 30, No. 2, 177-197 (1988). Reviewer: R.Weissauer MSC: 11F27 PDFBibTeX XMLCite \textit{A. Krieg}, J. Number Theory 30, No. 2, 177--197 (1988; Zbl 0657.10026) Full Text: DOI
Krieg, Aloys Eisenstein series on real, complex, and quaternionic half-spaces. (English) Zbl 0657.10025 Pac. J. Math. 133, No. 2, 315-354 (1988). Reviewer: R.Weissauer MSC: 11F27 PDFBibTeX XMLCite \textit{A. Krieg}, Pac. J. Math. 133, No. 2, 315--354 (1988; Zbl 0657.10025) Full Text: DOI
Krieg, Aloys The elementary divisor theory over the Hurwitz order of integral quaternions. (English) Zbl 0663.15003 Linear Multilinear Algebra 21, 325-344 (1987). Reviewer: R.Ursianu MSC: 15B33 15A21 11R52 11F27 PDFBibTeX XMLCite \textit{A. Krieg}, Linear Multilinear Algebra 21, 325--344 (1987; Zbl 0663.15003) Full Text: DOI
Krieg, Aloys The Hecke-algebras related to the unimodular and modular group over the Hurwitz order of integral quaternions. (English) Zbl 0659.10027 Proc. Indian Acad. Sci., Math. Sci. (Ramanujan Birth Centenary Volume) 97, No. 1-3, 201-229 (1987). Reviewer: Siegfried Böcherer (Mannheim) MSC: 11F55 11R52 PDFBibTeX XMLCite \textit{A. Krieg}, Proc. Indian Acad. Sci., Math. Sci. 97, No. 1--3, 201--229 (1987; Zbl 0659.10027) Full Text: DOI
Krieg, Aloys The Maaß-space on the half-space of quaternions of degree 2. (English) Zbl 0613.10027 Math. Ann. 276, 675-686 (1987). Reviewer: S.Böcherer MSC: 11F27 11F11 PDFBibTeX XMLCite \textit{A. Krieg}, Math. Ann. 276, 675--686 (1987; Zbl 0613.10027) Full Text: DOI EuDML
Krieg, Aloys Maschke’s theorem for Hecke-algebras. (English) Zbl 0667.16009 J. Indian Math. Soc., New Ser. 50, No. 1-4, 139-147 (1986). Reviewer: D.S.Passman MSC: 16S34 11F11 PDFBibTeX XMLCite \textit{A. Krieg}, J. Indian Math. Soc., New Ser. 50, No. 1--4, 139--147 (1986; Zbl 0667.16009)
Krieg, Aloys Das Vertauschungsgesetz zwischen Hecke-Operatoren und dem Siegelschen \(\Phi\) -Operator. (The commutation property between Hecke operators and Siegel’s \(\Phi\) -operator). (German) Zbl 0566.10019 Arch. Math. 46, 323-329 (1986). MSC: 11F27 PDFBibTeX XMLCite \textit{A. Krieg}, Arch. Math. 46, 323--329 (1986; Zbl 0566.10019) Full Text: DOI
Krieg, Aloys Modular forms on half-spaces of quaternions. (English) Zbl 0564.10032 Lecture Notes in Mathematics. 1143. Berlin etc.: Springer-Verlag. xiii, 203 p. DM 31.50 (1985). Reviewer: Meinhard Peters (Münster) MSC: 11F46 11-02 11F55 PDFBibTeX XML Full Text: DOI