Hauffe-Waschbüsch, Adrian; Krieg, Aloys; Williams, Brandon On Hermitian Eisenstein series of degree \(2\). (English) Zbl 07688271 Funct. Approximatio, Comment. Math. 68, No. 1, 127-141 (2023). MSC: 11F46 11F55 PDFBibTeX XMLCite \textit{A. Hauffe-Waschbüsch} et al., Funct. Approximatio, Comment. Math. 68, No. 1, 127--141 (2023; Zbl 07688271) Full Text: DOI arXiv
Krieg, Aloys; Schaps, Felix; Römer, Hannah Eisenstein series for O(2,n+2). arXiv:2308.10709 Preprint, arXiv:2308.10709 [math.NT] (2023). MSC: 11F55 BibTeX Cite \textit{A. Krieg} et al., ``Eisenstein series for O(2,n+2)'', Preprint, arXiv:2308.10709 [math.NT] (2023) Full Text: arXiv OA License
Hauffe-Waschbüsch, Adrian; Krieg, Aloys The Hilbert modular group and orthogonal groups. (English) Zbl 1497.11118 Res. Number Theory 8, No. 3, Paper No. 47, 9 p. (2022). Reviewer: Martin Raum (Gothenburg) MSC: 11F41 11F55 PDFBibTeX XMLCite \textit{A. Hauffe-Waschbüsch} and \textit{A. Krieg}, Res. Number Theory 8, No. 3, Paper No. 47, 9 p. (2022; Zbl 1497.11118) Full Text: DOI arXiv
Krieg, Aloys; Schaps, Felix Maximal discrete subgroups of \(\mathrm{SO}^+(2,n+2)\). (English) Zbl 1494.11041 Proc. Am. Math. Soc. 150, No. 6, 2357-2365 (2022). Reviewer: Alexander W. Mason (Glasgow) MSC: 11F06 11F55 PDFBibTeX XMLCite \textit{A. Krieg} and \textit{F. Schaps}, Proc. Am. Math. Soc. 150, No. 6, 2357--2365 (2022; Zbl 1494.11041) Full Text: DOI arXiv
Krieg, Aloys; Raum, Martin; Wernz, Annalena The maximal discrete extension of the Hermitian modular group. (English) Zbl 1491.11046 Doc. Math. 26, 1871-1888 (2021). Reviewer: Nihal Yılmaz Özgür (Balikesir) MSC: 11F06 11F55 PDFBibTeX XMLCite \textit{A. Krieg} et al., Doc. Math. 26, 1871--1888 (2021; Zbl 1491.11046) Full Text: DOI arXiv
Hauffe-Waschbüsch, Adrian; Krieg, Aloys Congruence subgroups and orthogonal groups. (English) Zbl 1469.11120 Linear Algebra Appl. 618, 22-36 (2021). MSC: 11F55 11F46 11F60 11F27 PDFBibTeX XMLCite \textit{A. Hauffe-Waschbüsch} and \textit{A. Krieg}, Linear Algebra Appl. 618, 22--36 (2021; Zbl 1469.11120) Full Text: DOI arXiv
Hauffe-Waschbüsch, Adrian; Krieg, Aloys On Hecke theory for Hermitian modular forms. (English) Zbl 1469.11121 Ramakrishnan, B. (ed.) et al., Modular forms and related topics in number theory. Proceedings of the international conference on number theory, ICNT 2018, Kozhikode, India, December 10–14, 2018. Singapore: Springer. Springer Proc. Math. Stat. 340, 73-88 (2020). MSC: 11F55 11F60 PDFBibTeX XMLCite \textit{A. Hauffe-Waschbüsch} and \textit{A. Krieg}, Springer Proc. Math. Stat. 340, 73--88 (2020; Zbl 1469.11121) Full Text: DOI arXiv
Heim, Bernhard; Krieg, Aloys The Maaß space for paramodular groups. (English) Zbl 1456.11081 Kyoto J. Math. 60, No. 4, 1191-1207 (2020). MSC: 11F55 11F46 PDFBibTeX XMLCite \textit{B. Heim} and \textit{A. Krieg}, Kyoto J. Math. 60, No. 4, 1191--1207 (2020; Zbl 1456.11081) Full Text: DOI arXiv Euclid
Dieckmann, C.; Krieg, A.; Woitalla, M. The graded ring of modular forms on the Cayley half-space of degree two. (English) Zbl 1444.11092 Ramanujan J. 48, No. 2, 385-398 (2019). MSC: 11F55 11F30 PDFBibTeX XMLCite \textit{C. Dieckmann} et al., Ramanujan J. 48, No. 2, 385--398 (2019; Zbl 1444.11092) Full Text: DOI arXiv
Gallenkämper, Jonas; Krieg, Aloys The Hecke algebras for the orthogonal group \(\mathrm{SO}(2, 3)\) and the paramodular group of degree \(2\). (English) Zbl 1445.11038 Int. J. Number Theory 14, No. 9, 2409-2423 (2018). MSC: 11F60 11F46 PDFBibTeX XMLCite \textit{J. Gallenkämper} and \textit{A. Krieg}, Int. J. Number Theory 14, No. 9, 2409--2423 (2018; Zbl 1445.11038) Full Text: DOI arXiv
Gallenkämper, Jonas; Heim, Bernhard; Krieg, Aloys The Maaß space and Hecke operators. (English) Zbl 1417.11066 Int. J. Math. 27, No. 5, Article ID 1650039, 8 p. (2016). MSC: 11F46 11F60 PDFBibTeX XMLCite \textit{J. Gallenkämper} et al., Int. J. Math. 27, No. 5, Article ID 1650039, 8 p. (2016; Zbl 1417.11066) Full Text: DOI
Krieg, Aloys; Raum, Martin The functional equation for the twisted spinor \(L\)-series of genus 2. (English) Zbl 1297.11042 Abh. Math. Semin. Univ. Hamb. 83, No. 1, 29-52 (2013). MSC: 11F66 11F46 11F50 PDFBibTeX XMLCite \textit{A. Krieg} and \textit{M. Raum}, Abh. Math. Semin. Univ. Hamb. 83, No. 1, 29--52 (2013; Zbl 1297.11042) Full Text: DOI arXiv
Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele On the classification of even unimodular lattices with a complex structure. (English) Zbl 1246.11094 Int. J. Number Theory 8, No. 4, 983-992 (2012). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E41 11E39 11F03 11F27 11H06 PDFBibTeX XMLCite \textit{M. Hentschel} et al., Int. J. Number Theory 8, No. 4, 983--992 (2012; Zbl 1246.11094) 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)
Hentschel, Michael; Krieg, Aloys; Nebe, Gabriele On the classification of lattices over \(\mathbb Q(\sqrt{-3})\), which are even unimodular \(\mathbb Z\)-lattices. (English) Zbl 1229.11062 Abh. Math. Semin. Univ. Hamb. 80, No. 2, 183-192 (2010). Reviewer: Shoyu Nagaoka (Osaka) MSC: 11E41 11F60 11H56 11F27 11F55 PDFBibTeX XMLCite \textit{M. Hentschel} et al., Abh. Math. Semin. Univ. Hamb. 80, No. 2, 183--192 (2010; Zbl 1229.11062) Full Text: DOI arXiv
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
Gehre, Dominic; Krieg, Aloys Quaternionic theta constants. (English) Zbl 1262.11060 Arch. Math. 94, No. 1, 59-66 (2010). MSC: 11F46 11F55 11F27 PDFBibTeX XMLCite \textit{D. Gehre} and \textit{A. Krieg}, Arch. Math. 94, No. 1, 59--66 (2010; Zbl 1262.11060) Full Text: DOI
Hentschel, M.; Krieg, A. A Hermitian analog of the Schottky form. (English) Zbl 1105.11012 Böcherer, Siegfried (ed.) et al., Automorphic forms and zeta functions. In memory of Tsuneo Arakawa. Proceedings of the conference, Rikkyo University, Tokyo, Japan, September 4–7, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-632-5/hbk). 140-149 (2006). Reviewer: Gabriele Nebe (Aachen) MSC: 11F46 11E41 11H56 PDFBibTeX XMLCite \textit{M. Hentschel} and \textit{A. Krieg}, in: Automorphic forms and zeta functions. In memory of Tsuneo Arakawa. Proceedings of the conference, Rikkyo University, Tokyo, Japan, September 4--7, 2004. Hackensack, NJ: World Scientific. 140--149 (2006; Zbl 1105.11012)
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
Dern, Tobias; Krieg, Aloys The graded ring of Hermitian modular forms of degree 2 over \(\mathbb Q(\sqrt{-2})\). (English) Zbl 1059.11037 J. Number Theory 107, No. 2, 241-265 (2004). Reviewer: Karl-Bernhard Gundlach (Marburg) MSC: 11F55 11F27 11F46 PDFBibTeX XMLCite \textit{T. Dern} and \textit{A. Krieg}, J. Number Theory 107, No. 2, 241--265 (2004; Zbl 1059.11037) Full Text: DOI
Dern, Tobias; Krieg, Aloys Graded rings of Hermitian modular forms of degree 2. (English) Zbl 1038.11030 Manuscr. Math. 110, No. 2, 251-272 (2003). Reviewer: Günter Köhler (Würzburg) MSC: 11F55 11F41 11F27 PDFBibTeX XMLCite \textit{T. Dern} and \textit{A. Krieg}, Manuscr. Math. 110, No. 2, 251--272 (2003; Zbl 1038.11030) 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; Walcher, Sebastian Multiplier systems for the modular group on the 27-dimensional exceptional domain. (English) Zbl 0902.11021 Commun. Algebra 26, No. 5, 1409-1417 (1998). Reviewer: K.-B.Gundlach (Marburg) MSC: 11F55 11F22 17C40 PDFBibTeX XMLCite \textit{A. Krieg} and \textit{S. Walcher}, Commun. Algebra 26, No. 5, 1409--1417 (1998; Zbl 0902.11021) 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, 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
Kohnen, W.; Krieg, A.; Sengupta, J. Characteristic twists of a Dirichlet series for Siegel cusp forms. (English) Zbl 0879.11021 Manuscr. Math. 87, No. 4, 489-499 (1995). Reviewer: Min Ho Lee (Cedar Falls) MSC: 11F66 11F46 PDFBibTeX XMLCite \textit{W. Kohnen} et al., Manuscr. Math. 87, No. 4, 489--499 (1995; Zbl 0879.11021) Full Text: DOI EuDML
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
Eie, Minking; Krieg, Aloys The Maaß-space on the half-plane of Cayley numbers of degree two. (English) Zbl 0729.11022 Math. Z. 210, No. 1, 113-128 (1992). Reviewer: M.Eie (Taipei) MSC: 11F55 PDFBibTeX XMLCite \textit{M. Eie} and \textit{A. Krieg}, Math. Z. 210, No. 1, 113--128 (1992; Zbl 0729.11022) Full Text: DOI EuDML
Deitmar, Anton; Krieg, Aloys Theta correspondence for Eisenstein series. (English) Zbl 0773.11028 Math. Z. 208, No. 2, 273-288 (1991). Reviewer: R.Schulze-Pillot (Bonn) MSC: 11F27 11F55 PDFBibTeX XMLCite \textit{A. Deitmar} and \textit{A. Krieg}, Math. Z. 208, No. 2, 273--288 (1991; Zbl 0773.11028) Full Text: DOI EuDML
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 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 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 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 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