Okounkov, Andrei The magic of 8 and 24. (English) Zbl 07822684 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 1. Prize lectures. Berlin: European Mathematical Society (EMS). 492-545 (2023). MSC: 11H31 PDFBibTeX XMLCite \textit{A. Okounkov}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 1. Prize lectures. Berlin: European Mathematical Society (EMS). 492--545 (2023; Zbl 07822684) Full Text: DOI arXiv OA License
Vavilov, N. A. Saint Petersburg school of the theory of linear groups. I: Prehistory. (English. Russian original) Zbl 1526.01024 Vestn. St. Petersbg. Univ., Math. 56, No. 3, 273-288 (2023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 3, 381-405 (2023). Reviewer: Kıvanç Ersoy (Berlin) MSC: 01A72 01A73 20-03 PDFBibTeX XMLCite \textit{N. A. Vavilov}, Vestn. St. Petersbg. Univ., Math. 56, No. 3, 273--288 (2023; Zbl 1526.01024); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 3, 381--405 (2023) Full Text: DOI
Kao, Chiu-Yen; Osting, Braxton; Turner, Jackson C. Flat tori with large Laplacian eigenvalues in dimensions up to eight. (English) Zbl 1512.35414 SIAM J. Appl. Algebra Geom. 7, No. 1, 172-193 (2023). MSC: 35P15 35J25 49K35 58J50 52C17 PDFBibTeX XMLCite \textit{C.-Y. Kao} et al., SIAM J. Appl. Algebra Geom. 7, No. 1, 172--193 (2023; Zbl 1512.35414) Full Text: DOI arXiv
Kathuria, Leetika; Raka, Madhu On conjectures of Minkowski and Woods for \(n=10\). (English) Zbl 1493.11104 Proc. Indian Acad. Sci., Math. Sci. 132, No. 2, Paper No. 45, 27 p. (2022). MSC: 11H31 11H46 11J20 52C15 PDFBibTeX XMLCite \textit{L. Kathuria} and \textit{M. Raka}, Proc. Indian Acad. Sci., Math. Sci. 132, No. 2, Paper No. 45, 27 p. (2022; Zbl 1493.11104) Full Text: DOI arXiv
Leterrier, Gauthier On the Mordell-Weil lattice of \(y^2=x^3+bx+t^{3^n+1}\) in characteristic 3. (English) Zbl 1495.11072 Res. Number Theory 8, No. 2, Paper No. 23, 20 p. (2022). Reviewer: Mohammad Sadek (New Cairo) MSC: 11G05 11M38 11T24 52C15 PDFBibTeX XMLCite \textit{G. Leterrier}, Res. Number Theory 8, No. 2, Paper No. 23, 20 p. (2022; Zbl 1495.11072) Full Text: DOI arXiv
Campello, Antonio; Ling, Cong Random algebraic lattices and codes for wireless communications. (English) Zbl 1484.11154 Beresnevich, Victor (ed.) et al., Number theory meets wireless communications. Based on lectures given at the workshop on interactions between number theory and wireless communication, York, UK, July 4–16, 2016. Cham: Springer. Math. Eng. (Cham), 143-177 (2020). MSC: 11H71 94A05 94A40 PDFBibTeX XMLCite \textit{A. Campello} and \textit{C. Ling}, in: Number theory meets wireless communications. Based on lectures given at the workshop on interactions between number theory and wireless communication, York, UK, July 4--16, 2016. Cham: Springer. 143--177 (2020; Zbl 1484.11154) Full Text: DOI
Neumaier, Arnold Bounding basis reduction properties. (English) Zbl 1430.11092 Des. Codes Cryptography 84, No. 1-2, 237-259 (2017). MSC: 11H55 11Y16 PDFBibTeX XMLCite \textit{A. Neumaier}, Des. Codes Cryptography 84, No. 1--2, 237--259 (2017; Zbl 1430.11092) Full Text: DOI
Kathuria, Leetika; Raka, Madhu On conjectures of Minkowski and Woods for \(n = 9\). (English) Zbl 1411.11067 Proc. Indian Acad. Sci., Math. Sci. 126, No. 4, 501-548 (2016). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11H31 11H46 11J20 52C15 PDFBibTeX XMLCite \textit{L. Kathuria} and \textit{M. Raka}, Proc. Indian Acad. Sci., Math. Sci. 126, No. 4, 501--548 (2016; Zbl 1411.11067) Full Text: DOI
Glazunov, N. M. Quadratic forms, algebraic groups and number theory. (Russian. English summary) Zbl 1437.11054 Chebyshevskiĭ Sb. 16, No. 4(56), 77-89 (2015). MSC: 11E57 11E72 11E12 PDFBibTeX XMLCite \textit{N. M. Glazunov}, Chebyshevskiĭ Sb. 16, No. 4(56), 77--89 (2015; Zbl 1437.11054) Full Text: MNR
Kathuria, Leetika; Hans-Gill, R. J.; Raka, Madhu On a question of Uri Shapira and Barak Weiss. (English) Zbl 1352.11039 Indian J. Pure Appl. Math. 46, No. 3, 287-307 (2015). MSC: 11E12 11H31 PDFBibTeX XMLCite \textit{L. Kathuria} et al., Indian J. Pure Appl. Math. 46, No. 3, 287--307 (2015; Zbl 1352.11039) Full Text: DOI
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank Inhomogeneous extreme forms. (Formes inhomogènes extrêmes.) (English. French summary) Zbl 1309.11057 Ann. Inst. Fourier 62, No. 6, 2227-2255 (2012). Reviewer: Gabriele Nebe (Aachen) MSC: 11H55 52C17 PDFBibTeX XMLCite \textit{M. Dutour Sikirić} et al., Ann. Inst. Fourier 62, No. 6, 2227--2255 (2012; Zbl 1309.11057) Full Text: DOI arXiv
Hans-Gill, R. J.; Raka, Madhu; Sehmi, Ranjeet Estimates on conjectures of Minkowski and Woods. II. (English) Zbl 1318.11085 Indian J. Pure Appl. Math. 42, No. 5, 307-333 (2011). MSC: 11H31 11H46 11J20 PDFBibTeX XMLCite \textit{R. J. Hans-Gill} et al., Indian J. Pure Appl. Math. 42, No. 5, 307--333 (2011; Zbl 1318.11085) Full Text: DOI
Gruber, Peter M. Lattice packing and covering of convex bodies. (English) Zbl 1301.52033 Proc. Steklov Inst. Math. 275, 229-238 (2011) and Tr. Mat. Inst. Steklova 275, 240-249 (2011). Reviewer: Lenny Fukshansky (Claremont) MSC: 52C07 PDFBibTeX XMLCite \textit{P. M. Gruber}, Proc. Steklov Inst. Math. 275, 229--238 (2011; Zbl 1301.52033) Full Text: DOI
Griess, Robert L. jun.; Lam, Ching Hung A Moonshine path for \(5A\) and associated lattices of ranks 8 and 16. (English) Zbl 1283.20009 J. Algebra 331, No. 1, 338-361 (2011). Reviewer: Hiromichi Yamada (Tokyo) MSC: 20D08 11H56 17B69 PDFBibTeX XMLCite \textit{R. L. Griess jun.} and \textit{C. H. Lam}, J. Algebra 331, No. 1, 338--361 (2011; Zbl 1283.20009) Full Text: DOI arXiv
Edelsbrunner, Herbert; Kerber, Michael Covering and packing with spheres by diagonal distortion in \(\mathbb R^n\). (English) Zbl 1277.52019 Calude, Cristian S. (ed.) et al., Rainbow of computer science. Dedicated to Hermann Maurer on the occasion of his 70th birthday. Berlin: Springer (ISBN 978-3-642-19390-3/pbk). Lecture Notes in Computer Science 6570, 20-35 (2011). MSC: 52C17 06B05 PDFBibTeX XMLCite \textit{H. Edelsbrunner} and \textit{M. Kerber}, Lect. Notes Comput. Sci. 6570, 20--35 (2011; Zbl 1277.52019) Full Text: DOI
Schürmann, Achill Perfect, strongly eutactic lattices are periodic extreme. (English) Zbl 1201.52018 Adv. Math. 225, No. 5, 2546-2564 (2010). MSC: 52C17 11H31 11H55 PDFBibTeX XMLCite \textit{A. Schürmann}, Adv. Math. 225, No. 5, 2546--2564 (2010; Zbl 1201.52018) Full Text: DOI arXiv
Hans-Gill, R. J.; Raka, Madhu; Sehmi, Ranjeet Estimates on conjectures of Minkowski and Woods. (English) Zbl 1228.11096 Indian J. Pure Appl. Math. 41, No. 4, 595-606 (2010). Reviewer: Sidney W. Graham (Mount Pleasant) MSC: 11H46 PDFBibTeX XMLCite \textit{R. J. Hans-Gill} et al., Indian J. Pure Appl. Math. 41, No. 4, 595--606 (2010; Zbl 1228.11096) Full Text: DOI
Gindraux, Marc Lamination and antilamination of Euclidean lattices. (Lamination et antilamination des réseaux euclidiens.) (French. English summary) Zbl 1204.11102 J. Théor. Nombres Bordx. 21, No. 3, 535-557 (2009). Reviewer: Roland Quême (Brax) MSC: 11H50 11H06 PDFBibTeX XMLCite \textit{M. Gindraux}, J. Théor. Nombres Bordx. 21, No. 3, 535--557 (2009; Zbl 1204.11102) Full Text: DOI Numdam EuDML
Cohn, Henry; Kumar, Abhinav Optimality and uniqueness of the Leech lattice among lattices. (English) Zbl 1213.11144 Ann. Math. (2) 170, No. 3, 1003-1050 (2009). Reviewer: Roland Quême (Brax) MSC: 11H31 52C17 05B40 PDFBibTeX XMLCite \textit{H. Cohn} and \textit{A. Kumar}, Ann. Math. (2) 170, No. 3, 1003--1050 (2009; Zbl 1213.11144) Full Text: DOI arXiv Link
Hans-Gill, R. J.; Raka, Madhu; Sehmi, Ranjeet On conjectures of Minkowski and Woods for \(n=7\). (English) Zbl 1175.11033 J. Number Theory 129, No. 5, 1011-1033 (2009). Reviewer: Bertrand Meyer (Lausanne) MSC: 11H46 11H31 11J20 52C17 PDFBibTeX XMLCite \textit{R. J. Hans-Gill} et al., J. Number Theory 129, No. 5, 1011--1033 (2009; Zbl 1175.11033) Full Text: DOI
Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank Classification of eight-dimensional perfect forms. (English) Zbl 1186.11039 Electron. Res. Announc. Am. Math. Soc. 13, 21-32 (2007). Reviewer: Olaf Ninnemann (Berlin) MSC: 11H55 11H31 PDFBibTeX XMLCite \textit{M. Dutour Sikirić} et al., Electron. Res. Announc. Am. Math. Soc. 13, 21--32 (2007; Zbl 1186.11039) Full Text: DOI arXiv
Cohn, Henry; Kumar, Abhinav The densest lattice in twenty-four dimensions. (English) Zbl 1062.11044 Electron. Res. Announc. Am. Math. Soc. 10, 58-67 (2004). MSC: 11H31 05B40 11H55 52C15 PDFBibTeX XMLCite \textit{H. Cohn} and \textit{A. Kumar}, Electron. Res. Announc. Am. Math. Soc. 10, 58--67 (2004; Zbl 1062.11044) Full Text: DOI arXiv EuDML EMIS
Nebe, Gabriele Some cyclo-quaternionic lattices. (English) Zbl 0897.11022 J. Algebra 199, No. 2, 472-498 (1998). Reviewer: Pham Huu Tiep (Gainesville) MSC: 11H06 11E12 20G35 11H31 11H55 PDFBibTeX XMLCite \textit{G. Nebe}, J. Algebra 199, No. 2, 472--498 (1998; Zbl 0897.11022) Full Text: DOI Link
Szabó, László On the density of unit balls touching a unit cylinder. (English) Zbl 0820.52005 Arch. Math. 64, No. 5, 459-464 (1995). Reviewer: L.Szabó (Budapest) MSC: 52A37 52C17 52A40 PDFBibTeX XMLCite \textit{L. Szabó}, Arch. Math. 64, No. 5, 459--464 (1995; Zbl 0820.52005) Full Text: DOI
Aggarwal, Satish K.; Gupta, D. P. Least positive value of non-homogeneous indefinite quadratic forms of signature -3. (English) Zbl 0719.11035 J. Number Theory 37, No. 3, 260-278 (1991). Reviewer: H.G.Quebbemann (Oldenburg) MSC: 11H50 11H55 PDFBibTeX XMLCite \textit{S. K. Aggarwal} and \textit{D. P. Gupta}, J. Number Theory 37, No. 3, 260--278 (1991; Zbl 0719.11035) Full Text: DOI
Conway, J. H.; Sloane, N. J. A. Lattices with few distances. (English) Zbl 0737.11017 J. Number Theory 39, No. 1, 75-90 (1991). Reviewer: H.G.Quebbemann (Oldenburg) MSC: 11H06 52C07 52C10 PDFBibTeX XMLCite \textit{J. H. Conway} and \textit{N. J. A. Sloane}, J. Number Theory 39, No. 1, 75--90 (1991; Zbl 0737.11017) Full Text: DOI
Bergé, Anne-Marie; Martinet, Jacques Sur un problème de dualité lié aux sphères en géométrie des nombres. (On a duality problem related to spheres in geometry of numbers). (French) Zbl 0677.10022 J. Number Theory 32, No. 1, 14-42 (1989). Reviewer: P.Gruber MSC: 11H55 11H06 11H60 PDFBibTeX XMLCite \textit{A.-M. Bergé} and \textit{J. Martinet}, J. Number Theory 32, No. 1, 14--42 (1989; Zbl 0677.10022) Full Text: DOI
Ryshkov, S. S.; Baranovskij, E. P. Perfect lattices as admissible centerings. (English) Zbl 0624.10024 J. Sov. Math. 37, 1155-1183 (1987). MSC: 11H55 11H06 52C07 11H31 52C17 PDFBibTeX XMLCite \textit{S. S. Ryshkov} and \textit{E. P. Baranovskij}, J. Sov. Math. 37, 1155--1183 (1987; Zbl 0624.10024) Full Text: DOI
Skubenko, B. F. Dense lattice packings of spheres in Euclidean spaces of dimension \(n\leq 16\). (English) Zbl 0481.10030 J. Sov. Math. 18, 958-960 (1982). MSC: 11H31 52C17 PDFBibTeX XMLCite \textit{B. F. Skubenko}, J. Sov. Math. 18, 958--960 (1982; Zbl 0481.10030) Full Text: DOI
Ryshkov, S. S. On the question of final \(\zeta\)-optimality of lattices providing the closest lattice packing of \(n\)-dimensional spheres. (English) Zbl 0282.10020 Sib. Math. J. 14(1973), 743-750 (1974). MSC: 11H31 11M35 11H50 11H55 PDFBibTeX XMLCite \textit{S. S. Ryshkov}, Sib. Math. J. 14, 743--750 (1974; Zbl 0282.10020) Full Text: DOI
Watson, G. L. On the minimum points of a positive quadratic form. (English) Zbl 0219.10032 Mathematika 18, 60-70 (1971). MSC: 11H50 PDFBibTeX XMLCite \textit{G. L. Watson}, Mathematika 18, 60--70 (1971; Zbl 0219.10032) Full Text: DOI
Oppenheim, A. The minima of positive quaternary Hermitian forms. (English) Zbl 0013.34501 Monatsh. Math. Phys. 43, 407-409 (1936). PDFBibTeX XMLCite \textit{A. Oppenheim}, Monatsh. Math. Phys. 43, 407--409 (1936; Zbl 0013.34501) Full Text: DOI
Oppenheim, A. The minima of positive quaternary Hermitian forms. (English) JFM 62.0172.01 Mh. Math. Phys. 43, 407-409 (1936). Reviewer: Perron, O., Prof. (München) PDFBibTeX XMLCite \textit{A. Oppenheim}, Monatsh. Math. Phys. 43, 407--409 (1936; JFM 62.0172.01) Full Text: DOI
Hofreiter, Nikolaus Über die Minima von positiven ternären Hermiteschen Formen. (German) Zbl 0011.24801 Monatsh. Math. Phys. 42, 113-116 (1935). Reviewer: K. Mahler (Groningen) MSC: 11H50 11E39 PDFBibTeX XMLCite \textit{N. Hofreiter}, Monatsh. Math. Phys. 42, 113--116 (1935; Zbl 0011.24801) Full Text: DOI
Hofreiter, N. Über die Minima von positiven ternären Hermiteschen Formen. (German) JFM 61.0158.04 Monatshefte f. Math. 42, 113-116 (1935). Reviewer: Perron, O., Prof. (München) PDFBibTeX XMLCite \textit{N. Hofreiter}, Monatsh. Math. Phys. 42, 113--116 (1935; JFM 61.0158.04) Full Text: DOI