Forst, Maxwell; Fukshansky, Lenny On a new absolute version of Siegel’s lemma. (English) Zbl 07809834 Res. Math. Sci. 11, No. 1, Paper No. 10, 16 p. (2024). MSC: 11G50 11H06 11D99 PDFBibTeX XMLCite \textit{M. Forst} and \textit{L. Fukshansky}, Res. Math. Sci. 11, No. 1, Paper No. 10, 16 p. (2024; Zbl 07809834) Full Text: DOI arXiv
Forst, Maxwell; Fukshansky, Lenny On lattice extensions. (English) Zbl 07807401 Monatsh. Math. 203, No. 3, 613-634 (2024). MSC: 11H06 11H31 52C05 52C07 52C15 52C17 PDFBibTeX XMLCite \textit{M. Forst} and \textit{L. Fukshansky}, Monatsh. Math. 203, No. 3, 613--634 (2024; Zbl 07807401) Full Text: DOI arXiv
Fukshansky, Lenny; Hsu, Alexander Covering point-sets with parallel hyperplanes and sparse signal recovery. (English) Zbl 1512.15047 Discrete Comput. Geom. 69, No. 3, 919-930 (2023). Reviewer: Anton Shutov (Vladimir) MSC: 15B99 05B40 52C17 94A12 PDFBibTeX XMLCite \textit{L. Fukshansky} and \textit{A. Hsu}, Discrete Comput. Geom. 69, No. 3, 919--930 (2023; Zbl 1512.15047) Full Text: DOI arXiv
Forst, Maxwell; Fukshansky, Lenny On zeros of multilinear polynomials. (English) Zbl 1525.11073 J. Number Theory 245, 169-186 (2023). Reviewer: Riccardo Pengo (Hannover) MSC: 11G50 11D99 PDFBibTeX XMLCite \textit{M. Forst} and \textit{L. Fukshansky}, J. Number Theory 245, 169--186 (2023; Zbl 1525.11073) Full Text: DOI arXiv
Fukshansky, Lenny; Jeong, Sehun On small-height elements in number fields. arXiv:2312.10853 Preprint, arXiv:2312.10853 [math.NT] (2023). MSC: 11G50 11R04 11R11 BibTeX Cite \textit{L. Fukshansky} and \textit{S. Jeong}, ``On small-height elements in number fields'', Preprint, arXiv:2312.10853 [math.NT] (2023) Full Text: arXiv OA License
Fukshansky, Lenny; Guerzhoy, Pavel; Nielsen, Tanis Deep hole lattices and isogenies of elliptic curves. arXiv:2310.14091 Preprint, arXiv:2310.14091 [math.NT] (2023). MSC: 11H06 11G05 11G50 BibTeX Cite \textit{L. Fukshansky} et al., ``Deep hole lattices and isogenies of elliptic curves'', Preprint, arXiv:2310.14091 [math.NT] (2023) Full Text: arXiv OA License
Fukshansky, Lenny; Hollanti, Camilla Euclidean lattices: theory and applications. arXiv:2307.08137 Preprint, arXiv:2307.08137 [math.NT] (2023). MSC: 11Hxx 11Exx 52Cxx 11J25 11P21 11T71 94A60 94B75 BibTeX Cite \textit{L. Fukshansky} and \textit{C. Hollanti}, ``Euclidean lattices: theory and applications'', Preprint, arXiv:2307.08137 [math.NT] (2023) Full Text: DOI arXiv OA License
Fukshansky, Lenny; Wang, Siki Positive semigroups in lattices and totally real number fields. (English) Zbl 1508.11066 Adv. Geom. 22, No. 4, 503-512 (2022). Reviewer: Matthew C. Lettington (Cardiff) MSC: 11H06 52C07 11G50 11R80 PDFBibTeX XMLCite \textit{L. Fukshansky} and \textit{S. Wang}, Adv. Geom. 22, No. 4, 503--512 (2022; Zbl 1508.11066) Full Text: DOI arXiv
Forst, Maxwell; Fukshansky, Lenny Counting basis extensions in a lattice. (English) Zbl 1501.11069 Proc. Am. Math. Soc. 150, No. 8, 3199-3213 (2022). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 11C08 11C20 11D85 11D45 PDFBibTeX XMLCite \textit{M. Forst} and \textit{L. Fukshansky}, Proc. Am. Math. Soc. 150, No. 8, 3199--3213 (2022; Zbl 1501.11069) Full Text: DOI arXiv
Fukshansky, Lenny; Kogan, David Cyclic and well-rounded lattices. (English) Zbl 1495.11078 Mosc. J. Comb. Number Theory 11, No. 1, 79-96 (2022). Reviewer: Matthew C. Lettington (Cardiff) MSC: 11H06 11H31 11G50 11R04 PDFBibTeX XMLCite \textit{L. Fukshansky} and \textit{D. Kogan}, Mosc. J. Comb. Number Theory 11, No. 1, 79--96 (2022; Zbl 1495.11078) Full Text: DOI arXiv
Fukshansky, Lenny; Kogan, David On the geometry of nearly orthogonal lattices. (English) Zbl 1478.11092 Linear Algebra Appl. 629, 112-137 (2021). Reviewer: Gabriele Nebe (Aachen) MSC: 11H06 11H31 52C17 42C15 PDFBibTeX XMLCite \textit{L. Fukshansky} and \textit{D. Kogan}, Linear Algebra Appl. 629, 112--137 (2021; Zbl 1478.11092) Full Text: DOI arXiv
Fukshansky, Lenny; Guerzhoy, Pavel; Kühnlein, Stefan On sparse geometry of numbers. (English) Zbl 1462.11054 Res. Math. Sci. 8, No. 1, Paper No. 2, 18 p. (2021). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 52C07 11G05 PDFBibTeX XMLCite \textit{L. Fukshansky} et al., Res. Math. Sci. 8, No. 1, Paper No. 2, 18 p. (2021; Zbl 1462.11054) Full Text: DOI arXiv
Böttcher, Albrecht; Fukshansky, Lenny Representing integers by multilinear polynomials. (English) Zbl 1475.11054 Res. Number Theory 6, No. 4, Paper No. 38, 7 p. (2020). Reviewer: Alexandra Shlapentokh (Greenville) MSC: 11D85 11C08 11C20 11G50 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{L. Fukshansky}, Res. Number Theory 6, No. 4, Paper No. 38, 7 p. (2020; Zbl 1475.11054) Full Text: DOI arXiv
Aletheia-Zomlefer, Soren Laing; Fukshansky, Lenny; Garcia, Stephan Ramon The Bateman-Horn conjecture: heuristic, history, and applications. (English) Zbl 1471.11247 Expo. Math. 38, No. 4, 430-479 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N32 11N05 11N13 PDFBibTeX XMLCite \textit{S. L. Aletheia-Zomlefer} et al., Expo. Math. 38, No. 4, 430--479 (2020; Zbl 1471.11247) Full Text: DOI arXiv
Fukshansky, Lenny; Shi, Yingqi Positive semigroups and generalized Frobenius numbers over totally real number fields. (English) Zbl 1448.11066 Mosc. J. Comb. Number Theory 9, No. 1, 29-41 (2020). MSC: 11D07 11H06 52C07 11D45 11G50 PDFBibTeX XMLCite \textit{L. Fukshansky} and \textit{Y. Shi}, Mosc. J. Comb. Number Theory 9, No. 1, 29--41 (2020; Zbl 1448.11066) Full Text: DOI arXiv
Fukshansky, Lenny; Kogan, David On average coherence of cyclotomic lattices. arXiv:2012.07807 Preprint, arXiv:2012.07807 [math.NT] (2020). MSC: 11H06 11H31 11R18 42C15 BibTeX Cite \textit{L. Fukshansky} and \textit{D. Kogan}, ``On average coherence of cyclotomic lattices'', Preprint, arXiv:2012.07807 [math.NT] (2020) Full Text: DOI arXiv OA License
Damir, Mohamed Taoufiq; Fukshansky, Lenny Canonical basis twists of ideal lattices from real quadratic number fields. (English) Zbl 1446.11129 Houston J. Math. 45, No. 4, 999-1019 (2019). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 11H55 11R11 PDFBibTeX XMLCite \textit{M. T. Damir} and \textit{L. Fukshansky}, Houston J. Math. 45, No. 4, 999--1019 (2019; Zbl 1446.11129) Full Text: arXiv
Fukshansky, Lenny; Needell, Deanna; Sudakov, Benny An algebraic perspective on integer sparse recovery. (English) Zbl 1428.94036 Appl. Math. Comput. 340, 31-42 (2019). MSC: 94A12 41A46 68Q25 68W20 PDFBibTeX XMLCite \textit{L. Fukshansky} et al., Appl. Math. Comput. 340, 31--42 (2019; Zbl 1428.94036) Full Text: DOI arXiv
Fukshansky, Lenny; Needell, Deanna; Park, Josiah; Xin, Yuxin Lattices from tight frames and vertex transitive graphs. (English) Zbl 1443.11131 Electron. J. Comb. 26, No. 3, Research Paper P3.49, 31 p. (2019). Reviewer: Gabriele Nebe (Aachen) MSC: 11H31 52C17 42C15 05C50 05C76 PDFBibTeX XMLCite \textit{L. Fukshansky} et al., Electron. J. Comb. 26, No. 3, Research Paper P3.49, 31 p. (2019; Zbl 1443.11131) Full Text: arXiv Link
Chan, Wai Kiu; Fukshansky, Lenny Small representations of integers by integral quadratic forms. (English) Zbl 1454.11066 J. Number Theory 201, 40-52 (2019). Reviewer: Steven T. Dougherty (Scranton) MSC: 11E12 11G50 11E39 PDFBibTeX XMLCite \textit{W. K. Chan} and \textit{L. Fukshansky}, J. Number Theory 201, 40--52 (2019; Zbl 1454.11066) Full Text: DOI arXiv
Böttcher, Albrecht; Eisenbarth, Simon; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren Spherical 2-designs and lattices from abelian groups. (English) Zbl 1446.11128 Discrete Comput. Geom. 61, No. 1, 123-135 (2019). Reviewer: Gabriele Nebe (Aachen) MSC: 11H06 05B30 52C17 11H31 11H50 42C15 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Discrete Comput. Geom. 61, No. 1, 123--135 (2019; Zbl 1446.11128) Full Text: DOI arXiv
Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren Lattice theory and Toeplitz determinants. (English) Zbl 1461.11103 Duduchava, Roland (ed.) et al., Operator theory in different settings and related applications, 26th international workshop on operator theory and its applications, IWOTA, Tbilisi, Georgia, July 6–10, 2015. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 262, 117-138 (2018). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11H31 15A15 15B05 47B35 05B40 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Oper. Theory: Adv. Appl. 262, 117--138 (2018; Zbl 1461.11103) Full Text: DOI Link
Fukshansky, Lenny; Shaar, Ahmad A. A new family of one-coincidence sets of sequences with dispersed elements for frequency hopping CDMA systems. (English) Zbl 1414.94902 Adv. Math. Commun. 12, No. 1, 181-188 (2018). MSC: 94A55 PDFBibTeX XMLCite \textit{L. Fukshansky} and \textit{A. A. Shaar}, Adv. Math. Commun. 12, No. 1, 181--188 (2018; Zbl 1414.94902) Full Text: DOI arXiv
Fukshansky, Lenny; Moshchevitin, Nikolay On an effective variation of Kronecker’s approximation theorem avoiding algebraic sets. (English) Zbl 1464.11066 Proc. Am. Math. Soc. 146, No. 10, 4151-4163 (2018). Reviewer: Romanos Diogenes Malikiosis (Thessaloniki) MSC: 11H06 11G50 11J68 11D99 PDFBibTeX XMLCite \textit{L. Fukshansky} and \textit{N. Moshchevitin}, Proc. Am. Math. Soc. 146, No. 10, 4151--4163 (2018; Zbl 1464.11066) Full Text: DOI arXiv
Böttcher, Albrecht; Fukshansky, Lenny Addendum to: “Lattices from equiangular tight frames”. (English) Zbl 1403.42033 Linear Algebra Appl. 531, 592-601 (2017). MSC: 42C15 05B30 11H06 52C07 PDFBibTeX XMLCite \textit{A. Böttcher} and \textit{L. Fukshansky}, Linear Algebra Appl. 531, 592--601 (2017; Zbl 1403.42033) Full Text: DOI
Fukshansky, Lenny; Guerzhoy, Pavel; Luca, Florian On arithmetic lattices in the plane. (English) Zbl 1358.11074 Proc. Am. Math. Soc. 145, No. 4, 1453-1465 (2017). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 11G50 11A25 11G05 PDFBibTeX XMLCite \textit{L. Fukshansky} et al., Proc. Am. Math. Soc. 145, No. 4, 1453--1465 (2017; Zbl 1358.11074) Full Text: DOI arXiv
Boettcher, Albrecht; Fukshansky, Lenny Lattices and quadratic forms from tight frames in Euclidean spaces. arXiv:1704.07735 Preprint, arXiv:1704.07735 [math.NT] (2017). MSC: 11H06 05B30 11H50 15A63 52C17 BibTeX Cite \textit{A. Boettcher} and \textit{L. Fukshansky}, ``Lattices and quadratic forms from tight frames in Euclidean spaces'', Preprint, arXiv:1704.07735 [math.NT] (2017) Full Text: arXiv OA License
Fukshansky, Lenny; Kühnlein, Stefan; Schwerdt, Rebecca Counting ideals in polynomial rings. arXiv:1701.04633 Preprint, arXiv:1701.04633 [math.NT] (2017). MSC: 11R42 11M41 11M45 20E07 11H06 BibTeX Cite \textit{L. Fukshansky} et al., ``Counting ideals in polynomial rings'', Preprint, arXiv:1701.04633 [math.NT] (2017) Full Text: arXiv OA License
Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren; Needell, Deanna Lattices from equiangular tight frames. (English) Zbl 1403.42034 Linear Algebra Appl. 510, 395-420 (2016); addendum ibid. 531, 592-601 (2017). MSC: 42C15 05B30 11H06 52C07 PDFBibTeX XMLCite \textit{A. Böttcher} et al., Linear Algebra Appl. 510, 395--420 (2016; Zbl 1403.42034) Full Text: DOI arXiv
Chan, Wai Kiu; Fukshansky, Lenny; Henshaw, Glenn R. Totally isotropic subspaces of small height in quadratic spaces. (English) Zbl 1410.11091 Adv. Geom. 16, No. 2, 153-164 (2016). MSC: 11G50 11E12 11H06 PDFBibTeX XMLCite \textit{W. K. Chan} et al., Adv. Geom. 16, No. 2, 153--164 (2016; Zbl 1410.11091) Full Text: DOI arXiv
Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren Lattices from Hermitian function fields. (English) Zbl 1334.11049 J. Algebra 447, 560-579 (2016). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11H06 11G20 PDFBibTeX XMLCite \textit{A. Böttcher} et al., J. Algebra 447, 560--579 (2016; Zbl 1334.11049) Full Text: DOI arXiv
Fukshansky, Lenny Height bounds on zeros of quadratic forms over \(\overline{\mathbb Q}\). (English) Zbl 1392.11045 Res. Math. Sci. 2, Paper No. 19, 26 p. (2015). MSC: 11G50 11E12 11E39 PDFBibTeX XMLCite \textit{L. Fukshansky}, Res. Math. Sci. 2, Paper No. 19, 26 p. (2015; Zbl 1392.11045) Full Text: DOI arXiv
Fukshansky, Lenny; Sun, Xun Erratum to: “On the geometry of cyclic lattices”. (English) Zbl 1317.11073 Discrete Comput. Geom. 53, No. 4, 971-972 (2015). MSC: 11H06 11H55 68Q17 PDFBibTeX XMLCite \textit{L. Fukshansky} and \textit{X. Sun}, Discrete Comput. Geom. 53, No. 4, 971--972 (2015; Zbl 1317.11073) Full Text: DOI
Fukshansky, Lenny Stability of ideal lattices from quadratic number fields. (English) Zbl 1325.11061 Ramanujan J. 37, No. 2, 243-256 (2015). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11H06 11R11 11E16 11H55 PDFBibTeX XMLCite \textit{L. Fukshansky}, Ramanujan J. 37, No. 2, 243--256 (2015; Zbl 1325.11061) Full Text: DOI arXiv
Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren On lattices generated by finite abelian groups. (English) Zbl 1328.11077 SIAM J. Discrete Math. 29, No. 1, 382-404 (2015). Reviewer: Nathan Kaplan (Irvine) MSC: 11H31 11G20 11H55 15A15 15B05 52C17 PDFBibTeX XMLCite \textit{A. Böttcher} et al., SIAM J. Discrete Math. 29, No. 1, 382--404 (2015; Zbl 1328.11077) Full Text: DOI arXiv
Fukshansky, Lenny; Garcia, Stephan Ramon; Sun, Xun Permutation invariant lattices. (English) Zbl 1375.11052 Discrete Math. 338, No. 8, 1536-1541 (2015). MSC: 11H56 PDFBibTeX XMLCite \textit{L. Fukshansky} et al., Discrete Math. 338, No. 8, 1536--1541 (2015; Zbl 1375.11052) Full Text: DOI arXiv
Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren Toeplitz determinants with perturbations in the corners. (English) Zbl 1300.15010 J. Funct. Anal. 268, No. 1, 171-193 (2015). MSC: 15B05 15A15 15A60 47B35 PDFBibTeX XMLCite \textit{A. Böttcher} et al., J. Funct. Anal. 268, No. 1, 171--193 (2015; Zbl 1300.15010) Full Text: DOI arXiv
Fukshansky, Lenny; Sun, Xun On the geometry of cyclic lattices. (English) Zbl 1310.11071 Discrete Comput. Geom. 52, No. 2, 240-259 (2014); erratum ibid. 53, No. 4, 971-972 (2015). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11H06 11H55 68Q17 PDFBibTeX XMLCite \textit{L. Fukshansky} and \textit{X. Sun}, Discrete Comput. Geom. 52, No. 2, 240--259 (2014; Zbl 1310.11071) Full Text: DOI arXiv
Chan, Wai Kiu; Fukshansky, Lenny; Henshaw, Glenn R. Small zeros of quadratic forms outside a union of varieties. (English) Zbl 1307.11081 Trans. Am. Math. Soc. 366, No. 10, 5587-5612 (2014). Reviewer: Yu Yasufuku (Tokyo) MSC: 11G50 11E12 11E39 PDFBibTeX XMLCite \textit{W. K. Chan} et al., Trans. Am. Math. Soc. 366, No. 10, 5587--5612 (2014; Zbl 1307.11081) Full Text: DOI arXiv
Fukshansky, Lenny; Maharaj, Hiren Lattices from elliptic curves over finite fields. (English) Zbl 1296.11086 Finite Fields Appl. 28, 67-78 (2014). MSC: 11H06 11G20 PDFBibTeX XMLCite \textit{L. Fukshansky} and \textit{H. Maharaj}, Finite Fields Appl. 28, 67--78 (2014; Zbl 1296.11086) Full Text: DOI arXiv
Fukshansky, Lenny Well-rounded zeta-function of planar arithmetic lattices. (English) Zbl 1286.11104 Proc. Am. Math. Soc. 142, No. 2, 369-380 (2014). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11H06 11H55 11M41 PDFBibTeX XMLCite \textit{L. Fukshansky}, Proc. Am. Math. Soc. 142, No. 2, 369--380 (2014; Zbl 1286.11104) Full Text: DOI arXiv
Fukshansky, Lenny; Henshaw, Glenn Lattice point counting and height bounds over number fields and quaternion algebras. (English) Zbl 1292.11076 Online J. Anal. Comb. 8, Article 4, 20 p. (2013). MSC: 11H06 11G50 52C07 11E12 11E39 PDFBibTeX XMLCite \textit{L. Fukshansky} and \textit{G. Henshaw}, Online J. Anal. Comb. 8, Article 4, 20 p. (2013; Zbl 1292.11076) Full Text: arXiv Link
Fukshansky, Lenny Heights and quadratic forms: Cassels’ theorem and its generalizations. (English) Zbl 1307.11044 Chan, Wai Kiu (ed.) et al., Diophantine methods, lattices, and arithmetic theory of quadratic forms. Proceedings of the international workshop, Banff International Research Station (BIRS), Alberta, Canada, November 13–18, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8318-1/pbk; 978-0-8218-9503-0/ebook). Contemporary Mathematics 587, 77-93 (2013). Reviewer: Yu Yasufuku (Tokyo) MSC: 11E12 11G50 11E39 PDFBibTeX XMLCite \textit{L. Fukshansky}, Contemp. Math. 587, 77--93 (2013; Zbl 1307.11044) Full Text: arXiv
Chan, Wai Kiu (ed.); Fukshansky, Lenny (ed.); Schulze-Pillot, Rainer (ed.); Vaaler, Jeffrey D. (ed.) Diophantine methods, lattices, and arithmetic theory of quadratic forms. Proceedings of the international workshop, Banff International Research Station (BIRS), Alberta, Canada, November 13–18, 2011. (English) Zbl 1260.11002 Contemporary Mathematics 587. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-8318-1/pbk; 978-0-8218-9503-0/ebook). xii, 243 p. (2013). MSC: 11-06 11Exx 11Mxx 11D09 11G50 00B25 PDFBibTeX XMLCite \textit{W. K. Chan} (ed.) et al., Diophantine methods, lattices, and arithmetic theory of quadratic forms. Proceedings of the international workshop, Banff International Research Station (BIRS), Alberta, Canada, November 13--18, 2011. Providence, RI: American Mathematical Society (AMS) (2013; Zbl 1260.11002) Full Text: DOI
Fukshansky, Lenny; Henshaw, Glenn; Liao, Philip; Prince, Matthew; Sun, Xun; Whitehead, Samuel On well-rounded ideal lattices. II. (English) Zbl 1296.11085 Int. J. Number Theory 9, No. 1, 139-154 (2013). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11H06 11R11 11H55 11D09 PDFBibTeX XMLCite \textit{L. Fukshansky} et al., Int. J. Number Theory 9, No. 1, 139--154 (2013; Zbl 1296.11085) Full Text: DOI arXiv
Fukshansky, Lenny; Henshaw, Glenn; Liao, Philip; Prince, Matthew; Sun, Xun; Whitehead, Samuel On integral well-rounded lattices in the plane. (English) Zbl 1285.11098 Discrete Comput. Geom. 48, No. 3, 735-748 (2012). MSC: 11H06 11E45 11E12 11D09 52C05 94C05 PDFBibTeX XMLCite \textit{L. Fukshansky} et al., Discrete Comput. Geom. 48, No. 3, 735--748 (2012; Zbl 1285.11098) Full Text: DOI arXiv
Aliev, Iskander; Fukshansky, Lenny; Henk, Martin Generalized Frobenius numbers: bounds and average behavior. (English) Zbl 1297.11014 Acta Arith. 155, No. 1, 53-62 (2012). Reviewer: Alessio Sammartano (West Lafayette) MSC: 11D07 11H06 11D45 PDFBibTeX XMLCite \textit{I. Aliev} et al., Acta Arith. 155, No. 1, 53--62 (2012; Zbl 1297.11014) Full Text: DOI arXiv Link
Fukshansky, Lenny; Petersen, Kathleen On well-rounded ideal lattices. (English) Zbl 1292.11077 Int. J. Number Theory 8, No. 1, 189-206 (2012). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11H06 11E16 11R04 11R11 11R18 PDFBibTeX XMLCite \textit{L. Fukshansky} and \textit{K. Petersen}, Int. J. Number Theory 8, No. 1, 189--206 (2012; Zbl 1292.11077) Full Text: DOI arXiv
Fukshansky, Lenny Revisiting the hexagonal lattice: on optimal lattice circle packing. (English) Zbl 1218.52016 Elem. Math. 66, No. 1, 1-9 (2011). Reviewer: Agota H. Temesvári (Pécs) MSC: 52C15 52C05 PDFBibTeX XMLCite \textit{L. Fukshansky}, Elem. Math. 66, No. 1, 1--9 (2011; Zbl 1218.52016) Full Text: DOI arXiv
Fukshansky, Lenny; Schürmann, Achill Bounds on generalized Frobenius numbers. (English) Zbl 1239.11024 Eur. J. Comb. 32, No. 3, 361-368 (2011). Reviewer: Jonathan Chappelon (Montpellier) MSC: 11B75 11D04 20M99 PDFBibTeX XMLCite \textit{L. Fukshansky} and \textit{A. Schürmann}, Eur. J. Comb. 32, No. 3, 361--368 (2011; Zbl 1239.11024) Full Text: DOI arXiv
Fukshansky, Lenny; Robins, Sinai Bounds for solid angles of lattices of rank three. (English) Zbl 1237.11032 J. Comb. Theory, Ser. A 118, No. 2, 690-701 (2011). Reviewer: Iskander Aliev (Cardiff) MSC: 11H31 11H55 52C17 PDFBibTeX XMLCite \textit{L. Fukshansky} and \textit{S. Robins}, J. Comb. Theory, Ser. A 118, No. 2, 690--701 (2011; Zbl 1237.11032) Full Text: DOI arXiv
Fukshansky, Lenny; Moore, Daniel; Ohana, R. Andrew; Zeldow, Whitney On well-rounded sublattices of the hexagonal lattice. (English) Zbl 1228.11093 Discrete Math. 310, No. 23, 3287-3302 (2010). Reviewer: Oleg Karpenkov (Graz) MSC: 11H06 PDFBibTeX XMLCite \textit{L. Fukshansky} et al., Discrete Math. 310, No. 23, 3287--3302 (2010; Zbl 1228.11093) Full Text: DOI arXiv
Fukshansky, Lenny Algebraic points of small height missing a union of varieties. (English) Zbl 1282.11073 J. Number Theory 130, No. 10, 2099-2118 (2010). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11G50 11H06 11R04 11R58 14H25 PDFBibTeX XMLCite \textit{L. Fukshansky}, J. Number Theory 130, No. 10, 2099--2118 (2010; Zbl 1282.11073) Full Text: DOI arXiv
Chan, Wai Kiu; Fukshansky, Lenny Small zeros of Hermitian forms over a quaternion algebra. (English) Zbl 1209.11060 Acta Arith. 142, No. 3, 251-266 (2010). Reviewer: Filippo Nuccio (Heidelberg) MSC: 11G50 11E39 11R52 PDFBibTeX XMLCite \textit{W. K. Chan} and \textit{L. Fukshansky}, Acta Arith. 142, No. 3, 251--266 (2010; Zbl 1209.11060) Full Text: DOI arXiv
Fukshansky, Lenny Integral orthogonal bases of small height for real polynomial spaces. (English) Zbl 1229.11047 Online J. Anal. Comb. 4, Article 7, 10 p. (2009). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11C08 11G50 05B30 PDFBibTeX XMLCite \textit{L. Fukshansky}, Online J. Anal. Comb. 4, Article 7, 10 p. (2009; Zbl 1229.11047) Full Text: arXiv Link
Fukshansky, Lenny Effective structure theorems for symplectic spaces via height. (English) Zbl 1244.11035 Baeza, Ricardo (ed.) et al., Quadratic forms – algebra, arithmetic, and geometry. Based on the international conference on the algebraic and arithmetic theory of quadratic forms, Frutillar, Chile, December 13–19, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4648-3/pbk). Contemporary Mathematics 493, 117-129 (2009). Reviewer: Roland Lötscher (München) MSC: 11E39 11G50 11H55 PDFBibTeX XMLCite \textit{L. Fukshansky}, Contemp. Math. 493, 117--129 (2009; Zbl 1244.11035) Full Text: arXiv
Fukshansky, Lenny On similarity classes of well-rounded sublattices of \(\mathbb Z^2\). (English) Zbl 1175.11031 J. Number Theory 129, No. 10, 2530-2556 (2009). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11H06 11M41 11D09 11N25 11R42 PDFBibTeX XMLCite \textit{L. Fukshansky}, J. Number Theory 129, No. 10, 2530--2556 (2009; Zbl 1175.11031) Full Text: DOI arXiv
Fukshansky, Lenny Search bounds for zeros of polynomials over the algebraic closure of \(\mathbb Q\). (English) Zbl 1186.11038 Rocky Mt. J. Math. 39, No. 3, 789-804 (2009). Reviewer: Matilde Lalin (Montreal) MSC: 11G50 11D72 11E76 14G25 14G40 PDFBibTeX XMLCite \textit{L. Fukshansky}, Rocky Mt. J. Math. 39, No. 3, 789--804 (2009; Zbl 1186.11038) Full Text: DOI arXiv
Fukshansky, Lenny On distribution of well-rounded sublattices of \(\mathbb Z^2\). (English) Zbl 1193.11069 J. Number Theory 128, No. 8, 2359-2393 (2008). Reviewer: Detlev Hoffmann (Nottingham) MSC: 11H06 11E16 11H50 11M41 11N25 11N56 11R42 PDFBibTeX XMLCite \textit{L. Fukshansky}, J. Number Theory 128, No. 8, 2359--2393 (2008; Zbl 1193.11069) Full Text: DOI arXiv
Fukshansky, Lenny Small zeros of quadratic forms over \(\overline{\mathbb Q}\). (English) Zbl 1162.11021 Int. J. Number Theory 4, No. 3, 503-523 (2008). Reviewer: Roger Heath-Brown (Oxford) MSC: 11E12 11G50 11H55 11D09 PDFBibTeX XMLCite \textit{L. Fukshansky}, Int. J. Number Theory 4, No. 3, 503--523 (2008; Zbl 1162.11021) Full Text: DOI arXiv
Fukshansky, Lenny On effective Witt decomposition and the Cartan-Dieudonné theorem. (English) Zbl 1133.11028 Can. J. Math. 59, No. 6, 1284-1300 (2007). Reviewer: K. Szymiczek (Katowice) MSC: 11E12 15A63 11G50 PDFBibTeX XMLCite \textit{L. Fukshansky}, Can. J. Math. 59, No. 6, 1284--1300 (2007; Zbl 1133.11028) Full Text: DOI arXiv
Fukshansky, Lenny; Robins, Sinai Frobenius problem and the covering radius of a lattice. (English) Zbl 1136.11307 Discrete Comput. Geom. 37, No. 3, 471-483 (2007). MSC: 11D07 11H06 52C07 PDFBibTeX XMLCite \textit{L. Fukshansky} and \textit{S. Robins}, Discrete Comput. Geom. 37, No. 3, 471--483 (2007; Zbl 1136.11307) Full Text: DOI arXiv
Fukshansky, Lenny Siegel’s Lemma with additional conditions. (English) Zbl 1192.11018 J. Number Theory 120, No. 1, 13-25 (2006). MSC: 11D04 11H06 11H46 11J13 PDFBibTeX XMLCite \textit{L. Fukshansky}, J. Number Theory 120, No. 1, 13--25 (2006; Zbl 1192.11018) Full Text: DOI arXiv
Fukshansky, Lenny Integral points of small height outside of a hypersurface. (English) Zbl 1091.11024 Monatsh. Math. 147, No. 1, 25-41 (2006). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11H06 11C08 11D04 11H46 11G50 PDFBibTeX XMLCite \textit{L. Fukshansky}, Monatsh. Math. 147, No. 1, 25--41 (2006; Zbl 1091.11024) Full Text: DOI arXiv
Beck, Matthias; Chen, Beifang; Fukshansky, Lenny; Haase, Christian; Knutson, Allen; Reznick, Bruce; Robins, Sinai; Schürmann, Achill Problems from the Cottonwood Room. (English) Zbl 1136.00300 Barvinok, Alexander (ed.) et al., Integer points in polyhedra. Geometry, number theory, algebra, optimization. Proceedings of an AMS-IMS-SIAM joint summer research conference on integer points in polyhedra, Snowbird, UT, USA, July 13–17, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3459-2/pbk). Contemporary Mathematics 374, 179-191 (2005). MSC: 00A07 11-02 PDFBibTeX XMLCite \textit{M. Beck} et al., Contemp. Math. 374, 179--191 (2005; Zbl 1136.00300)
Fukshansky, Lenny Small zeros of quadratic forms with linear conditions. (English) Zbl 1126.11020 J. Number Theory 108, No. 1, 29-43 (2004). MSC: 11E12 11H46 PDFBibTeX XMLCite \textit{L. Fukshansky}, J. Number Theory 108, No. 1, 29--43 (2004; Zbl 1126.11020) Full Text: DOI arXiv