Henk, Martin; Schymura, Matthias; Xue, Fei Packing minima and lattice points in convex bodies. (English) Zbl 07314338 Mosc. J. Comb. Number Theory 10, No. 1, 25-48 (2021). MSC: 52C07 11H06 52C05 PDF BibTeX XML Cite \textit{M. Henk} et al., Mosc. J. Comb. Number Theory 10, No. 1, 25--48 (2021; Zbl 07314338) Full Text: DOI
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph High-dimensional limit theorems for random vectors in \(\ell_p^n\)-balls. II. (English) Zbl 07312326 Commun. Contemp. Math. 23, No. 3, Article ID 1950073, 35 p. (2021). MSC: 60F10 52A23 60D05 46B09 PDF BibTeX XML Cite \textit{Z. Kabluchko} et al., Commun. Contemp. Math. 23, No. 3, Article ID 1950073, 35 p. (2021; Zbl 07312326) Full Text: DOI
Averkov, Gennadiy; Chavez, A.; De Loera, J. A.; Gillespie, Bryan The lattice of cycles of an undirected graph. (English) Zbl 07312041 Linear Algebra Appl. 611, 213-236 (2021). MSC: 05C50 05C38 52C07 05C85 68R10 PDF BibTeX XML Cite \textit{G. Averkov} et al., Linear Algebra Appl. 611, 213--236 (2021; Zbl 07312041) Full Text: DOI
Suyama, Yusuke Classification of toric log del Pezzo surfaces with few singular points. (English) Zbl 07310940 Electron. J. Comb. 28, No. 1, Research Paper P1.39, 17 p. (2021). MSC: 14M25 14Q10 52B20 PDF BibTeX XML Cite \textit{Y. Suyama}, Electron. J. Comb. 28, No. 1, Research Paper P1.39, 17 p. (2021; Zbl 07310940) Full Text: DOI
Acuña Valverde, Luis On the heat content for the Poisson heat kernel over convex bodies. (English) Zbl 07310675 J. Math. Anal. Appl. 494, No. 2, Article ID 124655, 15 p. (2021). MSC: 52 58J PDF BibTeX XML Cite \textit{L. Acuña Valverde}, J. Math. Anal. Appl. 494, No. 2, Article ID 124655, 15 p. (2021; Zbl 07310675) Full Text: DOI
McAllister, Tyrrell B. Rational polytopes with Ehrhart coefficients of arbitrary period. (English) Zbl 07309624 J. Comput. Appl. Math. 390, Article ID 113155, 8 p. (2021). MSC: 52B05 05A15 52B11 52C07 PDF BibTeX XML Cite \textit{T. B. McAllister}, J. Comput. Appl. Math. 390, Article ID 113155, 8 p. (2021; Zbl 07309624) Full Text: DOI
Bryan, Paul; Ivaki, Mohammad N.; Scheuer, Julian Orlicz-Minkowski flows. (English) Zbl 07309251 Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 41, 25 p. (2021). MSC: 53E10 35K55 52A05 53A15 58J35 PDF BibTeX XML Cite \textit{P. Bryan} et al., Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 41, 25 p. (2021; Zbl 07309251) Full Text: DOI
Eskenazis, Alexandros On extremal sections of subspaces of \(L_p\). (English) Zbl 07308726 Discrete Comput. Geom. 65, No. 2, 489-509 (2021). MSC: 52A40 52A20 52A21 52A23 46B20 46B09 PDF BibTeX XML Cite \textit{A. Eskenazis}, Discrete Comput. Geom. 65, No. 2, 489--509 (2021; Zbl 07308726) Full Text: DOI
Nguyen, Danny; Pak, Igor On the number of integer points in translated and expanded polyhedra. (English) Zbl 07308721 Discrete Comput. Geom. 65, No. 2, 405-424 (2021). MSC: 11D 05E 52C 52B 05A 52C07 11D07 05E40 05A15 52B20 PDF BibTeX XML Cite \textit{D. Nguyen} and \textit{I. Pak}, Discrete Comput. Geom. 65, No. 2, 405--424 (2021; Zbl 07308721) Full Text: DOI
Beck, Matthias; Gunnells, Paul E.; Materov, Evgeny Weighted lattice point sums in lattice polytopes, unifying Dehn-Sommerville and Ehrhart-Macdonald. (English) Zbl 07308719 Discrete Comput. Geom. 65, No. 2, 365-384 (2021). MSC: 11P21 11H06 14M25 14C40 14C17 52B05 52B20 05A15 PDF BibTeX XML Cite \textit{M. Beck} et al., Discrete Comput. Geom. 65, No. 2, 365--384 (2021; Zbl 07308719) Full Text: DOI
Fukshansky, Lenny; Guerzhoy, Pavel; Kühnlein, Stefan On sparse geometry of numbers. (English) Zbl 07307663 Res. Math. Sci. 8, No. 1, Paper No. 2, 18 p. (2021). MSC: 11H06 52C07 11G05 PDF BibTeX XML Cite \textit{L. Fukshansky} et al., Res. Math. Sci. 8, No. 1, Paper No. 2, 18 p. (2021; Zbl 07307663) Full Text: DOI
Damásdi, Gábor; Földvári, Viktória; Naszódi, Márton Colorful Helly-type theorems for the volume of intersections of convex bodies. (English) Zbl 07304667 J. Comb. Theory, Ser. A 178, Article ID 105361, 12 p. (2021). MSC: 52A35 52A38 PDF BibTeX XML Cite \textit{G. Damásdi} et al., J. Comb. Theory, Ser. A 178, Article ID 105361, 12 p. (2021; Zbl 07304667) Full Text: DOI
Aliev, Iskander; Celaya, Marcel; Henk, Martin; Williams, Aled Distance-sparsity transference for vertices of corner polyhedra. (English) Zbl 07304302 SIAM J. Optim. 31, No. 1, 200-216 (2021). MSC: 90C10 90C27 52C07 PDF BibTeX XML Cite \textit{I. Aliev} et al., SIAM J. Optim. 31, No. 1, 200--216 (2021; Zbl 07304302) Full Text: DOI
Averkov, Gennadiy Equality case in Van der Corput’s inequality and collisions in multiple lattice tilings. (English) Zbl 07303731 Discrete Comput. Geom. 65, No. 1, 212-226 (2021). MSC: 05B45 11H06 52C22 PDF BibTeX XML Cite \textit{G. Averkov}, Discrete Comput. Geom. 65, No. 1, 212--226 (2021; Zbl 07303731) Full Text: DOI
Faulhuber, Markus Extremal determinants of Laplace-Beltrami operators for rectangular tori. (English) Zbl 07303569 Math. Z. 297, No. 1-2, 175-195 (2021). MSC: 58J52 26A51 33E05 58J35 11H06 52C05 PDF BibTeX XML Cite \textit{M. Faulhuber}, Math. Z. 297, No. 1--2, 175--195 (2021; Zbl 07303569) Full Text: DOI
Zong, Chuanming Classification of the sublattices of a lattice. (English) Zbl 07302534 Bull. Aust. Math. Soc. 103, No. 1, 50-61 (2021). MSC: 11H06 20E07 52C05 52C07 PDF BibTeX XML Cite \textit{C. Zong}, Bull. Aust. Math. Soc. 103, No. 1, 50--61 (2021; Zbl 07302534) Full Text: DOI
Schleischitz, Johannes On intrinsic and extrinsic rational approximation to Cantor sets. (English) Zbl 07301410 Ergodic Theory Dyn. Syst. 41, No. 5, 1560-1589 (2021). MSC: 11 28A80 11J13 11H06 PDF BibTeX XML Cite \textit{J. Schleischitz}, Ergodic Theory Dyn. Syst. 41, No. 5, 1560--1589 (2021; Zbl 07301410) Full Text: DOI
Alonso-Gutiérrez, D.; Besau, F.; Grote, J.; Kabluchko, Z.; Reitzner, M.; Thäle, C.; Vritsiou, B.-H.; Werner, E. Asymptotic normality for random simplices and convex bodies in high dimensions. (English) Zbl 07301342 Proc. Am. Math. Soc. 149, No. 1, 355-367 (2021). MSC: 52A22 52A23 60D05 60F05 PDF BibTeX XML Cite \textit{D. Alonso-Gutiérrez} et al., Proc. Am. Math. Soc. 149, No. 1, 355--367 (2021; Zbl 07301342) Full Text: DOI
Fresen, Daniel J. A simplified proof of CLT for convex bodies. (English) Zbl 07301341 Proc. Am. Math. Soc. 149, No. 1, 345-354 (2021). MSC: 52A20 52A23 60F05 26B25 52A38 62E20 PDF BibTeX XML Cite \textit{D. J. Fresen}, Proc. Am. Math. Soc. 149, No. 1, 345--354 (2021; Zbl 07301341) Full Text: DOI
Morrison, Ralph; Tewari, Ayush Kumar Convex lattice polygons with all lattice points visible. (English) Zbl 07299421 Discrete Math. 344, No. 1, Article ID 112161, 19 p. (2021). MSC: 52C05 14T90 PDF BibTeX XML Cite \textit{R. Morrison} and \textit{A. K. Tewari}, Discrete Math. 344, No. 1, Article ID 112161, 19 p. (2021; Zbl 07299421) Full Text: DOI
Alonso-Gutiérrez, David; Brazitikos, Silouanos Reverse Loomis-Whitney inequalities via isotropicity. (English) Zbl 07299121 Proc. Am. Math. Soc. 149, No. 2, 817-828 (2021). MSC: 52A20 52A23 60D05 PDF BibTeX XML Cite \textit{D. Alonso-Gutiérrez} and \textit{S. Brazitikos}, Proc. Am. Math. Soc. 149, No. 2, 817--828 (2021; Zbl 07299121) Full Text: DOI
Skenderi, Mishel Some results on random unimodular lattices. (English) Zbl 07299098 Proc. Am. Math. Soc. 149, No. 2, 539-553 (2021). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 PDF BibTeX XML Cite \textit{M. Skenderi}, Proc. Am. Math. Soc. 149, No. 2, 539--553 (2021; Zbl 07299098) Full Text: DOI
Loizides, Yiannis; Paradan, Paul-Emile; Vergne, Michele Semi-classical analysis of piecewise quasi-polynomial functions and applications to geometric quantization. (English) Zbl 07298851 Indag. Math., New Ser. 32, No. 1, 151-192 (2021). MSC: 58J20 52C07 53D50 53D20 PDF BibTeX XML Cite \textit{Y. Loizides} et al., Indag. Math., New Ser. 32, No. 1, 151--192 (2021; Zbl 07298851) Full Text: DOI
Kala, Vítězslav; Yatsyna, Pavlo Lifting problem for universal quadratic forms. (English) Zbl 07289458 Adv. Math. 377, Article ID 107497, 25 p. (2021). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E25 11R11 11R18 11H06 11H55 PDF BibTeX XML Cite \textit{V. Kala} and \textit{P. Yatsyna}, Adv. Math. 377, Article ID 107497, 25 p. (2021; Zbl 07289458) Full Text: DOI
Böröczky, K. J.; Domokos, M.; Solanes, G. Dimension of the space of unitary equivariant translation invariant tensor valuations. (English) Zbl 07289417 J. Funct. Anal. 280, No. 4, Article ID 108862, 19 p. (2021). MSC: 47 46 PDF BibTeX XML Cite \textit{K. J. Böröczky} et al., J. Funct. Anal. 280, No. 4, Article ID 108862, 19 p. (2021; Zbl 07289417) Full Text: DOI
Portakal, Irem On rigidity of toric varieties arising from bipartite graphs. (English) Zbl 1452.14003 J. Algebra 569, 784-822 (2021). Reviewer: Piotr Pokora (Kraków) MSC: 14B07 14M25 52B20 05C69 PDF BibTeX XML Cite \textit{I. Portakal}, J. Algebra 569, 784--822 (2021; Zbl 1452.14003) Full Text: DOI
Alonso-Gutiérrez, David; Prochno, Joscha; Thäle, Christoph Large deviations, moderate deviations, and the KLS conjecture. (English) Zbl 07270894 J. Funct. Anal. 280, No. 1, Article ID 108779, 33 p. (2021). MSC: 60F10 52A23 60D05 46B09 PDF BibTeX XML Cite \textit{D. Alonso-Gutiérrez} et al., J. Funct. Anal. 280, No. 1, Article ID 108779, 33 p. (2021; Zbl 07270894) Full Text: DOI
Xu, Liqing; Chen, Hao; Li, Chao; Qu, Longjiang Vulnerable public keys in NTRU cryptosystem. (English) Zbl 07316407 Chin. Ann. Math., Ser. B 41, No. 5, 657-664 (2020). MSC: 94A60 11H06 PDF BibTeX XML Cite \textit{L. Xu} et al., Chin. Ann. Math., Ser. B 41, No. 5, 657--664 (2020; Zbl 07316407) Full Text: DOI
Craciun, Gheorghe; Deshpande, Abhishek Endotactic networks and toric differential inclusions. (English) Zbl 07315449 SIAM J. Appl. Dyn. Syst. 19, No. 3, 1798-1822 (2020). MSC: 37N25 37C60 37A60 34C08 52B20 14M25 14T05 PDF BibTeX XML Cite \textit{G. Craciun} and \textit{A. Deshpande}, SIAM J. Appl. Dyn. Syst. 19, No. 3, 1798--1822 (2020; Zbl 07315449) Full Text: DOI
Ershov, Aleksandr Anatol’evich; Kuvshinov, Oleg Aleksandrovich On properties of intersection of \(\alpha \)-sets. (Russian. English summary) Zbl 07312114 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 55, 79-92 (2020). MSC: 52A01 11H16 PDF BibTeX XML Cite \textit{A. A. Ershov} and \textit{O. A. Kuvshinov}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 55, 79--92 (2020; Zbl 07312114) Full Text: DOI MNR
Zong, Chuanming Can you pave the plane with identical tiles? (English) Zbl 07308993 Notices Am. Math. Soc. 67, No. 5, 635-646 (2020). Reviewer: Piotr Pokora (Kraków) MSC: 52C20 52C05 01A60 PDF BibTeX XML Cite \textit{C. Zong}, Notices Am. Math. Soc. 67, No. 5, 635--646 (2020; Zbl 07308993) Full Text: DOI
Loho, Georg; Schymura, Matthias Tropical Ehrhart theory and tropical volume. (English) Zbl 07304319 Res. Math. Sci. 7, No. 4, Paper No. 30, 33 p. (2020). MSC: 14T05 52C07 52A38 PDF BibTeX XML Cite \textit{G. Loho} and \textit{M. Schymura}, Res. Math. Sci. 7, No. 4, Paper No. 30, 33 p. (2020; Zbl 07304319) Full Text: DOI
Bárány, Imre; Martin, Greg; Naslund, Eric; Robins, Sinai Primitive points in rational polygons. (English) Zbl 07303616 Can. Math. Bull. 63, No. 4, 850-870 (2020). MSC: 11H06 11P21 52C05 PDF BibTeX XML Cite \textit{I. Bárány} et al., Can. Math. Bull. 63, No. 4, 850--870 (2020; Zbl 07303616) Full Text: DOI
Chaiken, Seth; Hanusa, Christopher R. H.; Zaslavsky, Thomas A \(q\)-queens problem V. some of our favorite pieces: queens, bishops, rooks, and nightriders. (English) Zbl 07301815 J. Korean Math. Soc. 57, No. 6, 1407-1433 (2020). MSC: 05A15 05B15 00A08 52C07 52C35 PDF BibTeX XML Cite \textit{S. Chaiken} et al., J. Korean Math. Soc. 57, No. 6, 1407--1433 (2020; Zbl 07301815) Full Text: DOI
Rivard-Cooke, Martin; Roy, Damien Counter-examples in parametric geometry of numbers. (English) Zbl 07301086 Acta Arith. 196, No. 3, 303-323 (2020). MSC: 11J13 11H06 11J82 PDF BibTeX XML Cite \textit{M. Rivard-Cooke} and \textit{D. Roy}, Acta Arith. 196, No. 3, 303--323 (2020; Zbl 07301086) Full Text: DOI
Lagarias, Jeffrey C.; Richman, David Harry Dilated floor functions having nonnegative commutator. II: Negative dilations. (English) Zbl 07301080 Acta Arith. 196, No. 2, 163-186 (2020). MSC: 11A25 11B83 11D07 11Z05 26D07 52C05 PDF BibTeX XML Cite \textit{J. C. Lagarias} and \textit{D. H. Richman}, Acta Arith. 196, No. 2, 163--186 (2020; Zbl 07301080) Full Text: DOI
Laface, Antonio; Ugaglia, Luca On base loci of higher fundamental forms of toric varieties. (English) Zbl 1453.14126 J. Pure Appl. Algebra 224, No. 12, Article ID 106447, 17 p. (2020). MSC: 14M25 52B20 14C20 14N05 PDF BibTeX XML Cite \textit{A. Laface} and \textit{L. Ugaglia}, J. Pure Appl. Algebra 224, No. 12, Article ID 106447, 17 p. (2020; Zbl 1453.14126) Full Text: DOI
Zhang, Zheng; Wu, Manying; Bi, Rengui Reliability analysis method for convex set structures based on reduced base concept. (Chinese. English summary) Zbl 07295030 Chin. J. Comput. Mech. 37, No. 3, 293-299 (2020). MSC: 74K99 62N05 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Chin. J. Comput. Mech. 37, No. 3, 293--299 (2020; Zbl 07295030) Full Text: DOI
Mordhorst, Olaf; Werner, Elisabeth Duality of floating and illumination bodies. (English) Zbl 07293618 Indiana Univ. Math. J. 69, No. 5, 1507-1541 (2020). MSC: 52A20 PDF BibTeX XML Cite \textit{O. Mordhorst} and \textit{E. Werner}, Indiana Univ. Math. J. 69, No. 5, 1507--1541 (2020; Zbl 07293618) Full Text: DOI
Malen, Greg; Roldán, Érika Polyiamonds attaining extremal topological properties. II. (English) Zbl 07293432 Geombinatorics 30, No. 2, 63-76 (2020). MSC: 52C05 PDF BibTeX XML Cite \textit{G. Malen} and \textit{É. Roldán}, Geombinatorics 30, No. 2, 63--76 (2020; Zbl 07293432)
Barreal, Amaro; Damir, Mohamed Taoufiq; Freij-Hollanti, Ragnar; Hollanti, Camilla An approximation of theta functions with applications to communications. (English) Zbl 1452.11078 SIAM J. Appl. Algebra Geom. 4, No. 4, 471-501 (2020). MSC: 11H06 11F27 11H71 11P21 PDF BibTeX XML Cite \textit{A. Barreal} et al., SIAM J. Appl. Algebra Geom. 4, No. 4, 471--501 (2020; Zbl 1452.11078) Full Text: DOI
Mainini, Edoardo; Schmidt, Bernd Maximal fluctuations around the Wulff shape for edge-isoperimetric sets in \({\mathbb{Z}}^d \): a sharp scaling law. (English) Zbl 07286858 Commun. Math. Phys. 380, No. 2, 947-971 (2020). MSC: 05D05 05C35 82B20 52C07 PDF BibTeX XML Cite \textit{E. Mainini} and \textit{B. Schmidt}, Commun. Math. Phys. 380, No. 2, 947--971 (2020; Zbl 07286858) Full Text: DOI
Jerónimo-Castro, Jesús; Jimenez-Lopez, Francisco G.; Jiménez-Sánchez, A. Rosario On convex bodies with isoptic chords of constant length. (English) Zbl 07286380 Aequationes Math. 94, No. 6, 1189-1199 (2020). MSC: 52A10 52A40 PDF BibTeX XML Cite \textit{J. Jerónimo-Castro} et al., Aequationes Math. 94, No. 6, 1189--1199 (2020; Zbl 07286380) Full Text: DOI
Altmann, Klaus; Buczyński, Jarosław; Kastner, Lars; Winz, Anna-Lena Immaculate line bundles on toric varieties. (English) Zbl 07283924 Pure Appl. Math. Q. 16, No. 4, 1147-1217 (2020). MSC: 14M25 14F05 14F17 52B20 PDF BibTeX XML Cite \textit{K. Altmann} et al., Pure Appl. Math. Q. 16, No. 4, 1147--1217 (2020; Zbl 07283924) Full Text: DOI
Sikirić, Mathieu Dutour; Garber, Alexey; Magazinov, Alexander On the Voronoi conjecture for combinatorially Voronoi parallelohedra in dimension 5. (English) Zbl 1453.52014 SIAM J. Discrete Math. 34, No. 4, 2481-2501 (2020). MSC: 52B20 52B70 52C07 PDF BibTeX XML Cite \textit{M. D. Sikirić} et al., SIAM J. Discrete Math. 34, No. 4, 2481--2501 (2020; Zbl 1453.52014) Full Text: DOI
Bogart, Tristram; Goodrick, John; Woods, Kevin A parametric version of LLL and some consequences: parametric shortest and closest vector problems. (English) Zbl 07283555 SIAM J. Discrete Math. 34, No. 4, 2363-2387 (2020). MSC: 11H06 52C07 PDF BibTeX XML Cite \textit{T. Bogart} et al., SIAM J. Discrete Math. 34, No. 4, 2363--2387 (2020; Zbl 07283555) Full Text: DOI
Malen, Greg; Roldán, Érika Polyiamonds attaining extremal topological properties. I. (English) Zbl 07274125 Geombinatorics 30, No. 1, 14-24 (2020). Reviewer: Christian Richter (Jena) MSC: 52C45 05A15 05D99 52B05 52B60 52C05 57M15 PDF BibTeX XML Cite \textit{G. Malen} and \textit{É. Roldán}, Geombinatorics 30, No. 1, 14--24 (2020; Zbl 07274125)
Nikulin, Viacheslav V. Some examples of \(K3\) surfaces with infinite automorphism group which preserves an elliptic pencil. (English) Zbl 1446.14022 Math. Notes 108, No. 4, 542-549 (2020). Reviewer: Piotr Pokora (Kraków) MSC: 14J28 11E12 11H06 PDF BibTeX XML Cite \textit{V. V. Nikulin}, Math. Notes 108, No. 4, 542--549 (2020; Zbl 1446.14022) Full Text: DOI
Vassiliev, V. A. Algebroidally integrable bodies. (English) Zbl 1452.52012 Arnold Math. J. 6, No. 2, 291-309 (2020). Reviewer: Piotr Pokora (Kraków) MSC: 52C07 14N20 PDF BibTeX XML Cite \textit{V. A. Vassiliev}, Arnold Math. J. 6, No. 2, 291--309 (2020; Zbl 1452.52012) Full Text: DOI
Ardila, Federico; Supina, Mariel; Vindas-Meléndez, Andrés R. The equivariant Ehrhart theory of the permutahedron. (English) Zbl 1451.14138 Proc. Am. Math. Soc. 148, No. 12, 5091-5107 (2020). Reviewer: Felipe Zaldívar (Ciudad de México) MSC: 14L30 14M25 52B15 52B20 05E18 PDF BibTeX XML Cite \textit{F. Ardila} et al., Proc. Am. Math. Soc. 148, No. 12, 5091--5107 (2020; Zbl 1451.14138) Full Text: DOI
Frieze, Alan; Pegden, Wesley; Tkocz, Tomasz Random volumes in \(d\)-dimensional polytopes. (English) Zbl 1453.52006 Discrete Anal. 2020, Article No. 15, 17 p. (2020). Reviewer: Dmitry Zaporozhets (Sankt-Peterburg) MSC: 52A23 52A22 60D05 PDF BibTeX XML Cite \textit{A. Frieze} et al., Discrete Anal. 2020, Article No. 15, 17 p. (2020; Zbl 1453.52006) Full Text: DOI arXiv
Du, Wenqian; Benamar, Faïz A compact form dynamics controller for a high-DOF tetrapod-on-wheel robot with one manipulator via null space based convex optimization and compatible impedance controllers. (English) Zbl 07262556 Multibody Syst. Dyn. 49, No. 4, 447-463 (2020). MSC: 70E60 93C85 90C25 PDF BibTeX XML Cite \textit{W. Du} and \textit{F. Benamar}, Multibody Syst. Dyn. 49, No. 4, 447--463 (2020; Zbl 07262556) Full Text: DOI
de Araujo, Robson R.; Jorge, Grasiele C. Constructions of full diversity \(D_n\)-lattices for all \(n\). (English) Zbl 1453.11089 Rocky Mt. J. Math. 50, No. 4, 1137-1150 (2020). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 11H31 11R18 11R80 PDF BibTeX XML Cite \textit{R. R. de Araujo} and \textit{G. C. Jorge}, Rocky Mt. J. Math. 50, No. 4, 1137--1150 (2020; Zbl 1453.11089) Full Text: DOI Euclid
Pausinger, Florian Long shortest vectors in low dimensional lattices. (English) Zbl 1453.11090 Discrete Math. 343, No. 12, Article ID 112138, 11 p. (2020). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 PDF BibTeX XML Cite \textit{F. Pausinger}, Discrete Math. 343, No. 12, Article ID 112138, 11 p. (2020; Zbl 1453.11090) Full Text: DOI
Oertel, Timm; Paat, Joseph; Weismantel, Robert The distributions of functions related to parametric integer optimization. (English) Zbl 1451.90101 SIAM J. Appl. Algebra Geom. 4, No. 3, 422-440 (2020). MSC: 90C10 52C07 PDF BibTeX XML Cite \textit{T. Oertel} et al., SIAM J. Appl. Algebra Geom. 4, No. 3, 422--440 (2020; Zbl 1451.90101) Full Text: DOI
Bordignon, Matteo; Kerr, Bryce An explicit Pólya-Vinogradov inequality via partial Gaussian sums. (English) Zbl 07255585 Trans. Am. Math. Soc. 373, No. 9, 6503-6527 (2020). MSC: 11L40 11L05 11H06 11H60 PDF BibTeX XML Cite \textit{M. Bordignon} and \textit{B. Kerr}, Trans. Am. Math. Soc. 373, No. 9, 6503--6527 (2020; Zbl 07255585) Full Text: DOI
H, Piper; Harron, Robert The shapes of Galois quartic fields. (English) Zbl 07254275 Trans. Am. Math. Soc. 373, No. 10, 7109-7152 (2020). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 11R16 11R45 11E12 11P21 11H06 15A03 52C05 PDF BibTeX XML Cite \textit{P. H} and \textit{R. Harron}, Trans. Am. Math. Soc. 373, No. 10, 7109--7152 (2020; Zbl 07254275) Full Text: DOI
Markesinis, Eleftherios Central sections of a convex body with ellipsoid of maximal volume \(B_2^n\). (English) Zbl 1448.52006 Math. Ann. 378, No. 1-2, 233-241 (2020). Reviewer: Sorin-Mihai Grad (Wien) MSC: 52A23 46B06 52A40 PDF BibTeX XML Cite \textit{E. Markesinis}, Math. Ann. 378, No. 1--2, 233--241 (2020; Zbl 1448.52006) Full Text: DOI
Castillo, Federico; Liu, Fu On the Todd class of the permutohedral variety. (English) Zbl 1447.05234 Sémin. Lothar. Comb. 84B, 84B.88, 12 p. (2020). MSC: 05E14 52B20 52B12 14M25 PDF BibTeX XML Cite \textit{F. Castillo} and \textit{F. Liu}, Sémin. Lothar. Comb. 84B, 84B.88, 12 p. (2020; Zbl 1447.05234) Full Text: Link
Denney, Tomme; Hooker, Da’Shay; Johnson, De’Janeke; Robinson, Tianna; Butler, Majid; Claiborne, Sandernisha The geometry of \(H_4\) polytopes. (English) Zbl 1450.52009 Adv. Geom. 20, No. 3, 433-444 (2020). Reviewer: Nicholas Williams (Leicester) MSC: 52B11 52C07 52B20 PDF BibTeX XML Cite \textit{T. Denney} et al., Adv. Geom. 20, No. 3, 433--444 (2020; Zbl 1450.52009) Full Text: DOI
Altmann, Klaus; Ploog, David Displaying the cohomology of toric line bundles. (English. Russian original) Zbl 07244033 Izv. Math. 84, No. 4, 683-693 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 4, 66-78 (2020). Reviewer: Andreas Hochenegger (Milano) MSC: 14M25 52B20 14C20 14F06 PDF BibTeX XML Cite \textit{K. Altmann} and \textit{D. Ploog}, Izv. Math. 84, No. 4, 683--693 (2020; Zbl 07244033); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 4, 66--78 (2020) Full Text: DOI
de Moraes, Michael; Novacoski, Josnei Perron transforms and Hironaka’s game. (English) Zbl 1441.13010 J. Algebra 563, 100-110 (2020). MSC: 13A18 14M25 14B05 52B20 91A05 PDF BibTeX XML Cite \textit{M. de Moraes} and \textit{J. Novacoski}, J. Algebra 563, 100--110 (2020; Zbl 1441.13010) Full Text: DOI
Baird, Paul; Fardoun, Ali; Hanna, Zeina Ghazo Quadratic cyclic sequences. (English) Zbl 07242539 Monatsh. Math. 193, No. 2, 195-232 (2020). MSC: 11B83 52C05 82B41 PDF BibTeX XML Cite \textit{P. Baird} et al., Monatsh. Math. 193, No. 2, 195--232 (2020; Zbl 07242539) Full Text: DOI
Hunkenschröder, Christoph; Reuland, Gina; Schymura, Matthias On compact representations of Voronoi cells of lattices. (English) Zbl 1451.11061 Math. Program. 183, No. 1-2 (B), 337-358 (2020). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 52C07 68Q25 PDF BibTeX XML Cite \textit{C. Hunkenschröder} et al., Math. Program. 183, No. 1--2 (B), 337--358 (2020; Zbl 1451.11061) Full Text: DOI
Joós, Antal; Nagy, Bálint Optimal packings of 2,3, and 4 equal balls into a cubical flat 3-torus. (English) Zbl 1446.52014 Boll. Unione Mat. Ital. 13, No. 3, 335-340 (2020). MSC: 52C17 52C07 PDF BibTeX XML Cite \textit{A. Joós} and \textit{B. Nagy}, Boll. Unione Mat. Ital. 13, No. 3, 335--340 (2020; Zbl 1446.52014) Full Text: DOI
Rubinstein, Yanir A. High-dimensional convex sets arising in algebraic geometry. (English) Zbl 1441.14033 Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2017–2019. Volume II. Cham: Springer. Lect. Notes Math. 2266, 301-323 (2020). MSC: 14C20 14M25 14E05 52A20 PDF BibTeX XML Cite \textit{Y. A. Rubinstein}, Lect. Notes Math. 2266, 301--323 (2020; Zbl 1441.14033) Full Text: DOI
Klartag, Bo’az; Livshyts, Galyna V. The lower bound for Koldobsky’s slicing inequality via random rounding. (English) Zbl 1446.52006 Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2017–2019. Volume II. Cham: Springer. Lect. Notes Math. 2266, 43-63 (2020). MSC: 52A40 52A20 PDF BibTeX XML Cite \textit{B. Klartag} and \textit{G. V. Livshyts}, Lect. Notes Math. 2266, 43--63 (2020; Zbl 1446.52006) Full Text: DOI
Bourgain, Jean; Mirek, Mariusz; Stein, Elias M.; Wróbel, Błażej On discrete Hardy-Littlewood maximal functions over the balls in \(\mathbb{Z}^d\): dimension-free estimates. (English) Zbl 1446.42026 Klartag, Bo’az (ed.) et al., Geometric aspects of functional analysis. Israel seminar (GAFA) 2017–2019. Volume 1. Cham: Springer. Lect. Notes Math. 2256, 127-169 (2020). MSC: 42B25 PDF BibTeX XML Cite \textit{J. Bourgain} et al., Lect. Notes Math. 2256, 127--169 (2020; Zbl 1446.42026) Full Text: DOI
Braun, Lukas; Hättig, Daniel Canonical threefold singularities with a torus action of complexity one and \(k\)-empty polytopes. (English) Zbl 07235587 Rocky Mt. J. Math. 50, No. 3, 881-939 (2020). MSC: 14B05 14M25 11B57 14R05 52B20 PDF BibTeX XML Cite \textit{L. Braun} and \textit{D. Hättig}, Rocky Mt. J. Math. 50, No. 3, 881--939 (2020; Zbl 07235587) Full Text: DOI Euclid
Prince, Thomas Cracked polytopes and Fano toric complete intersections. (English) Zbl 07233347 Manuscr. Math. 163, No. 1-2, 165-183 (2020). MSC: 14M25 14J45 52B20 PDF BibTeX XML Cite \textit{T. Prince}, Manuscr. Math. 163, No. 1--2, 165--183 (2020; Zbl 07233347) Full Text: DOI
Choi, Ilkyoo; Joo, Weonyoung; Kim, Minki The layer number of \(\alpha \)-evenly distributed point sets. (English) Zbl 1446.52011 Discrete Math. 343, No. 10, Article ID 112029, 8 p. (2020). MSC: 52C07 05B25 52A20 52B55 PDF BibTeX XML Cite \textit{I. Choi} et al., Discrete Math. 343, No. 10, Article ID 112029, 8 p. (2020; Zbl 1446.52011) Full Text: DOI
Dulio, Paolo; Frosini, Andrea; Pagani, Silvia M. C.; Rinaldi, Simone Ambiguous reconstructions of hv-convex polyominoes. (English) Zbl 1445.05026 Discrete Math. 343, No. 10, Article ID 111998, 11 p. (2020). MSC: 05B50 05B25 52C05 PDF BibTeX XML Cite \textit{P. Dulio} et al., Discrete Math. 343, No. 10, Article ID 111998, 11 p. (2020; Zbl 1445.05026) Full Text: DOI
Wang, Jie; Si, Lin The polar of convex lattice sets. (English) Zbl 1450.11063 Contrib. Discrete Math. 15, No. 1, 42-51 (2020). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 52C07 PDF BibTeX XML Cite \textit{J. Wang} and \textit{L. Si}, Contrib. Discrete Math. 15, No. 1, 42--51 (2020; Zbl 1450.11063) Full Text: DOI
Dawson, Robert J. MacG. Partitioning the \(5\times 5\) array into restrictions of circles. (English) Zbl 1450.52011 Contrib. Discrete Math. 15, No. 1, 12-21 (2020). Reviewer: Gabriela Cristescu (Arad) MSC: 52C05 PDF BibTeX XML Cite \textit{R. J. MacG. Dawson}, Contrib. Discrete Math. 15, No. 1, 12--21 (2020; Zbl 1450.52011) Full Text: DOI
Zorin-Kranich, Pavel Kakeya-Brascamp-Lieb inequalities. (English) Zbl 1451.26034 Collect. Math. 71, No. 3, 471-492 (2020). Reviewer: Choonkil Park (Seoul) MSC: 26D15 52C07 PDF BibTeX XML Cite \textit{P. Zorin-Kranich}, Collect. Math. 71, No. 3, 471--492 (2020; Zbl 1451.26034) Full Text: DOI
Roy, Damien Simultaneous approximation to values of the exponential function over the adeles. (English) Zbl 07229153 Math. Ann. 377, No. 3-4, 1057-1093 (2020). Reviewer: István Gaál (Debrecen) MSC: 11J13 11J61 11J82 11H06 PDF BibTeX XML Cite \textit{D. Roy}, Math. Ann. 377, No. 3--4, 1057--1093 (2020; Zbl 07229153) Full Text: DOI
Kabluchko, Zakhar; Prochno, Joscha; Thäle, Christoph Exact asymptotic volume and volume ratio of Schatten unit balls. (English) Zbl 07227729 J. Approx. Theory 257, Article ID 105457, 12 p. (2020). Reviewer: Carsten Schütt (Kiel) MSC: 46B06 60B20 46B07 47B10 52A21 31A15 PDF BibTeX XML Cite \textit{Z. Kabluchko} et al., J. Approx. Theory 257, Article ID 105457, 12 p. (2020; Zbl 07227729) Full Text: DOI
Hu, Sihuang; Nebe, Gabriele Strongly perfect lattices sandwiched between Barnes-Wall lattices. (English) Zbl 07226675 J. Lond. Math. Soc., II. Ser. 101, No. 3, 1068-1089 (2020). MSC: 11H06 11H56 20C33 94B15 11H50 11H55 11H71 PDF BibTeX XML Cite \textit{S. Hu} and \textit{G. Nebe}, J. Lond. Math. Soc., II. Ser. 101, No. 3, 1068--1089 (2020; Zbl 07226675) Full Text: DOI arXiv
Illarionov, Andreĭ A. The statistical properties of 3D Klein polyhedra. (English. Russian original) Zbl 1446.11130 Sb. Math. 211, No. 5, 689-708 (2020); translation from Mat. Sb. 211, No. 5, 78-97 (2020). MSC: 11H06 11J70 PDF BibTeX XML Cite \textit{A. A. Illarionov}, Sb. Math. 211, No. 5, 689--708 (2020; Zbl 1446.11130); translation from Mat. Sb. 211, No. 5, 78--97 (2020) Full Text: DOI
Lagacé, Jean Eigenvalue optimisation on flat tori and lattice points in anisotropically expanding domains. (English) Zbl 1448.58026 Can. J. Math. 72, No. 4, 967-987 (2020). MSC: 58J50 11H06 35P15 35P20 35R01 PDF BibTeX XML Cite \textit{J. Lagacé}, Can. J. Math. 72, No. 4, 967--987 (2020; Zbl 1448.58026) Full Text: DOI
Hinrichs, Aicke; Krieg, David; Novak, Erich; Prochno, Joscha; Ullrich, Mario On the power of random information. (English) Zbl 07224895 Hickernell, Fred J. (ed.) et al., Multivariate algorithms and information-based complexity. Berlin: De Gruyter (ISBN 978-3-11-063311-5/hbk; 978-3-11-063546-1/ebook). Radon Series on Computational and Applied Mathematics 27, 43-64 (2020). MSC: 65Y20 52A23 65D15 65D32 68Q87 PDF BibTeX XML Cite \textit{A. Hinrichs} et al., Radon Ser. Comput. Appl. Math. 27, 43--64 (2020; Zbl 07224895) Full Text: DOI
Brandolini, Luca; Travaglini, Giancarlo Fourier analytic techniques for lattice point discrepancy. (English) Zbl 1451.11060 Bilyk, Dmitriy (ed.) et al., Discrepancy theory. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 26, 173-216 (2020). Reviewer: Anton Shutov (Vladimir) MSC: 11H06 11K38 42B05 PDF BibTeX XML Cite \textit{L. Brandolini} and \textit{G. Travaglini}, Radon Ser. Comput. Appl. Math. 26, 173--216 (2020; Zbl 1451.11060) Full Text: DOI
Garber, Alexey; Pak, Igor Concrete polytopes may not tile the space. (English) Zbl 1445.52017 Mathematika 66, No. 4, 920-926 (2020). Reviewer: Anton Shutov (Vladimir) MSC: 52C22 52B20 52B45 52C07 PDF BibTeX XML Cite \textit{A. Garber} and \textit{I. Pak}, Mathematika 66, No. 4, 920--926 (2020; Zbl 1445.52017) Full Text: DOI
Marshall, Nicholas F. Stretching convex domains to capture many lattice points. (English) Zbl 1448.52012 Int. Math. Res. Not. 2020, No. 10, 2918-2951 (2020). Reviewer: Arthur Baragar (Las Vegas) MSC: 52C07 11P21 PDF BibTeX XML Cite \textit{N. F. Marshall}, Int. Math. Res. Not. 2020, No. 10, 2918--2951 (2020; Zbl 1448.52012) Full Text: DOI
Wei, X.; Wang, W.; Guo, Z. The minimum number of interior \(H\)-points of convex \(H\)-dodecagons. (English) Zbl 07215377 Math. Notes 107, No. 3, 509-517 (2020). MSC: 52B20 05A15 11H06 52C07 PDF BibTeX XML Cite \textit{X. Wei} et al., Math. Notes 107, No. 3, 509--517 (2020; Zbl 07215377) Full Text: DOI
Aliev, Iskander; Henk, Martin; Oertel, Timm Distances to lattice points in knapsack polyhedra. (English) Zbl 1445.90059 Math. Program. 182, No. (1-2 (A)), 175-198 (2020). MSC: 90C10 52C07 11H31 PDF BibTeX XML Cite \textit{I. Aliev} et al., Math. Program. 182, No. (1--2 (A)), 175--198 (2020; Zbl 1445.90059) Full Text: DOI
Li, Jialun Finiteness of small eigenvalues of geometrically finite rank one locally symmetric manifolds. (English) Zbl 1443.58018 Math. Res. Lett. 27, No. 2, 465-500 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 58J50 52C07 PDF BibTeX XML Cite \textit{J. Li}, Math. Res. Lett. 27, No. 2, 465--500 (2020; Zbl 1443.58018) Full Text: DOI
Coquereaux, Robert Theta functions for lattices of SU(3) hyper-roots. (English) Zbl 07214105 Exp. Math. 29, No. 2, 137-162 (2020). MSC: 17B37 17B67 18D10 22E46 52C07 81R10 81T40 PDF BibTeX XML Cite \textit{R. Coquereaux}, Exp. Math. 29, No. 2, 137--162 (2020; Zbl 07214105) Full Text: DOI
Ohsugi, Hidefumi; Tsuchiya, Akiyoshi Enriched chain polytopes. (English) Zbl 1453.52013 Isr. J. Math. 237, No. 1, 485-500 (2020). Reviewer: Uma Kant Sahoo (Kolkata) MSC: 52B20 14M25 14J30 52B70 PDF BibTeX XML Cite \textit{H. Ohsugi} and \textit{A. Tsuchiya}, Isr. J. Math. 237, No. 1, 485--500 (2020; Zbl 1453.52013) Full Text: DOI
Borger, Christopher; Nill, Benjamin On defectivity of families of full-dimensional point configurations. (English) Zbl 1442.14164 Proc. Am. Math. Soc., Ser. B 7, 43-51 (2020). MSC: 14M25 52B20 52A39 13P15 PDF BibTeX XML Cite \textit{C. Borger} and \textit{B. Nill}, Proc. Am. Math. Soc., Ser. B 7, 43--51 (2020; Zbl 1442.14164) Full Text: DOI
Berg, Astrid; Schuster, Franz E. Lutwak-Petty projection inequalities for Minkowski valuations and their duals. (English) Zbl 1450.52006 J. Math. Anal. Appl. 490, No. 1, Article ID 124190, 23 p. (2020). Reviewer: Fabian Mußnig (Firenze) MSC: 52A40 51M16 52B45 PDF BibTeX XML Cite \textit{A. Berg} and \textit{F. E. Schuster}, J. Math. Anal. Appl. 490, No. 1, Article ID 124190, 23 p. (2020; Zbl 1450.52006) Full Text: DOI
Loho, Georg; Smith, Ben Matching fields and lattice points of simplices. (English) Zbl 1442.05256 Adv. Math. 370, Article ID 107232, 41 p. (2020). MSC: 05E45 05E14 52B20 14T15 14N15 14M25 PDF BibTeX XML Cite \textit{G. Loho} and \textit{B. Smith}, Adv. Math. 370, Article ID 107232, 41 p. (2020; Zbl 1442.05256) Full Text: DOI
Iglesias, David; Yepes Nicolás, Jesús; Zvavitch, Artem Brunn-Minkowski type inequalities for the lattice point enumerator. (English) Zbl 1445.52013 Adv. Math. 370, Article ID 107193, 24 p. (2020). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 52C07 11H06 52A40 PDF BibTeX XML Cite \textit{D. Iglesias} et al., Adv. Math. 370, Article ID 107193, 24 p. (2020; Zbl 1445.52013) Full Text: DOI
Deza, Antoine; Pournin, Lionel; Sukegawa, Noriyoshi The diameter of lattice zonotopes. (English) Zbl 1443.52011 Proc. Am. Math. Soc. 148, No. 8, 3507-3516 (2020). Reviewer: Anna Romanowska (Warszawa) MSC: 52B20 52B11 11H06 05C12 PDF BibTeX XML Cite \textit{A. Deza} et al., Proc. Am. Math. Soc. 148, No. 8, 3507--3516 (2020; Zbl 1443.52011) Full Text: DOI
Zheng, Xi Yin Attainable separation property and asymptotic hyperplane for a closed convex set in a normed space. (English) Zbl 1440.52007 J. Math. Anal. Appl. 489, No. 1, Article ID 124121, 17 p. (2020). MSC: 52A21 52A23 46B06 PDF BibTeX XML Cite \textit{X. Y. Zheng}, J. Math. Anal. Appl. 489, No. 1, Article ID 124121, 17 p. (2020; Zbl 1440.52007) Full Text: DOI
Chasapis, Giorgos; Giannopoulos, Apostolos; Skarmogiannis, Nikos Norms of weighted sums of log-concave random vectors. (English) Zbl 1445.52004 Commun. Contemp. Math. 22, No. 4, Article ID 1950036, 31 p. (2020). Reviewer: Viktor Ohanyan (Erevan) MSC: 52A23 52A40 52A22 PDF BibTeX XML Cite \textit{G. Chasapis} et al., Commun. Contemp. Math. 22, No. 4, Article ID 1950036, 31 p. (2020; Zbl 1445.52004) Full Text: DOI
Guédon, O.; Litvak, A. E.; Tatarko, K. Random polytopes obtained by matrices with heavy-tailed entries. (English) Zbl 1440.52010 Commun. Contemp. Math. 22, No. 4, Article ID 1950027, 28 p. (2020). MSC: 52A22 46B06 60B20 52A23 46B09 15B52 PDF BibTeX XML Cite \textit{O. Guédon} et al., Commun. Contemp. Math. 22, No. 4, Article ID 1950027, 28 p. (2020; Zbl 1440.52010) Full Text: DOI
Hussain, Naveed; Luo, Xue; Yau, Stephen S.-T.; Zhang, Mingyi; Zuo, Huaiqing On classification of toric surface codes of dimension seven. (English) Zbl 07209680 Commun. Anal. Geom. 28, No. 2, 263-319 (2020). MSC: 94B27 52B20 14M25 PDF BibTeX XML Cite \textit{N. Hussain} et al., Commun. Anal. Geom. 28, No. 2, 263--319 (2020; Zbl 07209680) Full Text: DOI
Gariboldi, Bianca Discrepancy of a convex set with zero curvature at one point. (English) Zbl 1451.11087 Mathematika 66, No. 2, 458-474 (2020). Reviewer: Christoph Aistleitner (Graz) MSC: 11K38 11H06 42B05 52C07 PDF BibTeX XML Cite \textit{B. Gariboldi}, Mathematika 66, No. 2, 458--474 (2020; Zbl 1451.11087) Full Text: DOI
Pak, Igor; Panova, Greta Bounds on Kronecker coefficients via contingency tables. (English) Zbl 1441.05226 Linear Algebra Appl. 602, 157-178 (2020). MSC: 05E05 05E10 05A16 52C07 62H17 PDF BibTeX XML Cite \textit{I. Pak} and \textit{G. Panova}, Linear Algebra Appl. 602, 157--178 (2020; Zbl 1441.05226) Full Text: DOI