Déglise, Frédéric; Fasel, Jean; Jin, Fangzhou; Khan, Adeel A. On the rational motivic homotopy category. (Sur la catégorie \(\mathbb{A}^1\)-homotopique rationnelle.) (English. French summary) Zbl 07329546 J. Éc. Polytech., Math. 8, 533-583 (2021). MSC: 14F42 19E15 19G12 11E81 14C25 14C35 PDF BibTeX XML Cite \textit{F. Déglise} et al., J. Éc. Polytech., Math. 8, 533--583 (2021; Zbl 07329546) Full Text: DOI
Charollois, Pierre; Li, Yingkun Erratum to: “Harmonic Maass forms associated to real quadratic fields”. (English) Zbl 07328129 J. Eur. Math. Soc. (JEMS) 23, No. 3, 1051 (2021). MSC: 11F27 11F30 11F37 PDF BibTeX XML Cite \textit{P. Charollois} and \textit{Y. Li}, J. Eur. Math. Soc. (JEMS) 23, No. 3, 1051 (2021; Zbl 07328129) Full Text: DOI
Pesaran, M. Hashem; Yang, Cynthia Fan Estimation and inference in spatial models with dominant units. (English) Zbl 07327176 J. Econom. 221, No. 2, 591-615 (2021). MSC: 62 91 PDF BibTeX XML Cite \textit{M. H. Pesaran} and \textit{C. F. Yang}, J. Econom. 221, No. 2, 591--615 (2021; Zbl 07327176) Full Text: DOI
Elezi, A.; Shaska, T. Reduction of binary forms via the hyperbolic centroid. (English) Zbl 07319667 Lobachevskii J. Math. 42, No. 1, 84-95 (2021). MSC: 11H55 53C25 PDF BibTeX XML Cite \textit{A. Elezi} and \textit{T. Shaska}, Lobachevskii J. Math. 42, No. 1, 84--95 (2021; Zbl 07319667) Full Text: DOI
Chan, Wai Kiu; Icaza, María Inés Hermite reduction and a Waring’s problem for integral quadratic forms over number fields. (English) Zbl 07319113 Trans. Am. Math. Soc. 374, No. 4, 2967-2985 (2021). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E12 11E25 11E39 PDF BibTeX XML Cite \textit{W. K. Chan} and \textit{M. I. Icaza}, Trans. Am. Math. Soc. 374, No. 4, 2967--2985 (2021; Zbl 07319113) Full Text: DOI
Grimm, David; Leep, David B. Hereditarily non-Pythagorean fields. (English) Zbl 07318824 J. Algebra 574, 434-452 (2021). Reviewer: Andrew G. Earnest (Carbondale) MSC: 12D15 11E25 11R04 12F05 12F15 PDF BibTeX XML Cite \textit{D. Grimm} and \textit{D. B. Leep}, J. Algebra 574, 434--452 (2021; Zbl 07318824) Full Text: DOI
Browning, Tim D.; Heath-Brown, Roger The geometric sieve for quadrics. (English) Zbl 07318796 Forum Math. 33, No. 1, 147-165 (2021). MSC: 11D45 11G35 11G50 11P55 14G05 14G25 PDF BibTeX XML Cite \textit{T. D. Browning} and \textit{R. Heath-Brown}, Forum Math. 33, No. 1, 147--165 (2021; Zbl 07318796) Full Text: DOI
Ye, Dongxi Proof of a conjecture of Cooper. (English) Zbl 07318728 J. Number Theory 222, 38-47 (2021). MSC: 11E25 11F11 PDF BibTeX XML Cite \textit{D. Ye}, J. Number Theory 222, 38--47 (2021; Zbl 07318728) Full Text: DOI
Dressler, Mareike Real zeros of SONC polynomials. (English) Zbl 07317136 J. Pure Appl. Algebra 225, No. 7, Article ID 106602, 24 p. (2021). MSC: 12D15 14P05 26C10 11E10 11E25 52B20 90C25 05E99 PDF BibTeX XML Cite \textit{M. Dressler}, J. Pure Appl. Algebra 225, No. 7, Article ID 106602, 24 p. (2021; Zbl 07317136) Full Text: DOI
Ibort, Alberto; Llavona, José G.; Lledó, Fernando; Pérez-Pardo, Juan Manuel Representation of non-semibounded quadratic forms and orthogonal additivity. (English) Zbl 07315664 J. Math. Anal. Appl. 495, No. 2, Article ID 124783, 25 p. (2021). MSC: 81Q10 11E41 22D10 35P05 PDF BibTeX XML Cite \textit{A. Ibort} et al., J. Math. Anal. Appl. 495, No. 2, Article ID 124783, 25 p. (2021; Zbl 07315664) Full Text: DOI
Aygin, Zafer Selcuk; Williams, Kenneth S. Derivable quadratic forms and representation numbers. (English) Zbl 07315635 J. Math. Anal. Appl. 495, No. 2, Article ID 124745, 40 p. (2021). MSC: 11 05 PDF BibTeX XML Cite \textit{Z. S. Aygin} and \textit{K. S. Williams}, J. Math. Anal. Appl. 495, No. 2, Article ID 124745, 40 p. (2021; Zbl 07315635) Full Text: DOI
Wakayama, Masato Number theoretic study in quantum interactions. (English) Zbl 07315585 Takagi, Tsuyoshi (ed.) et al., International symposium on mathematics, quantum theory, and cryptography. Proceedings of MQC 2019, Fukuoka, Japan, September 25–27, 2019. Singapore: Springer (ISBN 978-981-15-5190-1/hbk; 978-981-15-5191-8/ebook). Mathematics for Industry 33, 95-101 (2021). MSC: 81Q05 35P20 35P15 14H50 14H52 11M36 11E04 PDF BibTeX XML Cite \textit{M. Wakayama}, Math. Ind. (Tokyo) 33, 95--101 (2021; Zbl 07315585) Full Text: DOI
Roy, Saikat; Senapati, Tanusri; Sain, Debmalya Orthogonality of bilinear forms and application to matrices. (English) Zbl 07312153 Linear Algebra Appl. 615, 104-111 (2021). MSC: 46A32 15A63 PDF BibTeX XML Cite \textit{S. Roy} et al., Linear Algebra Appl. 615, 104--111 (2021; Zbl 07312153) Full Text: DOI
Simson, Daniel A Coxeter spectral classification of positive edge-bipartite graphs. II: Dynkin type \(\mathbb{D}_n\). (English) Zbl 07312065 Linear Algebra Appl. 612, 223-272 (2021). MSC: 05C22 05C50 11E04 15A63 68R05 68W30 PDF BibTeX XML Cite \textit{D. Simson}, Linear Algebra Appl. 612, 223--272 (2021; Zbl 07312065) Full Text: DOI
Saltenberger, Philip; Senn, Michel-Niklas On skew-Hamiltonian matrices and their Krylov-Lagrangian subspaces. (English) Zbl 07312033 Linear Algebra Appl. 611, 66-81 (2021). Reviewer: Tin Yau Tam (Reno) MSC: 15A21 15A04 15A29 15A63 15B99 37J37 PDF BibTeX XML Cite \textit{P. Saltenberger} and \textit{M.-N. Senn}, Linear Algebra Appl. 611, 66--81 (2021; Zbl 07312033) Full Text: DOI
Cedó, Ferran; Jespers, Eric; Okniński, Jan Set-theoretic solutions of the Yang-Baxter equation, associated quadratic algebras and the minimality condition. (English) Zbl 07311764 Rev. Mat. Complut. 34, No. 1, 99-129 (2021). Reviewer: Cristian Vay (Córdoba) MSC: 16T25 16S15 16S36 16S37 16W50 16P90 81R50 PDF BibTeX XML Cite \textit{F. Cedó} et al., Rev. Mat. Complut. 34, No. 1, 99--129 (2021; Zbl 07311764) Full Text: DOI
Groenewald, G. J.; Janse van Rensburg, D. B.; Ran, A. C. M.; Theron, F.; van Straaten, M. \(m\) th roots of \(H\)-selfadjoint matrices. (English) Zbl 07311332 Linear Algebra Appl. 610, 804-826 (2021). Reviewer: Tin Yau Tam (Reno) MSC: 15A21 15A16 15A63 15B57 PDF BibTeX XML Cite \textit{G. J. Groenewald} et al., Linear Algebra Appl. 610, 804--826 (2021; Zbl 07311332) Full Text: DOI
Simson, Daniel; Zając, Katarzyna On mesh geometries of root Coxeter orbits and mesh algorithms for corank two edge-bipartite signed graphs. (English) Zbl 07311329 Linear Algebra Appl. 610, 698-765 (2021). Reviewer: V. Lokesha (Bangalore) MSC: 05C22 05C50 06A11 15A63 68R05 68W30 PDF BibTeX XML Cite \textit{D. Simson} and \textit{K. Zając}, Linear Algebra Appl. 610, 698--765 (2021; Zbl 07311329) Full Text: DOI
Belitskii, Genrich R.; Futorny, Vyacheslav; Muzychuk, Mikhail; Sergeichuk, Vladimir V. Congruence of matrix spaces, matrix tuples, and multilinear maps. (English) Zbl 07309803 Linear Algebra Appl. 609, 317-331 (2021). Reviewer: John D. Dixon (Ottawa) MSC: 15A04 15A21 15A30 15A63 15A69 PDF BibTeX XML Cite \textit{G. R. Belitskii} et al., Linear Algebra Appl. 609, 317--331 (2021; Zbl 07309803) Full Text: DOI
He, Zilong; Kane, Ben Sign changes of Fourier coefficients of cusp forms of half-integral weight over split and inert primes in quadratic number fields. (English) Zbl 07304557 Res. Number Theory 7, No. 1, Paper No. 10, 17 p. (2021). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 11F30 11N69 11R11 11E20 PDF BibTeX XML Cite \textit{Z. He} and \textit{B. Kane}, Res. Number Theory 7, No. 1, Paper No. 10, 17 p. (2021; Zbl 07304557) Full Text: DOI
Fisher, Tom; Ho, Wei; Park, Jennifer Everywhere local solubility for hypersurfaces in products of projective spaces. (English) Zbl 07304553 Res. Number Theory 7, No. 1, Paper No. 6, 27 p. (2021). MSC: 11G05 14J45 11E12 11G07 11G35 14G05 PDF BibTeX XML Cite \textit{T. Fisher} et al., Res. Number Theory 7, No. 1, Paper No. 6, 27 p. (2021; Zbl 07304553) Full Text: DOI
Zdanowicz, Maciej Emilian Arithmetically rigid schemes via deformation theory of equivariant vector bundles. (English) Zbl 07303575 Math. Z. 297, No. 1-2, 361-387 (2021). MSC: 14G17 14M17 14M25 14J45 11E57 11E08 11E95 11F85 14G20 PDF BibTeX XML Cite \textit{M. E. Zdanowicz}, Math. Z. 297, No. 1--2, 361--387 (2021; Zbl 07303575) Full Text: DOI
Yang, Nanjun Quaternionic projective bundle theorem and Gysin triangle in MW-motivic cohomology. (English) Zbl 07302642 Manuscr. Math. 164, No. 1-2, 39-65 (2021). MSC: 14F42 19E15 11E81 PDF BibTeX XML Cite \textit{N. Yang}, Manuscr. Math. 164, No. 1--2, 39--65 (2021; Zbl 07302642) Full Text: DOI
Bosch, Siegfried Linear algebra. A basic course with exercises trainer. 6th revised edition. (Lineare algebra. Ein Grundkurs mit Aufgabentrainer.) (English) Zbl 07301957 Berlin: Springer Spektrum (ISBN 978-3-662-62615-3/pbk; 978-3-662-62616-0/ebook). x, 503 p. (2021). MSC: 15-01 15B57 65F05 15A04 15A03 15A15 12D10 15A18 15A21 15A63 PDF BibTeX XML Cite \textit{S. Bosch}, Lineare algebra. Ein Grundkurs mit Aufgabentrainer. 6th revised edition. Berlin: Springer Spektrum (2021; Zbl 07301957) Full Text: DOI
Osińska-Ulrych, Beata; Skalski, Grzegorz; Szlachcińska, Anna Łojasiewicz inequality for a pair of semialgebraic functions. (English) Zbl 07300218 Bull. Sci. Math. 166, Article ID 102927, 27 p. (2021). MSC: 14R99 11E25 14P05 32S70 PDF BibTeX XML Cite \textit{B. Osińska-Ulrych} et al., Bull. Sci. Math. 166, Article ID 102927, 27 p. (2021; Zbl 07300218) Full Text: DOI
Petrov, Fedor; Pohoata, Cosmin A remark on sets with few distances in \(\mathbb{R}^d\). (English) Zbl 1455.05077 Proc. Am. Math. Soc. 149, No. 2, 569-571 (2021). MSC: 05D40 PDF BibTeX XML Cite \textit{F. Petrov} and \textit{C. Pohoata}, Proc. Am. Math. Soc. 149, No. 2, 569--571 (2021; Zbl 1455.05077) 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
Hájek, Petr A Hilbert space characterization using a pair of decompositions. (English) Zbl 07285371 J. Funct. Anal. 280, No. 2, Article ID 108828, 23 p. (2021). MSC: 46C15 46B04 15A63 PDF BibTeX XML Cite \textit{P. Hájek}, J. Funct. Anal. 280, No. 2, Article ID 108828, 23 p. (2021; Zbl 07285371) Full Text: DOI
Banerjee, Soumyarup; Batavia, Manav; Kane, Ben; Kyranbay, Muratzhan; Park, Dayoon; Saha, Sagnik; So, Hiu Chun; Varyani, Piyush Fermat’s polygonal number theorem for repeated generalized polygonal numbers. (English) Zbl 07276980 J. Number Theory 220, 163-181 (2021). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11D85 11E12 11E25 PDF BibTeX XML Cite \textit{S. Banerjee} et al., J. Number Theory 220, 163--181 (2021; Zbl 07276980) Full Text: DOI
Hu, Guangwei; Lü, Guangshi Sums of higher divisor functions. (English) Zbl 07276975 J. Number Theory 220, 61-74 (2021). MSC: 11N37 11E25 11P55 PDF BibTeX XML Cite \textit{G. Hu} and \textit{G. Lü}, J. Number Theory 220, 61--74 (2021; Zbl 07276975) Full Text: DOI
Murakami, Yuya Corrigendum to: “Intersection numbers of modular correspondences for genus zero modular curves”. (English) Zbl 07276970 J. Number Theory 219, 460-465 (2021). MSC: 11F32 14C17 11F46 14G35 11E12 PDF BibTeX XML Cite \textit{Y. Murakami}, J. Number Theory 219, 460--465 (2021; Zbl 07276970) Full Text: DOI
Makuracki, Bartosz; Mróz, Andrzej Quadratic algorithm to compute the Dynkin type of a positive definite quasi-Cartan matrix. (English) Zbl 07268664 Math. Comput. 90, No. 327, 389-412 (2021). MSC: 68Q25 68W30 15A21 05C22 PDF BibTeX XML Cite \textit{B. Makuracki} and \textit{A. Mróz}, Math. Comput. 90, No. 327, 389--412 (2021; Zbl 07268664) Full Text: DOI
Sivatski, A. S. Some versions of the \(u\)-invariant of a field. (English) Zbl 1454.11065 J. Pure Appl. Algebra 225, No. 4, Article ID 106569, 8 p. (2021). Reviewer: Adam Chapman (Tel Hai) MSC: 11E04 11E81 PDF BibTeX XML Cite \textit{A. S. Sivatski}, J. Pure Appl. Algebra 225, No. 4, Article ID 106569, 8 p. (2021; Zbl 1454.11065) Full Text: DOI
Bandi, Prasuna; Ghosh, Anish; Han, Jiyoung A generic effective Oppenheim theorem for systems of forms. (English) Zbl 07257232 J. Number Theory 218, 311-333 (2021). MSC: 11H60 11H55 11K60 PDF BibTeX XML Cite \textit{P. Bandi} et al., J. Number Theory 218, 311--333 (2021; Zbl 07257232) Full Text: DOI
Dickmann, M.; Petrovich, A. Fans in the theory of real semigroups. (English) Zbl 07328587 Diss. Math. 556, 1-79 (2020). MSC: 06F25 11E81 14P10 20M25 PDF BibTeX XML Cite \textit{M. Dickmann} and \textit{A. Petrovich}, Diss. Math. 556, 1--79 (2020; Zbl 07328587) Full Text: DOI
Ntienjem, Ebénézer Evaluation of convolution sums entailing mixed divisor functions for a class of levels. (English) Zbl 07328079 N. Z. J. Math. 50, 125-180 (2020). MSC: 11A25 11F11 11F20 11E20 11E25 11F27 PDF BibTeX XML Cite \textit{E. Ntienjem}, N. Z. J. Math. 50, 125--180 (2020; Zbl 07328079) Full Text: Link
First, Uriya A. Pfister’S local-global principle and systems of quadratic forms. (English) Zbl 07326672 Bull. Lond. Math. Soc. 52, No. 6, 1105-1121 (2020). MSC: 11E04 11E81 PDF BibTeX XML Cite \textit{U. A. First}, Bull. Lond. Math. Soc. 52, No. 6, 1105--1121 (2020; Zbl 07326672) Full Text: DOI
Sikirić, Mathieu Dutour; Haensch, Anna; Voight, John; van Woerden, Wessel P. J. A canonical form for positive definite matrices. (English) Zbl 07319967 Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP) (ISBN 978-1-935107-07-1/print; 978-1-935107-08-8/ebook). The Open Book Series 4, 179-195 (2020). MSC: 11H55 11H56 15A21 PDF BibTeX XML Cite \textit{M. D. Sikirić} et al., Open Book Ser. 4, 179--195 (2020; Zbl 07319967) Full Text: DOI
Sun, Zhi-Hong Representations by linear combinations of triangular numbers. (English) Zbl 07316796 J. Ramanujan Math. Soc. 35, No. 4, 373-389 (2020). MSC: 11D85 11E25 30B10 33E20 PDF BibTeX XML Cite \textit{Z.-H. Sun}, J. Ramanujan Math. Soc. 35, No. 4, 373--389 (2020; Zbl 07316796) Full Text: Link
Koda, Genki Representation of the norm of ideals by quadratic forms with congruence conditions. (English) Zbl 07311578 SUT J. Math. 56, No. 1, 21-37 (2020). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11R37 11R65 PDF BibTeX XML Cite \textit{G. Koda}, SUT J. Math. 56, No. 1, 21--37 (2020; Zbl 07311578) Full Text: Link
Singh, Anup Kumar; Ye, Dongxi Ramanujan-Mordell type formulas associated to certain quadratic forms of discriminant \(20^k\) or \(32^k\). (English) Zbl 07301248 Indian J. Pure Appl. Math. 51, No. 3, 1083-1096 (2020). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11F03 11F20 11F11 11E20 PDF BibTeX XML Cite \textit{A. K. Singh} and \textit{D. Ye}, Indian J. Pure Appl. Math. 51, No. 3, 1083--1096 (2020; Zbl 07301248) Full Text: DOI
Earp-Lynch, B.; Earp-Lynch, S.; Kihel, O. On certain \(D(9)\) and \(D(64)\) Diophantine triples. (English) Zbl 07301196 Acta Math. Hung. 162, No. 2, 483-517 (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11D09 11D45 11B37 11J86 PDF BibTeX XML Cite \textit{B. Earp-Lynch} et al., Acta Math. Hung. 162, No. 2, 483--517 (2020; Zbl 07301196) Full Text: DOI
Lv, Chang Diophantine equations defined by binary quadratic forms over rational function fields. (English) Zbl 07301074 Acta Arith. 196, No. 1, 35-51 (2020). MSC: 11E12 11D57 11R58 14L30 11R37 PDF BibTeX XML Cite \textit{C. Lv}, Acta Arith. 196, No. 1, 35--51 (2020; Zbl 07301074) Full Text: DOI
Izhakian, Zur; Knebusch, Manfred Quasilinear convexity and quasilinear stars in the ray space of a supertropical quadratic form. (English) Zbl 07298423 Linear Multilinear Algebra 68, No. 12, 2347-2389 (2020). MSC: 14T05 20M18 51M20 16Y60 PDF BibTeX XML Cite \textit{Z. Izhakian} and \textit{M. Knebusch}, Linear Multilinear Algebra 68, No. 12, 2347--2389 (2020; Zbl 07298423) Full Text: DOI
Muić, Goran A remark on a trace Paley-Wiener theorem. (English) Zbl 07291158 Pac. J. Math. 308, No. 2, 407-418 (2020). MSC: 22E50 11E70 PDF BibTeX XML Cite \textit{G. Muić}, Pac. J. Math. 308, No. 2, 407--418 (2020; Zbl 07291158) Full Text: DOI
Czogała, Alfred; Koprowski, Przemysław; Rothkegel, Beata Wild sets in global function fields. (English) Zbl 07289639 Math. Slovaca 70, No. 2, 259-272 (2020). MSC: 11E12 PDF BibTeX XML Cite \textit{A. Czogała} et al., Math. Slovaca 70, No. 2, 259--272 (2020; Zbl 07289639) Full Text: DOI
Strömbergsson, Andreas; Vishe, Pankaj An effective equidistribution result for \(\operatorname{SL} ( 2 , \mathbb{R} ) \ltimes ( \mathbb{R}^2 )^{\oplus K}\) and application to inhomogeneous quadratic forms. (English) Zbl 07288954 J. Lond. Math. Soc., II. Ser. 102, No. 1, 143-204 (2020). Reviewer: Thomas B. Ward (Leeds) MSC: 37A17 37A44 37D40 11E20 11K60 11E45 11F72 PDF BibTeX XML Cite \textit{A. Strömbergsson} and \textit{P. Vishe}, J. Lond. Math. Soc., II. Ser. 102, No. 1, 143--204 (2020; Zbl 07288954) Full Text: DOI
Bayer-Fluckiger, Eva; Taelman, Lenny Automorphisms of even unimodular lattices and equivariant Witt groups. (English) Zbl 07286837 J. Eur. Math. Soc. (JEMS) 22, No. 11, 3467-3490 (2020). Reviewer: Adam Chapman (Tel Hai) MSC: 11H56 11E81 PDF BibTeX XML Cite \textit{E. Bayer-Fluckiger} and \textit{L. Taelman}, J. Eur. Math. Soc. (JEMS) 22, No. 11, 3467--3490 (2020; Zbl 07286837) Full Text: DOI
Rúa, Ignacio F. Nonbinary Delsarte-Goethals codes and finite semifields. (English) Zbl 07286372 Glasg. Math. J. 62, No. S1, S186-S205 (2020). MSC: 11T71 11E08 17D99 PDF BibTeX XML Cite \textit{I. F. Rúa}, Glasg. Math. J. 62, No. S1, S186--S205 (2020; Zbl 07286372) Full Text: DOI
Sengodan, Gokulraj; Arumugasamy, Chandrashekaran Linear complementarity problems and bi-linear games. (English) Zbl 07285951 Appl. Math., Praha 65, No. 5, 665-675 (2020). MSC: 91A05 90C33 15A63 PDF BibTeX XML Cite \textit{G. Sengodan} and \textit{C. Arumugasamy}, Appl. Math., Praha 65, No. 5, 665--675 (2020; Zbl 07285951) Full Text: DOI
Earnest, A. G.; Kim, Ji Young Integral quadratic forms avoiding arithmetic progressions. (English) Zbl 07285854 Int. J. Number Theory 16, No. 10, 2141-2148 (2020). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11B25 11E12 11E20 PDF BibTeX XML Cite \textit{A. G. Earnest} and \textit{J. Y. Kim}, Int. J. Number Theory 16, No. 10, 2141--2148 (2020; Zbl 07285854) Full Text: DOI
Nokhodkar, A.-H. Applications of systems of quadratic forms to generalised quadratic forms. (English) Zbl 07282364 Bull. Aust. Math. Soc. 102, No. 3, 374-386 (2020). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E04 11E39 12F10 PDF BibTeX XML Cite \textit{A. H. Nokhodkar}, Bull. Aust. Math. Soc. 102, No. 3, 374--386 (2020; Zbl 07282364) Full Text: DOI
Voronetsky, E. Groups normalized by the odd unitary group. (English. Russian original) Zbl 07281986 St. Petersbg. Math. J. 31, No. 6, 939-967 (2020); translation from Algebra Anal. 31, No. 6, 38-78 (2019). MSC: 20 19G38 PDF BibTeX XML Cite \textit{E. Voronetsky}, St. Petersbg. Math. J. 31, No. 6, 939--967 (2020; Zbl 07281986); translation from Algebra Anal. 31, No. 6, 38--78 (2019) Full Text: DOI
Dunn, Alexander; Kerr, Bryce; Shparlinski, Igor E.; Zaharescu, Alexandru Bilinear forms in Weyl sums for modular square roots and applications. (English) Zbl 07281396 Adv. Math. 375, Article ID 107369, 58 p. (2020). MSC: 11A15 11E25 11K38 11L07 11L20 11N32 PDF BibTeX XML Cite \textit{A. Dunn} et al., Adv. Math. 375, Article ID 107369, 58 p. (2020; Zbl 07281396) Full Text: DOI
Nelson, Paul D. Bounds for twisted symmetric square \(L\)-functions via half-integral weight periods. (English) Zbl 07276280 Forum Math. Sigma 8, Paper No. e44, 21 p. (2020). MSC: 11F67 11F27 11F37 58J51 PDF BibTeX XML Cite \textit{P. D. Nelson}, Forum Math. Sigma 8, Paper No. e44, 21 p. (2020; Zbl 07276280) Full Text: DOI
Sprehn, David; Wahl, Nathalie Forms over fields and Witt’s lemma. (English) Zbl 1448.11076 Math. Scand. 126, No. 3, 401-423 (2020). MSC: 11E04 15A63 PDF BibTeX XML Cite \textit{D. Sprehn} and \textit{N. Wahl}, Math. Scand. 126, No. 3, 401--423 (2020; Zbl 1448.11076) Full Text: DOI
Gamarnik, David Explicit construction of RIP matrices is Ramsey-hard. (English) Zbl 07274495 Commun. Pure Appl. Math. 73, No. 9, 2043-2048 (2020). MSC: 60B20 05C55 15A63 PDF BibTeX XML Cite \textit{D. Gamarnik}, Commun. Pure Appl. Math. 73, No. 9, 2043--2048 (2020; Zbl 07274495) Full Text: DOI
García-Delgado, R.; Salgado, G.; Sánchez-Valenzuela, O. A. Invariant metrics on central extensions of quadratic Lie algebras. (English) Zbl 07272779 J. Algebra Appl. 19, No. 12, Article ID 2050224, 28 p. (2020). MSC: 17B05 17B60 15A63 17B30 PDF BibTeX XML Cite \textit{R. García-Delgado} et al., J. Algebra Appl. 19, No. 12, Article ID 2050224, 28 p. (2020; Zbl 07272779) Full Text: DOI
Bugeaud, Yann Effective simultaneous rational approximation to pairs of real quadratic numbers. (English) Zbl 1455.11095 Mosc. J. Comb. Number Theory 9, No. 4, 353-360 (2020). Reviewer: István Gaál (Debrecen) MSC: 11J13 11D09 11J86 PDF BibTeX XML Cite \textit{Y. Bugeaud}, Mosc. J. Comb. Number Theory 9, No. 4, 353--360 (2020; Zbl 1455.11095) Full Text: DOI
Chenevier, Gaëtan The characteristic masses of Niemeier lattices. (English. French summary) Zbl 07272152 J. Théor. Nombres Bordx. 32, No. 2, 545-583 (2020). MSC: 11F 11F55 11H55 11H56 11H71 20D08 22C05 PDF BibTeX XML Cite \textit{G. Chenevier}, J. Théor. Nombres Bordx. 32, No. 2, 545--583 (2020; Zbl 07272152) Full Text: DOI
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
Kylling, Jonas Irgens; Röndigs, Oliver; Østvær, Paul Arne Hermitian \(K\)-theory, Dedekind \(\zeta \)-functions, and quadratic forms over rings of integers in number fields. (English) Zbl 07270297 Camb. J. Math. 8, No. 3, 505-607 (2020). MSC: 11R70 11R42 14F42 19E15 19F27 PDF BibTeX XML Cite \textit{J. I. Kylling} et al., Camb. J. Math. 8, No. 3, 505--607 (2020; Zbl 07270297) Full Text: DOI
Parrilo, Pablo A. (ed.); Thomas, Rekha R. (ed.) Sum of squares: theory and applications. AMS short course, Baltimore, MD, USA, January 14–15, 2019. (English) Zbl 1451.11010 Proceedings of Symposia in Applied Mathematics 77. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5025-0/pbk; 978-1-4704-6040-2/ebook). vii, 142 p. (2020). MSC: 11-06 11E25 14P05 68Q15 00B25 PDF BibTeX XML Cite \textit{P. A. Parrilo} (ed.) and \textit{R. R. Thomas} (ed.), Sum of squares: theory and applications. AMS short course, Baltimore, MD, USA, January 14--15, 2019. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1451.11010)
Gath, Yoav A. The solution of the sphere problem for the Heisenberg group. (English) Zbl 07268670 J. Ramanujan Math. Soc. 35, No. 2, 149-157 (2020). MSC: 11P21 11E25 11H16 PDF BibTeX XML Cite \textit{Y. A. Gath}, J. Ramanujan Math. Soc. 35, No. 2, 149--157 (2020; Zbl 07268670) Full Text: Link
Dou, Xiaoxia A class of Diophantine equation. (Chinese. English summary) Zbl 07266361 Acta Sci. Nat. Univ. Sunyatseni 59, No. 2, 15-21 (2020). MSC: 11D09 PDF BibTeX XML Cite \textit{X. Dou}, Acta Sci. Nat. Univ. Sunyatseni 59, No. 2, 15--21 (2020; Zbl 07266361) Full Text: DOI
Cho, Sungmun On the local density formula and the Gross-Keating invariant with an appendix ‘The local density of a binary quadratic form’ by T. Ikeda and H. Katsurada. (English) Zbl 07263158 Math. Z. 296, No. 3-4, 1235-1269 (2020). Reviewer: Kevin Keating (Gainesville) MSC: 11E08 11E95 20G25 PDF BibTeX XML Cite \textit{S. Cho}, Math. Z. 296, No. 3--4, 1235--1269 (2020; Zbl 07263158) Full Text: DOI
Nokhodkar, A.-H. Erratum to: “Quadratic descent of Hermitian forms”. (English) Zbl 07261821 Math. Nachr. 293, No. 9, 1836-1838 (2020). MSC: 11E04 11E39 PDF BibTeX XML Cite \textit{A. H. Nokhodkar}, Math. Nachr. 293, No. 9, 1836--1838 (2020; Zbl 07261821) Full Text: DOI
Helmstetter, Jacques Kanzaki’s generalized quadratic spaces and graded Salingaros groups. (English) Zbl 07261285 Adv. Appl. Clifford Algebr. 30, No. 4, Paper No. 60, 38 p. (2020). MSC: 15A63 11E88 15A66 PDF BibTeX XML Cite \textit{J. Helmstetter}, Adv. Appl. Clifford Algebr. 30, No. 4, Paper No. 60, 38 p. (2020; Zbl 07261285) Full Text: DOI
Krásenský, Jakub; Tinková, Magdaléna; Zemková, Kristýna There are no universal ternary quadratic forms over biquadratic fields. (English) Zbl 07261169 Proc. Edinb. Math. Soc., II. Ser. 63, No. 3, 861-912 (2020). Reviewer: Meinhard Peters (Münster) MSC: 11E20 11E12 11R04 11R80 PDF BibTeX XML Cite \textit{J. Krásenský} et al., Proc. Edinb. Math. Soc., II. Ser. 63, No. 3, 861--912 (2020; Zbl 07261169) Full Text: DOI
Carravetta, Francesco On the solution calculation of nonlinear ordinary differential equations via exact quadratization. (English) Zbl 07260138 J. Differ. Equations 269, No. 12, 11328-11365 (2020). MSC: 34A09 34C20 34A25 PDF BibTeX XML Cite \textit{F. Carravetta}, J. Differ. Equations 269, No. 12, 11328--11365 (2020; Zbl 07260138) Full Text: DOI
Marchand, Éric; Strawderman, William E. On the non-stochastic ordering of some quadratic forms. (English) Zbl 1453.60059 Stat. Probab. Lett. 163, Article ID 108799, 6 p. (2020). MSC: 60E15 62H10 PDF BibTeX XML Cite \textit{É. Marchand} and \textit{W. E. Strawderman}, Stat. Probab. Lett. 163, Article ID 108799, 6 p. (2020; Zbl 1453.60059) Full Text: DOI
Kala, Vítězslav; Yatsyna, Pavlo Sums of squares in \(S\)-integers. (English) Zbl 07258102 New York J. Math. 26, 1145-1154 (2020). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E25 11E12 11R11 PDF BibTeX XML Cite \textit{V. Kala} and \textit{P. Yatsyna}, New York J. Math. 26, 1145--1154 (2020; Zbl 07258102) Full Text: Link
He, Zilong Inequalities for inert primes and their applications. (English) Zbl 07257251 Int. J. Number Theory 16, No. 8, 1819-1832 (2020). MSC: 11A41 11E12 11E20 PDF BibTeX XML Cite \textit{Z. He}, Int. J. Number Theory 16, No. 8, 1819--1832 (2020; Zbl 07257251) Full Text: DOI
Gładki, Paweł; Worytkiewicz, Krzysztof Witt rings of quadratically presentable fields. (English) Zbl 1453.11053 Categ. Gen. Algebr. Struct. Appl. 12, No. 1, 1-23 (2020). Reviewer: Adam Chapman (Tel Hai) MSC: 11E81 11E25 06F25 12J15 12D15 PDF BibTeX XML Cite \textit{P. Gładki} and \textit{K. Worytkiewicz}, Categ. Gen. Algebr. Struct. Appl. 12, No. 1, 1--23 (2020; Zbl 1453.11053) Full Text: Link
Sun, Zhi-Hong Congruences involving binomial coefficients and Apéry-like numbers. (English) Zbl 07254825 Publ. Math. 96, No. 3-4, 315-346 (2020). MSC: 11A07 11A15 11B50 11B65 11B68 11E25 11F11 33C45 65Q30 PDF BibTeX XML Cite \textit{Z.-H. Sun}, Publ. Math. 96, No. 3--4, 315--346 (2020; Zbl 07254825) 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
Kumaraswamy, V. Vinay Counting integer points on quadrics with arithmetic weights. (English) Zbl 07254269 Trans. Am. Math. Soc. 373, No. 10, 6929-6959 (2020). MSC: 11F30 11P55 11E20 PDF BibTeX XML Cite \textit{V. V. Kumaraswamy}, Trans. Am. Math. Soc. 373, No. 10, 6929--6959 (2020; Zbl 07254269) Full Text: DOI
Smirnov, A. L. Eisenstein’s program and modular forms. (English. Russian original) Zbl 1451.11032 J. Math. Sci., New York 249, No. 1, 104-111 (2020); translation from Zap. Nauchn. Semin. POMI 479, 160-170 (2019). MSC: 11F27 11F11 11P21 11E41 PDF BibTeX XML Cite \textit{A. L. Smirnov}, J. Math. Sci., New York 249, No. 1, 104--111 (2020; Zbl 1451.11032); translation from Zap. Nauchn. Semin. POMI 479, 160--170 (2019) Full Text: DOI
Smirnov, A. L. Witt vectors and the field with one element. (English. Russian original) Zbl 1451.11028 J. Math. Sci., New York 249, No. 1, 95-103 (2020); translation from Zap. Nauchn. Semin. POMI 479, 146-159 (2019). MSC: 11E81 13F25 11G99 11M55 PDF BibTeX XML Cite \textit{A. L. Smirnov}, J. Math. Sci., New York 249, No. 1, 95--103 (2020; Zbl 1451.11028); translation from Zap. Nauchn. Semin. POMI 479, 146--159 (2019) Full Text: DOI
Sivatski, A. S. Certain properties of the tensor product of two Albert forms. (English) Zbl 1444.19005 Commun. Algebra 48, No. 10, 4403-4412 (2020). MSC: 19D55 11E04 PDF BibTeX XML Cite \textit{A. S. Sivatski}, Commun. Algebra 48, No. 10, 4403--4412 (2020; Zbl 1444.19005) Full Text: DOI
Sun, Zhi-Wei New series for powers of \(\pi\) and related congruences. (English) Zbl 07249992 Electron Res. Arch. 28, No. 3, 1273-1342 (2020). MSC: 11A07 11B65 05A19 11E25 33F10 PDF BibTeX XML Cite \textit{Z.-W. Sun}, Electron Res. Arch. 28, No. 3, 1273--1342 (2020; Zbl 07249992) Full Text: DOI
Krachun, Dmitry; Sun, Zhi-Wei On sums of four pentagonal numbers with coefficients. (English) Zbl 07249485 Electron Res. Arch. 28, No. 1, 559-566 (2020). MSC: 11B13 11E25 11D85 11E20 11P70 PDF BibTeX XML Cite \textit{D. Krachun} and \textit{Z.-W. Sun}, Electron Res. Arch. 28, No. 1, 559--566 (2020; Zbl 07249485) Full Text: DOI
Andersen, Nickolas; Duke, William D. Modular invariants for real quadratic fields and Kloosterman sums. (English) Zbl 07248666 Algebra Number Theory 14, No. 6, 1537-1575 (2020). MSC: 11F37 11L05 PDF BibTeX XML Cite \textit{N. Andersen} and \textit{W. D. Duke}, Algebra Number Theory 14, No. 6, 1537--1575 (2020; Zbl 07248666) Full Text: DOI
Sun, Yangjian Abelian integrals from an unfolding of codimension-3 singularities with nilpotent linear part. (English) Zbl 1452.34044 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 10, Article ID 2050143, 9 p. (2020). MSC: 34C08 34C07 34C05 34C20 34C14 PDF BibTeX XML Cite \textit{Y. Sun}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 10, Article ID 2050143, 9 p. (2020; Zbl 1452.34044) Full Text: DOI
Ardizzoni, Alessandro; Stumbo, Fabio On indecomposable ideals over some algebras. (English) Zbl 07246645 Algebr. Represent. Theory 23, No. 4, 1443-1466 (2020). MSC: 16T05 15A63 94B15 94B05 PDF BibTeX XML Cite \textit{A. Ardizzoni} and \textit{F. Stumbo}, Algebr. Represent. Theory 23, No. 4, 1443--1466 (2020; Zbl 07246645) Full Text: DOI
Bernstein, Tobias; Ma, Jia-Jun; Nevins, Monica; Yap, Jit Wu Nilpotent orbits of orthogonal groups over \(p\)-adic fields, and the DeBacker parametrization. (English) Zbl 07246217 Algebr. Represent. Theory 23, No. 5, 2033-2058 (2020). MSC: 20G25 17B08 17B45 20E42 PDF BibTeX XML Cite \textit{T. Bernstein} et al., Algebr. Represent. Theory 23, No. 5, 2033--2058 (2020; Zbl 07246217) Full Text: DOI
Nguyen, Nicolas P. A generalization of Desargues’ involution theorem. (English) Zbl 1451.51009 J. Geom. Graph. 24, No. 1, 65-72 (2020). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 51N15 15A63 51A05 PDF BibTeX XML Cite \textit{N. P. Nguyen}, J. Geom. Graph. 24, No. 1, 65--72 (2020; Zbl 1451.51009) Full Text: Link
Mundici, Daniele Complete and computable orbit invariants in the geometry of the affine group over the integers. (English) Zbl 1442.13016 Ann. Mat. Pura Appl. (4) 199, No. 5, 1843-1871 (2020). Reviewer: Nan Ji-Zhu (Dalian) MSC: 13A50 11D09 11E16 11H55 14G05 14H50 14L24 14M25 14R20 20H25 PDF BibTeX XML Cite \textit{D. Mundici}, Ann. Mat. Pura Appl. (4) 199, No. 5, 1843--1871 (2020; Zbl 1442.13016) Full Text: DOI
Harutyunyan, Davit A note on the extreme points of the cone of quasiconvex quadratic forms with orthotropic symmetry. (English) Zbl 1440.74104 J. Elasticity 140, No. 1, 79-93 (2020). MSC: 74E30 15A69 49J45 15A63 12D15 12E10 74B05 74B20 PDF BibTeX XML Cite \textit{D. Harutyunyan}, J. Elasticity 140, No. 1, 79--93 (2020; Zbl 1440.74104) Full Text: DOI
Sardari, Naser T.; Zargar, Masoud Ramanujan graphs and exponential sums over function fields. (English) Zbl 1453.11165 J. Number Theory 217, 44-77 (2020). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 11T23 05C35 11R58 PDF BibTeX XML Cite \textit{N. T. Sardari} and \textit{M. Zargar}, J. Number Theory 217, 44--77 (2020; Zbl 1453.11165) Full Text: DOI
Cicalò, Serena; de Graaf, Willem A.; Schneider, Csaba Corrigendum to “Six-dimensional nilpotent Lie algebras”. (English) Zbl 1442.17011 Linear Algebra Appl. 604, 507-508 (2020). MSC: 17B30 17B40 17B56 11E04 PDF BibTeX XML Cite \textit{S. Cicalò} et al., Linear Algebra Appl. 604, 507--508 (2020; Zbl 1442.17011) Full Text: DOI
Grubišić, Luka; Kostrykin, Vadim; Makarov, Konstantin A.; Schmitz, Stephan; Veselić, Krešimir Diagonalization of indefinite saddle point forms. (English) Zbl 1446.47002 Kurasov, Pavel (ed.) et al., Analysis as a tool in mathematical physics. In memory of Boris Pavlov. Collected papers presented at the conferences “Spectral Theory and Applications”, Stockholm, Sweden, March 13–15, 2016 and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016”, Euler International Mathematical Institute, St. Petersburg, Russia, August 2–7, 2016. Cham: Springer. Oper. Theory: Adv. Appl. 276, 373-400 (2020). MSC: 47A07 47A55 47A62 47F05 35M10 PDF BibTeX XML Cite \textit{L. Grubišić} et al., Oper. Theory: Adv. Appl. 276, 373--400 (2020; Zbl 1446.47002) Full Text: DOI
Fichou, Goulwen; Monnier, Jean-Philippe; Quarez, Ronan Substitution property for the ring of continuous rational functions. (English) Zbl 1441.14190 Ishikawa, Masaharu (ed.) et al., Singularities – Kagoshima 2017. Proceedings of the 5th Franco-Japanese-Vietnamese symposium on singularities, Kagoshima, Japan, October 27 – November 3, 2017. Hackensack, NJ: World Scientific. 71-93 (2020). MSC: 14P05 14P20 11E25 26C15 PDF BibTeX XML Cite \textit{G. Fichou} et al., in: Singularities -- Kagoshima 2017. Proceedings of the 5th Franco-Japanese-Vietnamese symposium on singularities, Kagoshima, Japan, October 27 -- November 3, 2017. Hackensack, NJ: World Scientific. 71--93 (2020; Zbl 1441.14190) Full Text: DOI
Kreuzer, Martin; Rosenberger, Gerhard On the numbers of the form \(x^2 + 11y^2\). (English) Zbl 07237952 Baginski, Paul (ed.) et al., Elementary theory of groups and group rings, and related topics. Proceedings of the conference held at Fairfield University and at the Graduate Center, CUNY, New York, NY, USA, November 1–2, 2018. Berlin: De Gruyter (ISBN 978-3-11-063673-4/hbk; 978-3-11-063838-7/ebook). De Gruyter Proceedings in Mathematics, 177-202 (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 11E25 11F06 20F05 20F65 PDF BibTeX XML Cite \textit{M. Kreuzer} and \textit{G. Rosenberger}, in: Elementary theory of groups and group rings, and related topics. Proceedings of the conference held at Fairfield University and at the Graduate Center, CUNY, New York, NY, USA, November 1--2, 2018. Berlin: De Gruyter. 177--202 (2020; Zbl 07237952) Full Text: DOI
Calle, Maxine; Dunn, Corey Sharp sectional curvature bounds and a new proof of the spectral theorem. (English) Zbl 1446.15012 Involve 13, No. 3, 445-454 (2020). MSC: 15A69 15A63 53C21 PDF BibTeX XML Cite \textit{M. Calle} and \textit{C. Dunn}, Involve 13, No. 3, 445--454 (2020; Zbl 1446.15012) Full Text: DOI
Gille, Stefan A Hermitian analog of a quadratic form theorem of Springer. (English) Zbl 1452.11039 Manuscr. Math. 163, No. 1-2, 125-163 (2020). Reviewer: Adam Chapman (Tel Hai) MSC: 11E70 11E81 PDF BibTeX XML Cite \textit{S. Gille}, Manuscr. Math. 163, No. 1--2, 125--163 (2020; Zbl 1452.11039) Full Text: DOI
Abe, Ryuji; Aitchison, Iain R. Symmetry of topographs of Markoff forms. (English) Zbl 07232841 Int. J. Number Theory 16, No. 7, 1573-1598 (2020). Reviewer: Alar Leibak (Tallinn) MSC: 11H55 11H50 05C10 05C50 PDF BibTeX XML Cite \textit{R. Abe} and \textit{I. R. Aitchison}, Int. J. Number Theory 16, No. 7, 1573--1598 (2020; Zbl 07232841) Full Text: DOI
Oishi-Tomiyasu, Ryoko Positive-definite ternary quadratic forms with the same representations over \(\mathbb Z\). (English) Zbl 1452.11036 Int. J. Number Theory 16, No. 7, 1493-1534 (2020). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11E20 11H55 PDF BibTeX XML Cite \textit{R. Oishi-Tomiyasu}, Int. J. Number Theory 16, No. 7, 1493--1534 (2020; Zbl 1452.11036) Full Text: DOI
Arimoto, Koichi On LLL lattice basis reduction over imaginary quadratic fields by introducing reduction parameters. (English) Zbl 1441.11069 Int. J. Math. Comput. Sci. 15, No. 2, 611-619 (2020). MSC: 11E04 11R04 11Y40 PDF BibTeX XML Cite \textit{K. Arimoto}, Int. J. Math. Comput. Sci. 15, No. 2, 611--619 (2020; Zbl 1441.11069) Full Text: Link
Sam, Northshield A short proof of Fermat’s two-square theorem. (English) Zbl 1451.11025 Am. Math. Mon. 127, No. 7, 638 (2020). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E25 11E41 PDF BibTeX XML Cite \textit{N. Sam}, Am. Math. Mon. 127, No. 7, 638 (2020; Zbl 1451.11025) Full Text: DOI