Watson, Lori D. Hasse principle violations in twist families of superelliptic curves. (English) Zbl 07739855 Int. J. Number Theory 19, No. 9, 2051-2060 (2023). MSC: 11D41 11G30 PDF BibTeX XML Cite \textit{L. D. Watson}, Int. J. Number Theory 19, No. 9, 2051--2060 (2023; Zbl 07739855) Full Text: DOI arXiv
Creutz, Brendan; Viray, Bianca Quadratic points on intersections of two quadrics. (English) Zbl 07734827 Algebra Number Theory 17, No. 8, 1411-1452 (2023). MSC: 11D09 14G05 14G12 PDF BibTeX XML Cite \textit{B. Creutz} and \textit{B. Viray}, Algebra Number Theory 17, No. 8, 1411--1452 (2023; Zbl 07734827) Full Text: DOI arXiv
Zhang, Haowen Weak approximation for homogeneous spaces over some two-dimensional geometric global fields. (English) Zbl 07731256 Bull. Lond. Math. Soc. 55, No. 1, 308-320 (2023). MSC: 11E72 14M17 14G27 14G12 PDF BibTeX XML Cite \textit{H. Zhang}, Bull. Lond. Math. Soc. 55, No. 1, 308--320 (2023; Zbl 07731256) Full Text: DOI arXiv
Hu, Guang; Liang, Yongqi Arithmetic of Châtelet surface bundles revisited. (English) Zbl 07715911 Forum Math. 35, No. 4, 883-900 (2023). MSC: 14G12 11G35 14G05 14J20 PDF BibTeX XML Cite \textit{G. Hu} and \textit{Y. Liang}, Forum Math. 35, No. 4, 883--900 (2023; Zbl 07715911) Full Text: DOI arXiv
Guhan, Jayanth Local-global principle for projective homogeneous spaces of unitary groups. (English) Zbl 1516.11047 J. Algebra 630, 175-197 (2023). MSC: 11E72 16K20 11E04 14H05 11E39 PDF BibTeX XML Cite \textit{J. Guhan}, J. Algebra 630, 175--197 (2023; Zbl 1516.11047) Full Text: DOI
Wu, Han Non-invariance of the Hasse principle with Brauer-Manin obstruction. (English) Zbl 07694750 Manuscr. Math. 171, No. 3-4, 457-471 (2023). Reviewer: David McKinnon (Waterloo) MSC: 11G35 14G12 14G25 14G05 PDF BibTeX XML Cite \textit{H. Wu}, Manuscr. Math. 171, No. 3--4, 457--471 (2023; Zbl 07694750) Full Text: DOI
Balestrieri, Francesca; Rome, Nick Average Bateman-Horn for Kummer polynomials. (English) Zbl 07690062 Acta Arith. 207, No. 4, 315-350 (2023). MSC: 14G05 11N37 11N32 11N36 11P55 PDF BibTeX XML Cite \textit{F. Balestrieri} and \textit{N. Rome}, Acta Arith. 207, No. 4, 315--350 (2023; Zbl 07690062) Full Text: DOI arXiv
Lyczak, Julian Order \(5\) Brauer-Manin obstructions to the integral Hasse principle on log K3 surfaces. (Obstruction de Brauer-Manin d’ordre 5 au principe de Hasse entier sur des surfaces log K3.) (English. French summary) Zbl 07688660 Ann. Inst. Fourier 73, No. 2, 447-478 (2023). MSC: 14G12 14J26 14F22 11G35 PDF BibTeX XML Cite \textit{J. Lyczak}, Ann. Inst. Fourier 73, No. 2, 447--478 (2023; Zbl 07688660) Full Text: DOI arXiv
Liang, Yongqi Compatibility of weak approximation for zero-cycles on products of varieties. (English) Zbl 07685332 Sci. China, Math. 66, No. 4, 665-678 (2023). MSC: 14G12 11G35 14C25 PDF BibTeX XML Cite \textit{Y. Liang}, Sci. China, Math. 66, No. 4, 665--678 (2023; Zbl 07685332) Full Text: DOI arXiv
Cassady, Connor Hasse principles for quadratic forms over function fields. (English) Zbl 07681091 J. Algebra 628, 613-633 (2023). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11E04 11E72 11E81 12F20 12G05 12J10 13J10 14G12 PDF BibTeX XML Cite \textit{C. Cassady}, J. Algebra 628, 613--633 (2023; Zbl 07681091) Full Text: DOI arXiv
Santens, Tim Diagonal quartic surfaces with a Brauer-Manin obstruction. (English) Zbl 07673322 Compos. Math. 159, No. 4, 659-710 (2023). Reviewer: Efthymios Sofos (Glasgow) MSC: 14G12 11D25 11N37 PDF BibTeX XML Cite \textit{T. Santens}, Compos. Math. 159, No. 4, 659--710 (2023; Zbl 07673322) Full Text: DOI arXiv
Platonov, Vladimir; Rapinchuk, Andrei; Rapinchuk, Igor Algebraic groups and number theory. Volume 1. 2nd revised edition of the book originally published in one volume. (English) Zbl 07671765 Cambridge Studies in Advanced Mathematics 205. Cambridge: Cambridge University Press (ISBN 978-0-521-11361-8/hbk; 978-1-139-01775-6/ebook). xvi, 362 p. (2023). MSC: 20G30 20-02 11-02 11E72 11Rxx PDF BibTeX XML Cite \textit{V. Platonov} et al., Algebraic groups and number theory. Volume 1. 2nd revised edition of the book originally published in one volume. Cambridge: Cambridge University Press (2023; Zbl 07671765) Full Text: DOI
Lazar, Youssef On the density of \(S\)-adic integers near some projective \(G\)-varieties. (English) Zbl 07669208 Ann. Fenn. Math. 48, No. 1, 187-204 (2023). MSC: 11J25 11J61 20G35 14L30 14G12 PDF BibTeX XML Cite \textit{Y. Lazar}, Ann. Fenn. Math. 48, No. 1, 187--204 (2023; Zbl 07669208) Full Text: DOI arXiv
Browning, Tim; Le Boudec, Pierre; Sawin, Will The Hasse principle for random Fano hypersurfaces. (English) Zbl 07668528 Ann. Math. (2) 197, No. 3, 1115-1203 (2023). MSC: 11D45 11G50 11P21 14G05 PDF BibTeX XML Cite \textit{T. Browning} et al., Ann. Math. (2) 197, No. 3, 1115--1203 (2023; Zbl 07668528) Full Text: DOI arXiv
Cao, Yang Corrigendum to: “Invariant Brauer subgroup and iterated descent obstruction”. (Correction à l’article “Sous-groupe de Brauer invariant et obstruction de descente itérée”.) (French. English summary) Zbl 07656411 Algebra Number Theory 17, No. 1, 261-266 (2023). MSC: 11G35 14G05 20G35 PDF BibTeX XML Cite \textit{Y. Cao}, Algebra Number Theory 17, No. 1, 261--266 (2023; Zbl 07656411) Full Text: DOI
Sivatski, Alexander S. Nonstandard quadratic forms over rational function fields. (English) Zbl 1514.11026 J. Pure Appl. Algebra 227, No. 5, Article ID 107310, 17 p. (2023). Reviewer: Adam Chapman (Tel Hai) MSC: 11E04 11E81 PDF BibTeX XML Cite \textit{A. S. Sivatski}, J. Pure Appl. Algebra 227, No. 5, Article ID 107310, 17 p. (2023; Zbl 1514.11026) Full Text: DOI
Ieronymou, Evis Applications of the fibration method to the Brauer-Manin obstruction to the existence of zero-cycles on certain varieties. (English) Zbl 1516.11069 Int. J. Number Theory 19, No. 2, 409-417 (2023). MSC: 11G35 11G25 14G12 14F22 14G05 14C25 PDF BibTeX XML Cite \textit{E. Ieronymou}, Int. J. Number Theory 19, No. 2, 409--417 (2023; Zbl 1516.11069) Full Text: DOI arXiv
Sardari, Naser Talebizadeh; Zargar, Masoud Optimal strong approximation for quadrics over \(\mathbb{F}_q [t]\). (English) Zbl 1517.11069 Adv. Math. 413, Article ID 108852, 62 p. (2023). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11G35 11E12 11P55 11R58 14G12 05C12 PDF BibTeX XML Cite \textit{N. T. Sardari} and \textit{M. Zargar}, Adv. Math. 413, Article ID 108852, 62 p. (2023; Zbl 1517.11069) Full Text: DOI arXiv
Hoshi, Akinari; Kanai, Kazuki; Yamasaki, Aiichi Norm one tori and Hasse norm principle. II: Degree 12 case. (English) Zbl 1515.11029 J. Number Theory 244, 84-110 (2023). Reviewer: Manouchehr Misaghian (Prairie View) MSC: 11E72 12F20 13A50 14E08 20C10 20G15 PDF BibTeX XML Cite \textit{A. Hoshi} et al., J. Number Theory 244, 84--110 (2023; Zbl 1515.11029) Full Text: DOI arXiv
Balestrieri, Francesca Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups. (English) Zbl 1504.14046 Proc. Am. Math. Soc. 151, No. 3, 907-914 (2023). MSC: 14G12 11G35 14M17 20G10 PDF BibTeX XML Cite \textit{F. Balestrieri}, Proc. Am. Math. Soc. 151, No. 3, 907--914 (2023; Zbl 1504.14046) Full Text: DOI
Wu, Han On genus one curves violating the local-global principle. (English) Zbl 1496.14030 J. Number Theory 242, 235-243 (2023). Reviewer: Ilker Inam (Bilecik) MSC: 14H45 11G05 14G12 14G05 PDF BibTeX XML Cite \textit{H. Wu}, J. Number Theory 242, 235--243 (2023; Zbl 1496.14030) Full Text: DOI arXiv
Philip, Séverin On the semi-stability degree for abelian varieties. (English) Zbl 07740267 Bull. Lond. Math. Soc. 54, No. 6, 2174-2187 (2022). MSC: 11G10 14G25 14G12 PDF BibTeX XML Cite \textit{S. Philip}, Bull. Lond. Math. Soc. 54, No. 6, 2174--2187 (2022; Zbl 07740267) Full Text: DOI arXiv
Demarche, Cyril; Harari, David Local-global principles for homogeneous spaces of reductive groups over global function fields. (Principe local-global pour les espaces homogènes de groupes réductifs sur les corps globaux de fonctions.) (English. French summary) Zbl 07699341 Ann. Henri Lebesgue 5, 1111-1149 (2022). MSC: 11E72 11G35 14G12 14G25 14M17 20G30 PDF BibTeX XML Cite \textit{C. Demarche} and \textit{D. Harari}, Ann. Henri Lebesgue 5, 1111--1149 (2022; Zbl 07699341) Full Text: DOI arXiv
Rivera, Carlos; Viray, Bianca Persistence of the Brauer-Manin obstruction on cubic surfaces. (English) Zbl 07682681 Math. Res. Lett. 29, No. 6, 1881-1889 (2022). Reviewer: Nathan Grieve (Wolfville) MSC: 14G12 11G35 PDF BibTeX XML Cite \textit{C. Rivera} and \textit{B. Viray}, Math. Res. Lett. 29, No. 6, 1881--1889 (2022; Zbl 07682681) Full Text: DOI arXiv
Chuluunbaatar, O.; Gusev, A. A.; Vinitsky, S. I.; Abrashkevich, A. G.; Wen, P. W.; Lin, C. J. KANTBP 3.1: a program for computing energy levels, reflection and transmission matrices, and corresponding wave functions in the coupled-channel and adiabatic approaches. (English) Zbl 07680569 Comput. Phys. Commun. 278, Article ID 108397, 14 p. (2022). MSC: 81U05 94A40 70F10 35P15 65M60 70H11 14G12 34L16 81Q37 PDF BibTeX XML Cite \textit{O. Chuluunbaatar} et al., Comput. Phys. Commun. 278, Article ID 108397, 14 p. (2022; Zbl 07680569) Full Text: DOI
Salvat, Francesc; Llosa, Josep; Lallena, Antonio M.; Almansa, Julio ECCPA: calculation of classical and quantum cross sections for elastic collisions of charged particles with atoms. (English) Zbl 07680545 Comput. Phys. Commun. 277, Article ID 108368, 22 p. (2022). MSC: 81U05 78A45 70F35 14G12 81U30 78A35 81-01 PDF BibTeX XML Cite \textit{F. Salvat} et al., Comput. Phys. Commun. 277, Article ID 108368, 22 p. (2022; Zbl 07680545) Full Text: DOI
Li, Xiaojian; Reiter, Jay; Tang, Shiang; Wang, Napoleon; Yi, Jin \(p\)-adic incomplete gamma functions and Artin-Hasse-type series. (English) Zbl 07642553 \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. 4, 335-343 (2022). MSC: 33-XX 26-XX PDF BibTeX XML Cite \textit{X. Li} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 14, No. 4, 335--343 (2022; Zbl 07642553) Full Text: DOI arXiv
Kebekus, Stefan; Pereira, Jorge Vitório; Smeets, Arne Failure of the Brauer-Manin principle for a simply connected fourfold over a global function field, via orbifold Mordell. (English) Zbl 1516.14043 Duke Math. J. 171, No. 17, 3515-3591 (2022). Reviewer: Stefan Schröer (Düsseldorf) MSC: 14F22 11G35 PDF BibTeX XML Cite \textit{S. Kebekus} et al., Duke Math. J. 171, No. 17, 3515--3591 (2022; Zbl 1516.14043) Full Text: DOI arXiv
Nguyễn Quốc Thắng A note on obstructions to weak approximation and Brauer and R-equivalence relations for homogeneous spaces over global fields. (English) Zbl 1499.11178 Proc. Japan Acad., Ser. A 98, No. 9, 84-89 (2022). MSC: 11E72 14G12 14G20 20G10 PDF BibTeX XML Cite \textit{Nguyễn Quốc Thắng}, Proc. Japan Acad., Ser. A 98, No. 9, 84--89 (2022; Zbl 1499.11178) Full Text: DOI
Dvornicich, Roberto; Paladino, Laura Local-global questions for divisibility in commutative algebraic groups. (English) Zbl 1509.11045 Eur. J. Math. 8, Suppl. 2, S599-S628 (2022). Reviewer: Matteo Verzobio (Pisa) MSC: 11G05 11G07 11G10 11E72 PDF BibTeX XML Cite \textit{R. Dvornicich} and \textit{L. Paladino}, Eur. J. Math. 8, S599--S628 (2022; Zbl 1509.11045) Full Text: DOI arXiv
Cao, Yang; Liang, Yongqi Étale Brauer-Manin obstruction for Weil restrictions. (English) Zbl 1510.14019 Adv. Math. 410 A, Article ID 108718, 20 p. (2022). MSC: 14G12 11G35 14G05 PDF BibTeX XML Cite \textit{Y. Cao} and \textit{Y. Liang}, Adv. Math. 410 A, Article ID 108718, 20 p. (2022; Zbl 1510.14019) Full Text: DOI arXiv
Demeio, Julian L. The étale Brauer-Manin obstruction to strong approximation on homogeneous spaces. (English) Zbl 1510.14020 Trans. Am. Math. Soc. 375, No. 12, 8581-8634 (2022). MSC: 14G12 14G05 14M17 PDF BibTeX XML Cite \textit{J. L. Demeio}, Trans. Am. Math. Soc. 375, No. 12, 8581--8634 (2022; Zbl 1510.14020) Full Text: DOI arXiv
Bac, Dao Phuong On some estimates and topological properties of relative orbits of subsets. (English) Zbl 1509.11026 J. Algebra Appl. 21, No. 12, Article ID 2250241, 35 p. (2022). MSC: 11E95 14G12 11G25 14L24 14L30 20G15 22E35 PDF BibTeX XML Cite \textit{D. P. Bac}, J. Algebra Appl. 21, No. 12, Article ID 2250241, 35 p. (2022; Zbl 1509.11026) Full Text: DOI
Wu, Han Noninvariance of weak approximation with Brauer-Manin obstruction for surfaces. (English) Zbl 07601563 Acta Arith. 205, No. 1, 21-32 (2022). MSC: 11G35 14G12 14F22 14G05 PDF BibTeX XML Cite \textit{H. Wu}, Acta Arith. 205, No. 1, 21--32 (2022; Zbl 07601563) Full Text: DOI arXiv
Colliot-Thélène, Jean-Louis; Harbater, David; Hartmann, Julia; Krashen, Daniel; Parimala, R.; Suresh, V. Local-global principles for constant reductive groups over semi-global fields. (English) Zbl 1502.14059 Mich. Math. J. 72, 77-144 (2022). Reviewer: B. Z. Moroz (Bonn) MSC: 14G12 14D10 14G20 14F20 14L15 11G20 05C05 20G25 PDF BibTeX XML Cite \textit{J.-L. Colliot-Thélène} et al., Mich. Math. J. 72, 77--144 (2022; Zbl 1502.14059) Full Text: DOI arXiv Link
Harpaz, Yonatan; Wei, Dasheng; Wittenberg, Olivier Rational points on fibrations with few non-split fibres. (English) Zbl 1507.14036 J. Reine Angew. Math. 791, 89-133 (2022). MSC: 14G12 14G05 11G35 14G25 14F22 PDF BibTeX XML Cite \textit{Y. Harpaz} et al., J. Reine Angew. Math. 791, 89--133 (2022; Zbl 1507.14036) Full Text: DOI arXiv
Pagano, Margherita An example of a Brauer-Manin obstruction to weak approximation at a prime with good reduction. (English) Zbl 1502.14060 Res. Number Theory 8, No. 3, Paper No. 63, 15 p. (2022). MSC: 14G12 14J28 PDF BibTeX XML Cite \textit{M. Pagano}, Res. Number Theory 8, No. 3, Paper No. 63, 15 p. (2022; Zbl 1502.14060) Full Text: DOI arXiv
Starr, Jason M.; Tian, Zhiyu; Zong, Runhong Weak approximation for Fano complete intersections in positive characteristic. (L’approximation faible pour les intersections complètes de type Fano en caractéristique positive.) (English. French summary) Zbl 1502.14121 Ann. Inst. Fourier 72, No. 4, 1503-1534 (2022). Reviewer: Andreas Höring (Nice) MSC: 14M22 14D10 14G12 PDF BibTeX XML Cite \textit{J. M. Starr} et al., Ann. Inst. Fourier 72, No. 4, 1503--1534 (2022; Zbl 1502.14121) Full Text: DOI arXiv
Rüd, Thomas Explicit Tamagawa numbers for certain algebraic tori over number fields. (English) Zbl 1497.11095 Math. Comput. 91, No. 338, 2867-2904 (2022). MSC: 11E72 14L35 20G30 PDF BibTeX XML Cite \textit{T. Rüd}, Math. Comput. 91, No. 338, 2867--2904 (2022; Zbl 1497.11095) Full Text: DOI arXiv
Gvirtz, Damián; Loughran, Daniel; Nakahara, Masahiro Quantitative arithmetic of diagonal degree 2 \(K3\) surfaces. (English) Zbl 1507.14035 Math. Ann. 384, No. 1-2, 135-209 (2022). Reviewer: Masato Kuwata (Tokyo) MSC: 14G12 14G05 14F22 14J28 PDF BibTeX XML Cite \textit{D. Gvirtz} et al., Math. Ann. 384, No. 1--2, 135--209 (2022; Zbl 1507.14035) Full Text: DOI arXiv
Nguyen Xuan Tho Counterexamples to the Hasse principle in families. (English) Zbl 1505.11052 Bull. Aust. Math. Soc. 106, No. 1, 18-27 (2022). Reviewer: David McKinnon (Waterloo) MSC: 11D25 11D72 14G12 PDF BibTeX XML Cite \textit{Nguyen Xuan Tho}, Bull. Aust. Math. Soc. 106, No. 1, 18--27 (2022; Zbl 1505.11052) Full Text: DOI
Hoshi, Akinari; Kanai, Kazuki; Yamasaki, Aiichi Norm one tori and Hasse norm principle. (English) Zbl 1515.11028 Math. Comput. 91, No. 337, 2431-2458 (2022). MSC: 11E72 12F20 13A50 14E08 20C10 20G15 PDF BibTeX XML Cite \textit{A. Hoshi} et al., Math. Comput. 91, No. 337, 2431--2458 (2022; Zbl 1515.11028) Full Text: DOI arXiv
Mitankin, Vladimir; Salgado, Cecília Rational points on del Pezzo surfaces of degree four. (English) Zbl 1509.14053 Int. J. Number Theory 18, No. 9, 2099-2127 (2022). Reviewer: Rosa Winter (London) MSC: 14G12 11G35 11D09 14D10 14G05 PDF BibTeX XML Cite \textit{V. Mitankin} and \textit{C. Salgado}, Int. J. Number Theory 18, No. 9, 2099--2127 (2022; Zbl 1509.14053) Full Text: DOI arXiv
Ishitsuka, Yasuhiro; Ito, Tetsushi The Hasse principle for finite Galois modules allowing exceptional sets of positive density. (English) Zbl 1514.14033 Int. J. Number Theory 18, No. 9, 1895-1919 (2022). Reviewer: Takahiro Tsushima (Chiba) MSC: 14H25 11R34 14H50 PDF BibTeX XML Cite \textit{Y. Ishitsuka} and \textit{T. Ito}, Int. J. Number Theory 18, No. 9, 1895--1919 (2022; Zbl 1514.14033) Full Text: DOI arXiv
Santens, Tim Integral points on affine quadric surfaces. (English. French summary) Zbl 1502.11075 J. Théor. Nombres Bordx. 34, No. 1, 141-161 (2022). MSC: 11G35 11D09 14G05 14G12 PDF BibTeX XML Cite \textit{T. Santens}, J. Théor. Nombres Bordx. 34, No. 1, 141--161 (2022; Zbl 1502.11075) Full Text: DOI arXiv
Bengoechea, Paloma Thue equations that simultaneously fail the Hasse principle. (English) Zbl 1498.11099 Math. Proc. Camb. Philos. Soc. 172, No. 3, 617-626 (2022). Reviewer: David McKinnon (Waterloo) MSC: 11D59 11D75 14G12 PDF BibTeX XML Cite \textit{P. Bengoechea}, Math. Proc. Camb. Philos. Soc. 172, No. 3, 617--626 (2022; Zbl 1498.11099) Full Text: DOI
Macedo, André; Newton, Rachel Explicit methods for the Hasse norm principle and applications to \(A_n\) and \(S_n\) extensions. (English) Zbl 1512.14013 Math. Proc. Camb. Philos. Soc. 172, No. 3, 489-529 (2022). Reviewer: Yong Hu (Guangdong) MSC: 14G05 11E72 11R37 20G30 PDF BibTeX XML Cite \textit{A. Macedo} and \textit{R. Newton}, Math. Proc. Camb. Philos. Soc. 172, No. 3, 489--529 (2022; Zbl 1512.14013) Full Text: DOI arXiv
Frei, Christopher; Loughran, Daniel; Newton, Rachel [Harpaz, Yonatan; Wittenberg, Olivier] Number fields with prescribed norms (with an appendix by Yonatan Harpaz and Olivier Wittenberg). (English) Zbl 1507.11102 Comment. Math. Helv. 97, No. 1, 133-181 (2022). Reviewer: B. Z. Moroz (Bonn) MSC: 11R37 11R45 43A70 14G05 PDF BibTeX XML Cite \textit{C. Frei} et al., Comment. Math. Helv. 97, No. 1, 133--181 (2022; Zbl 1507.11102) Full Text: DOI
Ieronymou, Evis Evaluation of Brauer elements over local fields. (English) Zbl 1502.11074 Math. Ann. 382, No. 1-2, 239-254 (2022). MSC: 11G35 14F22 14J28 14G12 11G15 PDF BibTeX XML Cite \textit{E. Ieronymou}, Math. Ann. 382, No. 1--2, 239--254 (2022; Zbl 1502.11074) Full Text: DOI arXiv
Berg, Jennifer; Nakahara, Masahiro Rational points on conic bundles over elliptic curves. (English) Zbl 1493.14041 Math. Z. 300, No. 3, 2429-2449 (2022). MSC: 14G12 11G05 14F22 14G05 PDF BibTeX XML Cite \textit{J. Berg} and \textit{M. Nakahara}, Math. Z. 300, No. 3, 2429--2449 (2022; Zbl 1493.14041) Full Text: DOI arXiv
Cao, Yang; Huang, Zhizhong Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics. (English) Zbl 1493.14038 Adv. Math. 398, Article ID 108236, 53 p. (2022). MSC: 14G05 14G12 11D45 11N35 PDF BibTeX XML Cite \textit{Y. Cao} and \textit{Z. Huang}, Adv. Math. 398, Article ID 108236, 53 p. (2022; Zbl 1493.14038) Full Text: DOI arXiv
Lee, T.-Y. The Tate-Shafarevich groups of multinorm-one tori. (English) Zbl 07481842 J. Pure Appl. Algebra 226, No. 7, Article ID 106906, 25 p. (2022). MSC: 11G35 11R34 12G05 14G12 14G25 PDF BibTeX XML Cite \textit{T. Y. Lee}, J. Pure Appl. Algebra 226, No. 7, Article ID 106906, 25 p. (2022; Zbl 07481842) Full Text: DOI arXiv
Hashimoto, Sachi; Honigs, Katrina; Lamarche, Alicia; Vogt, Isabel A transcendental Brauer-Manin obstruction to weak approximation on a Calabi-Yau threefold. (English) Zbl 1486.14032 Res. Number Theory 8, No. 1, Paper No. 12, 23 p. (2022). Reviewer: Dino Festi (Milan) MSC: 14G12 14F22 11G35 14G05 14J28 PDF BibTeX XML Cite \textit{S. Hashimoto} et al., Res. Number Theory 8, No. 1, Paper No. 12, 23 p. (2022; Zbl 1486.14032) Full Text: DOI arXiv
Kneser, Martin Rehmann, Ulf (ed.); Tschinkel, Yuri (ed.) [Parimala, Raman; Scharlau, Rudolf; Ziegler, Günter M.] Collected works. Edited by Ulf Rehmann and Yuri Tschinkel. (English) Zbl 1504.11004 Contemporary Mathematicians. Cham: Birkhäuser (ISBN 978-3-030-81624-7/hbk; 978-3-030-81625-4/ebook). x, 749 p., C1 (2022). Reviewer: Detlev Hoffmann (Dortmund) MSC: 11-03 01A75 11Exx 20Gxx 14G12 06Bxx PDF BibTeX XML Cite \textit{M. Kneser} et al., Collected works. Edited by Ulf Rehmann and Yuri Tschinkel. Cham: Birkhäuser (2022; Zbl 1504.11004) Full Text: DOI
Mânzăţeanu, Adelina; Newton, Rachel; Ozman, Ekin; Sutherland, Nicole; Uysal, Rabia Gülşah The Hasse norm principle in global function fields. (English) Zbl 1498.11228 Cojocaru, Alina Carmen (ed.) et al., Women in numbers Europe III. Research directions in number theory. Selected papers based on the presentations at the 3rd conference, WINE 3, La Hublais, Center in Cesson-Sévigné, Bretagne, France, August 26–30, 2019. Cham: Springer. Assoc. Women Math. Ser. 24, 275-290 (2021). MSC: 11R58 11R37 11N45 14G12 11G35 PDF BibTeX XML Cite \textit{A. Mânzăţeanu} et al., Assoc. Women Math. Ser. 24, 275--290 (2021; Zbl 1498.11228) Full Text: DOI arXiv
Gomez, Ignacio S.; Santos, Esdras S.; Abla, Olavo Morse potential in relativistic contexts from generalized momentum operator: Schottky anomalies, Pekeris approximation and mapping. (English) Zbl 1487.81084 Mod. Phys. Lett. A 36, No. 20, Article ID 2150140, 20 p. (2021). MSC: 81Q05 81R20 14G12 34C15 53D20 58E05 81V55 81R25 80A10 34L40 PDF BibTeX XML Cite \textit{I. S. Gomez} et al., Mod. Phys. Lett. A 36, No. 20, Article ID 2150140, 20 p. (2021; Zbl 1487.81084) Full Text: DOI arXiv
Loughran, Daniel; Mitankin, Vladimir Integral Hasse principle and strong approximation for Markoff surfaces. (English) Zbl 1485.11106 Int. Math. Res. Not. 2021, No. 18, 14086-14122 (2021). Reviewer: Paul Voutier (London) MSC: 11G25 11D25 14G12 PDF BibTeX XML Cite \textit{D. Loughran} and \textit{V. Mitankin}, Int. Math. Res. Not. 2021, No. 18, 14086--14122 (2021; Zbl 1485.11106) Full Text: DOI arXiv
Krasoń, Piotr Note on linear relations in Galois cohomology and étale \(K\)-theory of curves. (English) Zbl 1485.19006 Commun. Contemp. Math. 23, No. 8, Article ID 2150010, 15 p. (2021). MSC: 19E08 12G05 19E20 11G30 14H40 14G12 PDF BibTeX XML Cite \textit{P. Krasoń}, Commun. Contemp. Math. 23, No. 8, Article ID 2150010, 15 p. (2021; Zbl 1485.19006) Full Text: DOI arXiv
Browning, Tim Cubic forms and the circle method. (English) Zbl 1493.11003 Progress in Mathematics 343. Cham: Birkhäuser (ISBN 978-3-030-86871-0/hbk; 978-3-030-86872-7/ebook). xiv, 166 p. (2021). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11Dxx 11P55 11E76 PDF BibTeX XML Cite \textit{T. Browning}, Cubic forms and the circle method. Cham: Birkhäuser (2021; Zbl 1493.11003) Full Text: DOI
Hirakawa, Yoshinosuke; Kanamura, Yoshinori How to calculate the proportion of everywhere locally soluble diagonal hypersurfaces. (English) Zbl 1492.14038 Int. J. Number Theory 17, No. 10, 2361-2377 (2021). Reviewer: Arman Shamsi Zargar (Ardabil) MSC: 14G12 14G05 11D09 11D25 11D41 11D72 11E76 PDF BibTeX XML Cite \textit{Y. Hirakawa} and \textit{Y. Kanamura}, Int. J. Number Theory 17, No. 10, 2361--2377 (2021; Zbl 1492.14038) Full Text: DOI arXiv
König, Joachim; Legrand, François Density results for specialization sets of Galois covers. (English) Zbl 1481.11110 J. Inst. Math. Jussieu 20, No. 5, 1455-1496 (2021). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R32 11G30 14E20 14G05 PDF BibTeX XML Cite \textit{J. König} and \textit{F. Legrand}, J. Inst. Math. Jussieu 20, No. 5, 1455--1496 (2021; Zbl 1481.11110) Full Text: DOI arXiv
Borovoi, Mikhail; Semenov, Nikita; Zhykhovich, Maksim Hasse principle for Rost motives. (English) Zbl 1467.14061 Int. Math. Res. Not. 2021, No. 6, 4231-4254 (2021). MSC: 14F42 14G12 11E12 14C15 19E15 PDF BibTeX XML Cite \textit{M. Borovoi} et al., Int. Math. Res. Not. 2021, No. 6, 4231--4254 (2021; Zbl 1467.14061) Full Text: DOI arXiv
Ieronymou, Evis The Brauer-Manin obstruction for zero-cycles on \(K3\) surfaces. (English) Zbl 1467.14063 Int. Math. Res. Not. 2021, No. 3, 2250-2260 (2021). MSC: 14G12 14J28 PDF BibTeX XML Cite \textit{E. Ieronymou}, Int. Math. Res. Not. 2021, No. 3, 2250--2260 (2021; Zbl 1467.14063) Full Text: DOI arXiv
Benoist, Olivier; Wittenberg, Olivier The tight approximation property. (English) Zbl 1484.14053 J. Reine Angew. Math. 776, 151-200 (2021). MSC: 14G12 14P10 PDF BibTeX XML Cite \textit{O. Benoist} and \textit{O. Wittenberg}, J. Reine Angew. Math. 776, 151--200 (2021; Zbl 1484.14053) Full Text: DOI arXiv
Bitan, Rony A.; Köhl, Ralf; Schoemann, Claudia The twisted forms of a semisimple group over an \(\mathbb{F}_q\)-curve. (English. French summary) Zbl 1507.11057 J. Théor. Nombres Bordx. 33, No. 1, 17-38 (2021). MSC: 11G20 11G45 11R29 PDF BibTeX XML Cite \textit{R. A. Bitan} et al., J. Théor. Nombres Bordx. 33, No. 1, 17--38 (2021; Zbl 1507.11057) Full Text: DOI arXiv
Addington, Nicolas; Antieau, Benjamin; Honigs, Katrina; Frei, Sarah Rational points and derived equivalence. (English) Zbl 1477.14020 Compos. Math. 157, No. 5, 1036-1050 (2021). Reviewer: Evis Ieronymou (Nicosia) MSC: 14D20 14F08 14G05 14G12 14H40 14J28 14J42 PDF BibTeX XML Cite \textit{N. Addington} et al., Compos. Math. 157, No. 5, 1036--1050 (2021; Zbl 1477.14020) Full Text: DOI arXiv
Valloni, Domenico Complex multiplication and Brauer groups of \(K3\) surfaces. (English) Zbl 1469.14082 Adv. Math. 385, Article ID 107772, 54 p. (2021). Reviewer: Evis Ieronymou (Nicosia) MSC: 14J28 14G12 14F22 PDF BibTeX XML Cite \textit{D. Valloni}, Adv. Math. 385, Article ID 107772, 54 p. (2021; Zbl 1469.14082) Full Text: DOI arXiv
Fisher, Tom; Ho, Wei; Park, Jennifer Everywhere local solubility for hypersurfaces in products of projective spaces. (English) Zbl 1468.11150 Res. Number Theory 7, No. 1, Paper No. 6, 27 p. (2021). MSC: 11G35 14J45 11E12 11G25 14G05 PDF BibTeX XML Cite \textit{T. Fisher} et al., Res. Number Theory 7, No. 1, Paper No. 6, 27 p. (2021; Zbl 1468.11150) Full Text: DOI arXiv
Chen, Sheng Integral points on twisted Markoff surfaces. (English) Zbl 1468.11149 J. Number Theory 220, 212-234 (2021). MSC: 11G35 11D25 14F22 14G12 PDF BibTeX XML Cite \textit{S. Chen}, J. Number Theory 220, 212--234 (2021; Zbl 1468.11149) Full Text: DOI arXiv
Tian, Yisheng Obstructions to weak approximation for reductive groups over \(p\)-adic function fields. (English) Zbl 1464.11046 J. Number Theory 220, 128-162 (2021). MSC: 11E95 11G20 14G12 PDF BibTeX XML Cite \textit{Y. Tian}, J. Number Theory 220, 128--162 (2021; Zbl 1464.11046) Full Text: DOI arXiv
Creutz, Brendan There are no transcendental Brauer-Manin obstructions on abelian varieties. (English) Zbl 1477.14039 Int. Math. Res. Not. 2020, No. 9, 2684-2697 (2020). MSC: 14G12 14K15 PDF BibTeX XML Cite \textit{B. Creutz}, Int. Math. Res. Not. 2020, No. 9, 2684--2697 (2020; Zbl 1477.14039) Full Text: DOI arXiv
Colliot-Thélène, Jean-Louis; Wei, Dasheng; Xu, Fei Brauer-Manin obstruction for Markoff surfaces. (English) Zbl 1478.11091 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, Spec. Iss., 1257-1313 (2020). Reviewer: B. Z. Moroz (Bonn) MSC: 11G35 11D25 14F22 PDF BibTeX XML Cite \textit{J.-L. Colliot-Thélène} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 21, 1257--1313 (2020; Zbl 1478.11091) Full Text: DOI arXiv
Cao, Yang; Huang, Zhizhong Arithmetic purity of strong approximation for semi-simple simply connected groups. (English) Zbl 1484.11145 Compos. Math. 156, No. 12, 2628-2649 (2020). Reviewer: David McKinnon (Waterloo) MSC: 11G35 11N35 20G15 14G05 20G30 14L15 14G12 20G35 11N36 PDF BibTeX XML Cite \textit{Y. Cao} and \textit{Z. Huang}, Compos. Math. 156, No. 12, 2628--2649 (2020; Zbl 1484.11145) Full Text: DOI arXiv
Hirakawa, Yoshinosuke Counterexamples to the local-global principle associated with Swinnerton-Dyer’s cubic form. (English) Zbl 1494.11034 Rocky Mt. J. Math. 50, No. 6, 2097-2102 (2020). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11D57 11D41 11D72 11R18 PDF BibTeX XML Cite \textit{Y. Hirakawa}, Rocky Mt. J. Math. 50, No. 6, 2097--2102 (2020; Zbl 1494.11034) Full Text: DOI arXiv Euclid
Bright, Martin; Loughran, Daniel Brauer-Manin obstruction for Erdős-Straus surfaces. (English) Zbl 1459.14011 Bull. Lond. Math. Soc. 52, No. 4, 746-761 (2020). MSC: 14G12 11D25 11D68 14F22 14G05 PDF BibTeX XML Cite \textit{M. Bright} and \textit{D. Loughran}, Bull. Lond. Math. Soc. 52, No. 4, 746--761 (2020; Zbl 1459.14011) Full Text: DOI arXiv
Cao, Yang Invariant Brauer subgroup and iterated descent obstruction. (Sous-groupe de Brauer invariant et obstruction de descente itérée.) (French. English summary) Zbl 1469.11216 Algebra Number Theory 14, No. 8, 2151-2183 (2020); corrigendum ibid. 17, No. 1, 261-266 (2023). MSC: 11G35 14G05 20G35 PDF BibTeX XML Cite \textit{Y. Cao}, Algebra Number Theory 14, No. 8, 2151--2183 (2020; Zbl 1469.11216) Full Text: DOI arXiv
Bayer-Fluckiger, Eva; Parimala, Raman On unramified Brauer groups of torsors over tori. (English) Zbl 1505.11096 Doc. Math. 25, 1263-1284 (2020). MSC: 11G35 11R34 12G05 14G05 14G25 PDF BibTeX XML Cite \textit{E. Bayer-Fluckiger} and \textit{R. Parimala}, Doc. Math. 25, 1263--1284 (2020; Zbl 1505.11096) Full Text: DOI arXiv
Liang, Yongqi Strong approximation for products of abelian varieties punctured at torsion points. (Approximation forte sur un produit de variétés abéliennes épointé en des points de torsion.) (French. English summary) Zbl 1470.11181 Proc. Am. Math. Soc. 148, No. 11, 4635-4642 (2020). MSC: 11G35 14G25 14G12 PDF BibTeX XML Cite \textit{Y. Liang}, Proc. Am. Math. Soc. 148, No. 11, 4635--4642 (2020; Zbl 1470.11181) Full Text: DOI arXiv
Loughran, Daniel; Takloo-Bighash, Ramin; Tanimoto, Sho Zero-loci of Brauer group elements on semi-simple algebraic groups. (English) Zbl 1454.14063 J. Inst. Math. Jussieu 19, No. 5, 1467-1507 (2020). MSC: 14G05 11D45 14F22 11F72 14G12 PDF BibTeX XML Cite \textit{D. Loughran} et al., J. Inst. Math. Jussieu 19, No. 5, 1467--1507 (2020; Zbl 1454.14063) Full Text: DOI arXiv
Bondarewicz, Wojciech; Krasoń, Piotr On a reduction map for Drinfeld modules. (English) Zbl 1458.11096 Acta Arith. 195, No. 2, 109-129 (2020). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 14G05 14G25 11J93 PDF BibTeX XML Cite \textit{W. Bondarewicz} and \textit{P. Krasoń}, Acta Arith. 195, No. 2, 109--129 (2020; Zbl 1458.11096) Full Text: DOI arXiv
van Ittersum, Jan-Willem M. Quantitative results on Diophantine equations in many variables. (English) Zbl 1461.11053 Acta Arith. 194, No. 3, 219-240 (2020). MSC: 11D72 11D45 11P55 14G12 PDF BibTeX XML Cite \textit{J.-W. M. van Ittersum}, Acta Arith. 194, No. 3, 219--240 (2020; Zbl 1461.11053) Full Text: DOI arXiv
Luca, Florian; Mihăilescu, Preda Small fields with large class groups. (English) Zbl 1458.11159 Chakraborty, Kalyan (ed.) et al., Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4–7, 2017. Singapore: Springer. 113-118 (2020). Reviewer: Günter Lettl (Graz) MSC: 11R29 PDF BibTeX XML Cite \textit{F. Luca} and \textit{P. Mihăilescu}, in: Class groups of number fields and related topics. Collected papers presented at the first international conference, ICCGNFRT, Harish-Chandra Research Institute, Allahabad, India, September 4--7, 2017. Singapore: Springer. 113--118 (2020; Zbl 1458.11159) Full Text: DOI
Riman, Manar Vanishing of the Brauer group of a del Pezzo surface of degree 4. (English) Zbl 1453.14073 J. Number Theory 214, 348-359 (2020). MSC: 14G12 14F22 PDF BibTeX XML Cite \textit{M. Riman}, J. Number Theory 214, 348--359 (2020; Zbl 1453.14073) Full Text: DOI arXiv Link
Pridham, Jonathan P. Nonabelian reciprocity laws and higher Brauer-Manin obstructions. (English) Zbl 1454.14066 Algebr. Geom. Topol. 20, No. 2, 699-756 (2020). MSC: 14G12 11D99 14F35 14F20 55Q05 55S35 PDF BibTeX XML Cite \textit{J. P. Pridham}, Algebr. Geom. Topol. 20, No. 2, 699--756 (2020; Zbl 1454.14066) Full Text: DOI arXiv
Coray, Daniel Notes on geometry and arithmetic. Translated from the French by John Steinig and Constantin Manoil. (English) Zbl 1457.11001 Universitext. Cham: Springer (ISBN 978-3-030-43780-0/pbk; 978-3-030-43781-7/ebook). xii, 181 p. (2020). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 14-01 11Jxx 11Gxx 14Gxx PDF BibTeX XML Cite \textit{D. Coray}, Notes on geometry and arithmetic. Translated from the French by John Steinig and Constantin Manoil. Cham: Springer (2020; Zbl 1457.11001) Full Text: DOI
Macedo, André The Hasse norm principle for \(A_n\)-extensions. (English) Zbl 1442.14086 J. Number Theory 211, 500-512 (2020). MSC: 14G12 14G05 11E72 11R37 20D06 PDF BibTeX XML Cite \textit{A. Macedo}, J. Number Theory 211, 500--512 (2020; Zbl 1442.14086) Full Text: DOI arXiv
Mitankin, Vladimir Integral points on generalised affine Châtelet surfaces. (English) Zbl 1486.11050 Bull. Sci. Math. 159, Article ID 102830, 20 p. (2020). Reviewer: David McKinnon (Waterloo) MSC: 11D57 14G05 11G35 11R29 PDF BibTeX XML Cite \textit{V. Mitankin}, Bull. Sci. Math. 159, Article ID 102830, 20 p. (2020; Zbl 1486.11050) Full Text: DOI arXiv Link
Rössler, Damian Strongly semistable sheaves and the Mordell-Lang conjecture over function fields. (English) Zbl 1445.14030 Math. Z. 294, No. 3-4, 1035-1049 (2020). MSC: 14F08 11G10 11G35 14G17 14G12 PDF BibTeX XML Cite \textit{D. Rössler}, Math. Z. 294, No. 3--4, 1035--1049 (2020; Zbl 1445.14030) Full Text: DOI arXiv
Berg, Jennifer; Várilly-Alvarado, Anthony Odd order obstructions to the Hasse principle on general \(K3\) surfaces. (English) Zbl 1452.14019 Math. Comput. 89, No. 323, 1395-1416 (2020). MSC: 14G12 14F22 14G05 14J28 14J35 PDF BibTeX XML Cite \textit{J. Berg} and \textit{A. Várilly-Alvarado}, Math. Comput. 89, No. 323, 1395--1416 (2020; Zbl 1452.14019) Full Text: DOI arXiv
Geisser, Thomas H. Hasse principles for étale motivic cohomology. (English) Zbl 1436.11074 Nagoya Math. J. 236, 63-83 (2019). MSC: 11G35 14G12 14F22 14F42 PDF BibTeX XML Cite \textit{T. H. Geisser}, Nagoya Math. J. 236, 63--83 (2019; Zbl 1436.11074) Full Text: DOI
Rydin Myerson, Simon L. Systems of cubic forms in many variables. (English) Zbl 1443.11209 J. Reine Angew. Math. 757, 309-328 (2019). Reviewer: D. R. Heath-Brown (Garsington) MSC: 11P55 11D45 11D72 11D75 11D25 14G05 PDF BibTeX XML Cite \textit{S. L. Rydin Myerson}, J. Reine Angew. Math. 757, 309--328 (2019; Zbl 1443.11209) Full Text: DOI arXiv
Cao, Yang; Liang, Yongqi; Xu, Fei Arithmetic purity of strong approximation for homogeneous spaces. (English. French summary) Zbl 1454.14065 J. Math. Pures Appl. (9) 132, 334-368 (2019). MSC: 14G12 11G35 14G25 PDF BibTeX XML Cite \textit{Y. Cao} et al., J. Math. Pures Appl. (9) 132, 334--368 (2019; Zbl 1454.14065) Full Text: DOI arXiv Link
Marmon, O.; Vishe, P. On the Hasse principle for quartic hypersurfaces. (English) Zbl 1457.11138 Duke Math. J. 168, No. 14, 2727-2799 (2019). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11P55 11D25 11D45 14G05 PDF BibTeX XML Cite \textit{O. Marmon} and \textit{P. Vishe}, Duke Math. J. 168, No. 14, 2727--2799 (2019; Zbl 1457.11138) Full Text: DOI arXiv Euclid Link
Liu, Jianya; Wu, Jie; Zhao, Yongqiang Manin’s conjecture for a class of singular cubic hypersurfaces. (English) Zbl 1451.11021 Int. Math. Res. Not. 2019, No. 7, 2008-2043 (2019). MSC: 11D45 11N37 14G40 14G12 14J70 PDF BibTeX XML Cite \textit{J. Liu} et al., Int. Math. Res. Not. 2019, No. 7, 2008--2043 (2019; Zbl 1451.11021) Full Text: DOI arXiv
Izquierdo, Diego Vanishing theorems and Brauer-Hasse-Noether exact sequences for the cohomology of higher-dimensional fields. (English) Zbl 1454.11201 Trans. Am. Math. Soc. 372, No. 12, 8621-8662 (2019). Reviewer: Mouad Moutaoukil (Fès) MSC: 11R34 11G25 11G35 11S25 12G05 14G15 14G20 14G25 14J20 14J17 PDF BibTeX XML Cite \textit{D. Izquierdo}, Trans. Am. Math. Soc. 372, No. 12, 8621--8662 (2019; Zbl 1454.11201) Full Text: DOI arXiv
Jahnel, Jörg; Schindler, Damaris On the frequency of algebraic Brauer classes on certain log \(K3\)- surfaces. (English) Zbl 1436.14045 Can. Math. Bull. 62, No. 3, 551-563 (2019). Reviewer: D. R. Heath-Brown (Garsington) MSC: 14G12 14J20 11D45 11E12 14G25 14F22 PDF BibTeX XML Cite \textit{J. Jahnel} and \textit{D. Schindler}, Can. Math. Bull. 62, No. 3, 551--563 (2019; Zbl 1436.14045) Full Text: DOI arXiv
Sun, Chia-Liang The triviality of Brauer-Manin obstruction for subvarieties of semi-abelian varieties over function fields of characteristic zero. (English) Zbl 1470.11182 Manuscr. Math. 160, No. 3-4, 385-389 (2019). MSC: 11G35 14G25 14G12 14K12 PDF BibTeX XML Cite \textit{C.-L. Sun}, Manuscr. Math. 160, No. 3--4, 385--389 (2019; Zbl 1470.11182) Full Text: DOI
Malmendier, Andreas; Sung, Yih Counting rational points on Kummer surfaces. (English) Zbl 1442.14040 Res. Number Theory 5, No. 3, Paper No. 27, 23 p. (2019). Reviewer: David McKinnon (Waterloo) MSC: 14D10 14J28 33C65 14G12 PDF BibTeX XML Cite \textit{A. Malmendier} and \textit{Y. Sung}, Res. Number Theory 5, No. 3, Paper No. 27, 23 p. (2019; Zbl 1442.14040) Full Text: DOI arXiv
Kuo, Wentang; Liu, Yu-Ru; Zhao, Xiaomei The asymptotic estimates and Hasse principle for multidimensional Waring’s problem. (English) Zbl 1442.11137 Adv. Math. 353, 1-66 (2019). Reviewer: D. R. Heath-Brown (Garsington) MSC: 11P05 11P55 11T55 PDF BibTeX XML Cite \textit{W. Kuo} et al., Adv. Math. 353, 1--66 (2019; Zbl 1442.11137) Full Text: DOI
Booker, Andrew R. Cracking the problem with 33. (English) Zbl 1472.11093 Res. Number Theory 5, No. 3, Paper No. 26, 6 p. (2019). MSC: 11D25 11Y50 PDF BibTeX XML Cite \textit{A. R. Booker}, Res. Number Theory 5, No. 3, Paper No. 26, 6 p. (2019; Zbl 1472.11093) Full Text: DOI arXiv