Kaesberg, Miriam Sophie On Artin’s conjecture: pairs of additive forms. (English) Zbl 1510.11095 J. Lond. Math. Soc., II. Ser. 104, No. 5, 2016-2052 (2021). MSC: 11D72 11D88 PDFBibTeX XMLCite \textit{M. S. Kaesberg}, J. Lond. Math. Soc., II. Ser. 104, No. 5, 2016--2052 (2021; Zbl 1510.11095) Full Text: DOI arXiv
Tyurin, Dimitrii N. Generalization of the Artin-Hasse logarithm for the Milnor \(K\)-groups of \(\delta\)-rings. (English. Russian original) Zbl 1483.19001 Sb. Math. 212, No. 12, 1746-1764 (2021); translation from Mat. Sb. 212, No. 12, 1746-1764 (2021). MSC: 19D45 13F25 14F08 14F30 PDFBibTeX XMLCite \textit{D. N. Tyurin}, Sb. Math. 212, No. 12, 1746--1764 (2021; Zbl 1483.19001); translation from Mat. Sb. 212, No. 12, 1746--1764 (2021) Full Text: DOI
Nguyen Xuan Tho What positive integers \(n\) can be presented in the form \(n=(x+y+z)(1/x+1/y+1/z)\)? (English) Zbl 1487.11032 Ann. Math. Inform. 54, 141-146 (2021). MSC: 11D25 11G05 11D88 PDFBibTeX XMLCite \textit{Nguyen Xuan Tho}, Ann. Math. Inform. 54, 141--146 (2021; Zbl 1487.11032) Full Text: DOI
Hamahata, Yoshinori \(p\)-adic approximation of Dedekind sums in function fields. (English) Zbl 1479.11066 Funct. Approximatio, Comment. Math. 65, No. 2, 199-210 (2021). MSC: 11F20 11D88 11G09 PDFBibTeX XMLCite \textit{Y. Hamahata}, Funct. Approximatio, Comment. Math. 65, No. 2, 199--210 (2021; Zbl 1479.11066) Full Text: DOI
Duncan, Drew; Leep, David B. Solubility of additive sextic forms over \(\mathbb{Q}_2(\sqrt{-1})\) and \(\mathbb{Q}_2(\sqrt{-5})\). (English) Zbl 1488.11099 Publ. Math. Debr. 99, No. 3-4, 431-446 (2021). MSC: 11D88 11D72 11E76 PDFBibTeX XMLCite \textit{D. Duncan} and \textit{D. B. Leep}, Publ. Math. Debr. 99, No. 3--4, 431--446 (2021; Zbl 1488.11099) Full Text: DOI arXiv
Lang, Jaclyn; Ludwig, Judith \(\mathbb{A}_{\mathrm{inf}}\) is infinite dimensional. (English) Zbl 1475.13037 J. Inst. Math. Jussieu 20, No. 6, 1983-1989 (2021). MSC: 13F35 13F25 14F30 PDFBibTeX XMLCite \textit{J. Lang} and \textit{J. Ludwig}, J. Inst. Math. Jussieu 20, No. 6, 1983--1989 (2021; Zbl 1475.13037) Full Text: DOI arXiv
Brandes, Julia; Dietmann, Rainer Rational lines on cubic hypersurfaces. (English) Zbl 1505.11063 Math. Proc. Camb. Philos. Soc. 171, No. 1, 99-112 (2021). Reviewer: David McKinnon (Waterloo) MSC: 11D72 14G05 11E76 11D88 14J70 PDFBibTeX XMLCite \textit{J. Brandes} and \textit{R. Dietmann}, Math. Proc. Camb. Philos. Soc. 171, No. 1, 99--112 (2021; Zbl 1505.11063) Full Text: DOI arXiv
Ulas, Maciej; Żmija, Błażej On \(p\)-adic valuations of certain \(m\) colored \(p\)-ary partition functions. (English) Zbl 1512.11073 Ramanujan J. 55, No. 2, 623-660 (2021). MSC: 11P81 11P83 11B50 PDFBibTeX XMLCite \textit{M. Ulas} and \textit{B. Żmija}, Ramanujan J. 55, No. 2, 623--660 (2021; Zbl 1512.11073) Full Text: DOI arXiv
Bell, Jason; Smertnig, Daniel Noncommutative rational Pólya series. (English) Zbl 1515.68188 Sel. Math., New Ser. 27, No. 3, Paper No. 34, 34 p. (2021). MSC: 68Q70 11D88 16W60 11D61 PDFBibTeX XMLCite \textit{J. Bell} and \textit{D. Smertnig}, Sel. Math., New Ser. 27, No. 3, Paper No. 34, 34 p. (2021; Zbl 1515.68188) Full Text: DOI arXiv
Skinner, Christopher Solvability of systems of diagonal equations over \(p\)-adic local fields. (English) Zbl 1497.11093 Proc. Lond. Math. Soc. (3) 122, No. 2, 207-228 (2021). MSC: 11D88 11D72 11E76 11G25 PDFBibTeX XMLCite \textit{C. Skinner}, Proc. Lond. Math. Soc. (3) 122, No. 2, 207--228 (2021; Zbl 1497.11093) Full Text: DOI
Dou, Donna Q. J.; Xiao, Jiejuan The 5-dissections of two infinite product expansions. (English) Zbl 1466.33012 Ramanujan J. 54, No. 3, 475-484 (2021). MSC: 33D15 11F33 PDFBibTeX XMLCite \textit{D. Q. J. Dou} and \textit{J. Xiao}, Ramanujan J. 54, No. 3, 475--484 (2021; Zbl 1466.33012) Full Text: DOI
Mani, Nitya; Rubinstein-Salzedo, Simon Diophantine tuples over \(\mathbb{Z}_p\). (English) Zbl 1465.11089 Acta Arith. 197, No. 4, 331-351 (2021). MSC: 11D88 11D45 11D72 PDFBibTeX XMLCite \textit{N. Mani} and \textit{S. Rubinstein-Salzedo}, Acta Arith. 197, No. 4, 331--351 (2021; Zbl 1465.11089) Full Text: DOI arXiv
Liu, Ji-Cai Supercongruences arising from transformations of hypergeometric series. (English) Zbl 1459.33007 J. Math. Anal. Appl. 497, No. 2, Article ID 124915, 12 p. (2021). MSC: 33C20 11D88 PDFBibTeX XMLCite \textit{J.-C. Liu}, J. Math. Anal. Appl. 497, No. 2, Article ID 124915, 12 p. (2021; Zbl 1459.33007) Full Text: DOI
Aroca, Fuensanta; Decaup, Julie; Rond, Guillaume Finiteness results concerning algebraic power series. (English) Zbl 1465.13017 J. Pure Appl. Algebra 225, No. 6, Article ID 106627, 14 p. (2021). Reviewer: Ali Benhissi (Monastir) MSC: 13F25 11D88 11G50 14G05 PDFBibTeX XMLCite \textit{F. Aroca} et al., J. Pure Appl. Algebra 225, No. 6, Article ID 106627, 14 p. (2021; Zbl 1465.13017) Full Text: DOI arXiv
Kallal, Kenz; Kirkpatrick, Hudson Ramification of wild automorphisms of Laurent series fields. (English) Zbl 1464.11125 Proc. Am. Math. Soc. 149, No. 3, 991-1009 (2021). Reviewer: Mouad Moutaoukil (Fès) MSC: 11S15 11D88 11S82 20E36 20E18 PDFBibTeX XMLCite \textit{K. Kallal} and \textit{H. Kirkpatrick}, Proc. Am. Math. Soc. 149, No. 3, 991--1009 (2021; Zbl 1464.11125) Full Text: DOI arXiv
Tran, Hoang Anh Applications of resultant of two \(p\)-adic power series. arXiv:2111.04974 Preprint, arXiv:2111.04974 [math.NT] (2021). MSC: 11D88 13P15 11A05 11T30 BibTeX Cite \textit{H. A. Tran}, ``Applications of resultant of two $p$-adic power series'', Preprint, arXiv:2111.04974 [math.NT] (2021) Full Text: arXiv OA License
d’Elbée, Christian Cyclic and non-cyclic division algebras of finite dp-rank. arXiv:2106.09767 Preprint, arXiv:2106.09767 [math.RA] (2021). MSC: 03C45 11D57 11D88 12J10 16K20 BibTeX Cite \textit{C. d'Elbée}, ``Cyclic and non-cyclic division algebras of finite dp-rank'', Preprint, arXiv:2106.09767 [math.RA] (2021) Full Text: arXiv OA License