Xiao, Zheng Greatest common divisors for polynomials in almost units and applications to linear recurrence sequences. (English) Zbl 07819890 Math. Z. 306, No. 4, Paper No. 61, 42 p. (2024). MSC: 11J25 11D75 11B37 11G35 11G50 11D61 PDFBibTeX XMLCite \textit{Z. Xiao}, Math. Z. 306, No. 4, Paper No. 61, 42 p. (2024; Zbl 07819890) Full Text: DOI arXiv
Aistleitner, Christoph; Blomer, Valentin; Radziwiłł, Maksym Triple correlation and long gaps in the spectrum of flat tori. (English) Zbl 07815176 J. Eur. Math. Soc. (JEMS) 26, No. 1, 41-74 (2024). MSC: 35P20 11D75 11K36 11E16 11L07 PDFBibTeX XMLCite \textit{C. Aistleitner} et al., J. Eur. Math. Soc. (JEMS) 26, No. 1, 41--74 (2024; Zbl 07815176) Full Text: DOI arXiv
Pasten, Hector The largest prime factor of \(n^2+1\) and improvements on subexponential \(ABC\). (English) Zbl 07813241 Invent. Math. 236, No. 1, 373-385 (2024). MSC: 11J25 11J86 11G18 PDFBibTeX XMLCite \textit{H. Pasten}, Invent. Math. 236, No. 1, 373--385 (2024; Zbl 07813241) Full Text: DOI arXiv
Germain, Pierre; Rydin Myerson, Simon L. Bounds for spectral projectors on generic tori. (English) Zbl 07796281 Math. Ann. 388, No. 1, 731-767 (2024). MSC: 42B15 42A45 11D75 11L07 42B15 11H06 11P21 PDFBibTeX XMLCite \textit{P. Germain} and \textit{S. L. Rydin Myerson}, Math. Ann. 388, No. 1, 731--767 (2024; Zbl 07796281) Full Text: DOI arXiv OA License
Bjorklund, Cameron; Litman, Matthew Error approximation for backwards and simple continued fractions. (English) Zbl 07783307 Res. Number Theory 10, No. 1, Paper No. 2, 26 p. (2024). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 11J70 11J25 PDFBibTeX XMLCite \textit{C. Bjorklund} and \textit{M. Litman}, Res. Number Theory 10, No. 1, Paper No. 2, 26 p. (2024; Zbl 07783307) Full Text: DOI OA License
Maga, Péter; Zábrádi, Gergely The sup-norm problem for automorphic cusp forms of \(\mathrm{PGL}(n,\mathbb{Z}[i])\). (English) Zbl 07783129 Proc. Am. Math. Soc. 152, No. 2, 559-572 (2024). MSC: 11F55 11F72 11D75 PDFBibTeX XMLCite \textit{P. Maga} and \textit{G. Zábrádi}, Proc. Am. Math. Soc. 152, No. 2, 559--572 (2024; Zbl 07783129) Full Text: DOI arXiv
Liu, Baian; Yap, JiaYan Longest and shortest factorizations in embedding dimension three. (English) Zbl 07824360 Involve 16, No. 4, 673-688 (2023). MSC: 11D75 20M13 20M14 PDFBibTeX XMLCite \textit{B. Liu} and \textit{J. Yap}, Involve 16, No. 4, 673--688 (2023; Zbl 07824360) Full Text: DOI arXiv
Mohammadi, Amir Finitary analysis in homogeneous spaces. (English) Zbl 07823076 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 5. Sections 9–11. Berlin: European Mathematical Society (EMS). 3530-3551 (2023). MSC: 37A17 20G30 37A45 22E40 11B75 11J25 PDFBibTeX XMLCite \textit{A. Mohammadi}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 5. Sections 9--11. Berlin: European Mathematical Society (EMS). 3530--3551 (2023; Zbl 07823076) Full Text: DOI OA License
Zaitsev, A. V. Forms of del Pezzo surfaces of degree 5 and 6. (English. Russian original) Zbl 07787332 Sb. Math. 214, No. 6, 816-831 (2023); translation from Mat. Sb. 214, No. 6, 69-86 (2023). MSC: 11J25 14J26 14J50 PDFBibTeX XMLCite \textit{A. V. Zaitsev}, Sb. Math. 214, No. 6, 816--831 (2023; Zbl 07787332); translation from Mat. Sb. 214, No. 6, 69--86 (2023) Full Text: DOI arXiv MNR
Dimitrov, S. I. A tangent inequality over primes. (English) Zbl 07786465 Ukr. Math. J. 75, No. 7, 1034-1051 (2023); and Ukr. Mat. Zh. 75, No. 7, 904-919 (2023). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11P32 11P55 11D75 PDFBibTeX XMLCite \textit{S. I. Dimitrov}, Ukr. Math. J. 75, No. 7, 1034--1051 (2023; Zbl 07786465) Full Text: DOI arXiv
German, Oleg N. Geometry of Diophantine exponents. (English. Russian original) Zbl 07771681 Russ. Math. Surv. 78, No. 2, 273-347 (2023); translation from Usp. Mat. Nauk 78, No. 2, 71-148 (2023). Reviewer: Oleg Karpenkov (Liverpool) MSC: 11J25 11J70 11J82 11D75 PDFBibTeX XMLCite \textit{O. N. German}, Russ. Math. Surv. 78, No. 2, 273--347 (2023; Zbl 07771681); translation from Usp. Mat. Nauk 78, No. 2, 71--148 (2023) Full Text: DOI arXiv MNR
Poëls, Anthony; Roy, Damien Parametric geometry of numbers over a number field and extension of scalars. (English) Zbl 07771232 Bull. Soc. Math. Fr. 151, No. 2, 257-303 (2023). MSC: 11J13 11H06 11J82 PDFBibTeX XMLCite \textit{A. Poëls} and \textit{D. Roy}, Bull. Soc. Math. Fr. 151, No. 2, 257--303 (2023; Zbl 07771232) Full Text: DOI arXiv
Shirandami, Victor Dense forests constructed from grids. (English) Zbl 07762652 Math. Z. 305, No. 1, Paper No. 15, 16 p. (2023). MSC: 11K60 11H06 11J17 11J25 11Z05 51M15 PDFBibTeX XMLCite \textit{V. Shirandami}, Math. Z. 305, No. 1, Paper No. 15, 16 p. (2023; Zbl 07762652) Full Text: DOI arXiv
Adiceam, Faustin; Marmon, Oscar Rational points close to non-singular algebraic curves. (English) Zbl 07754833 Mathematika 69, No. 4, 957-987 (2023). Reviewer: Paul Voutier (London) MSC: 11J25 PDFBibTeX XMLCite \textit{F. Adiceam} and \textit{O. Marmon}, Mathematika 69, No. 4, 957--987 (2023; Zbl 07754833) Full Text: DOI arXiv OA License
Bigushev, Elmir R.; German, Oleg N. Diophantine exponents of lattices and the growth of higher-dimensional analogues of partial quotients. (English. Russian original) Zbl 07745509 Sb. Math. 214, No. 3, 349-362 (2023); translation from Mat. Sb. 214, No. 3, 71-84 (2023). Reviewer: István Gaál (Debrecen) MSC: 11J25 11D75 PDFBibTeX XMLCite \textit{E. R. Bigushev} and \textit{O. N. German}, Sb. Math. 214, No. 3, 349--362 (2023; Zbl 07745509); translation from Mat. Sb. 214, No. 3, 71--84 (2023) Full Text: DOI MNR
German, Oleg N.; Moshchevitin, Nikolay G. On the transference principle and Nesterenko’s linear independence criterion. (English. Russian original) Zbl 07739845 Izv. Math. 87, No. 2, 252-264 (2023); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 2, 56-68 (2023). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 11J82 PDFBibTeX XMLCite \textit{O. N. German} and \textit{N. G. Moshchevitin}, Izv. Math. 87, No. 2, 252--264 (2023; Zbl 07739845); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 2, 56--68 (2023) Full Text: DOI arXiv MNR
Saradha, N.; Sharma, Divyum Diagonalizable Thue equations: revisited. (English) Zbl 07739358 Ramanujan J. 62, No. 1, 291-306 (2023). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11D59 11D75 11D45 PDFBibTeX XMLCite \textit{N. Saradha} and \textit{D. Sharma}, Ramanujan J. 62, No. 1, 291--306 (2023; Zbl 07739358) Full Text: DOI arXiv
Barber, Ben Small sums of five roots of unity. (English) Zbl 07738108 Bull. Lond. Math. Soc. 55, No. 4, 1890-1906 (2023). Reviewer: István Gaál (Debrecen) MSC: 11J25 PDFBibTeX XMLCite \textit{B. Barber}, Bull. Lond. Math. Soc. 55, No. 4, 1890--1906 (2023; Zbl 07738108) Full Text: DOI arXiv
Minelli, Paolo; Sourmelidis, Athanasios; Technau, Marc Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums. (English) Zbl 07735154 Math. Ann. 387, No. 1-2, 291-320 (2023). MSC: 11A55 11F20 11K50 11J25 PDFBibTeX XMLCite \textit{P. Minelli} et al., Math. Ann. 387, No. 1--2, 291--320 (2023; Zbl 07735154) Full Text: DOI arXiv
Barrios, Alexander J. Lower bounds for the modified Szpiro ratio. (English) Zbl 07732759 Acta Arith. 208, No. 1, 51-68 (2023). MSC: 11G05 11D75 11J25 PDFBibTeX XMLCite \textit{A. J. Barrios}, Acta Arith. 208, No. 1, 51--68 (2023; Zbl 07732759) Full Text: DOI arXiv
Huicochea, Mario; Montejano, Amanda Erdős-Ginzburg-Ziv type generalizations for linear equations and linear inequalities in three variables. (English) Zbl 1519.05242 Australas. J. Comb. 86, Part 3, 430-441 (2023). MSC: 05D10 11B75 11B50 11D75 PDFBibTeX XMLCite \textit{M. Huicochea} and \textit{A. Montejano}, Australas. J. Comb. 86, Part 3, 430--441 (2023; Zbl 1519.05242) Full Text: arXiv Link
Açikel, Abdullah; Irmak, Nurettin; Szalay, László The \(k\)-generalized Lucas numbers close to a power of 2. (English) Zbl 07729716 Math. Slovaca 73, No. 4, 871-882 (2023). Reviewer: Clemens Fuchs (Salzburg) MSC: 11J86 11B39 11D75 PDFBibTeX XMLCite \textit{A. Açikel} et al., Math. Slovaca 73, No. 4, 871--882 (2023; Zbl 07729716) Full Text: DOI
Zhou, Yuxuan Sums of multiplicative coefficients twisted by Frobenius traces. (English) Zbl 1528.11073 Lith. Math. J. 63, No. 2, 241-248 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L07 11F30 11G20 11J25 11J86 PDFBibTeX XMLCite \textit{Y. Zhou}, Lith. Math. J. 63, No. 2, 241--248 (2023; Zbl 1528.11073) Full Text: DOI
Elizeche, Edgar Federico; Tripathi, Amitabha On proportionally modular numerical semigroups of embedding dimension three. (English) Zbl 1521.20130 Ramanujan J. 61, No. 4, 1197-1211 (2023). MSC: 20M14 PDFBibTeX XMLCite \textit{E. F. Elizeche} and \textit{A. Tripathi}, Ramanujan J. 61, No. 4, 1197--1211 (2023; Zbl 1521.20130) Full Text: DOI
Allaart, Pieter; Jackson, Stephen; Jones, Taylor; Lambert, David On the existence of numbers with matching continued fraction and base \(b\) expansions. (English) Zbl 07720073 Monatsh. Math. 202, No. 1, 1-30 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11A63 11A55 11D75 11J86 28A78 PDFBibTeX XMLCite \textit{P. Allaart} et al., Monatsh. Math. 202, No. 1, 1--30 (2023; Zbl 07720073) Full Text: DOI arXiv
Le, Giang A Wirsing-type theorem for numerically equivalent divisors. (English) Zbl 07714062 Kodai Math. J. 46, No. 2, 228-241 (2023). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11J87 11J97 11J25 PDFBibTeX XMLCite \textit{G. Le}, Kodai Math. J. 46, No. 2, 228--241 (2023; Zbl 07714062) Full Text: DOI Link
Frączyk, Mikołaj; Pham, Lam L. Bottom of the length spectrum of arithmetic orbifolds. (English) Zbl 07709419 Trans. Am. Math. Soc. 376, No. 7, 4745-4764 (2023). Reviewer: Mikhail Belolipetsky (Rio de Janeiro) MSC: 22E40 11D75 11F06 11R06 20G30 PDFBibTeX XMLCite \textit{M. Frączyk} and \textit{L. L. Pham}, Trans. Am. Math. Soc. 376, No. 7, 4745--4764 (2023; Zbl 07709419) Full Text: DOI arXiv
Kleinbock, Dmitry; Skenderi, Mishel Inhomogeneous Diophantine approximation for generic homogeneous functions. (English) Zbl 07704102 Int. J. Number Theory 19, No. 6, 1269-1293 (2023). MSC: 11D75 11J54 11J83 11H06 PDFBibTeX XMLCite \textit{D. Kleinbock} and \textit{M. Skenderi}, Int. J. Number Theory 19, No. 6, 1269--1293 (2023; Zbl 07704102) Full Text: DOI arXiv
Dimitrov, S. I. A ternary Diophantine inequality by primes near to squares. (English) Zbl 1511.11065 J. Ramanujan Math. Soc. 38, No. 1, 1-13 (2023). MSC: 11J25 11L07 PDFBibTeX XMLCite \textit{S. I. Dimitrov}, J. Ramanujan Math. Soc. 38, No. 1, 1--13 (2023; Zbl 1511.11065) Full Text: arXiv Link
Baker, Roger Diophantine approximation with smooth numbers. (English) Zbl 07690249 Ramanujan J. 61, No. 1, 49-54 (2023). Reviewer: Michael A. Bennett (Vancouver) MSC: 11J25 11L07 PDFBibTeX XMLCite \textit{R. Baker}, Ramanujan J. 61, No. 1, 49--54 (2023; Zbl 07690249) Full Text: DOI arXiv
Hattori, Toshiaki Singular matrices and geometry at infinity of products of symmetric spaces. (English) Zbl 07684373 J. Math. Soc. Japan 75, No. 2, 367-415 (2023). Reviewer: István Gaál (Debrecen) MSC: 11J25 53C35 PDFBibTeX XMLCite \textit{T. Hattori}, J. Math. Soc. Japan 75, No. 2, 367--415 (2023; Zbl 07684373) Full Text: DOI
Champagne, Jérémy; Roy, Damien Diophantine approximation with constraints. (English) Zbl 1523.11125 Acta Arith. 207, No. 1, 57-99 (2023). Reviewer: Anton Shutov (Vladimir) MSC: 11J13 11H50 11J25 PDFBibTeX XMLCite \textit{J. Champagne} and \textit{D. Roy}, Acta Arith. 207, No. 1, 57--99 (2023; Zbl 1523.11125) Full Text: DOI arXiv
Liu, Huafeng The values of general quadratic forms at prime arguments. (English) Zbl 07683424 Monatsh. Math. 201, No. 2, 465-482 (2023). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11P32 11P55 11D75 PDFBibTeX XMLCite \textit{H. Liu}, Monatsh. Math. 201, No. 2, 465--482 (2023; Zbl 07683424) 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). Reviewer: Michel Waldschmidt (Paris) MSC: 11J25 11J61 20G35 14L30 14G12 PDFBibTeX XMLCite \textit{Y. Lazar}, Ann. Fenn. Math. 48, No. 1, 187--204 (2023; Zbl 07669208) Full Text: DOI arXiv
Mu, Quanwu; Gao, Zhipeng A note on the exceptional set for Diophantine approximation with mixed powers of primes. (English) Zbl 1510.11097 Ramanujan J. 60, No. 2, 551-570 (2023). MSC: 11D75 11P32 11P55 PDFBibTeX XMLCite \textit{Q. Mu} and \textit{Z. Gao}, Ramanujan J. 60, No. 2, 551--570 (2023; Zbl 1510.11097) Full Text: DOI
Li, Boyang; Wang, Yuchao Diophantine approximation with prime variables and mixed powers. (English) Zbl 07659057 Ramanujan J. 60, No. 2, 371-389 (2023). Reviewer: Guangshi Lü (Jinan) MSC: 11D75 11P32 11N36 PDFBibTeX XMLCite \textit{B. Li} and \textit{Y. Wang}, Ramanujan J. 60, No. 2, 371--389 (2023; Zbl 07659057) Full Text: DOI
Cheng, Bin; Sakellaris, Zisis N. Near-resonance approximation of rotating Navier-Stokes equations. (English) Zbl 1510.35206 Nonlinearity 36, No. 4, 2074-2127 (2023). MSC: 35Q30 76D05 76U60 35B34 35A01 35A02 86A05 11D75 33E05 42B37 PDFBibTeX XMLCite \textit{B. Cheng} and \textit{Z. N. Sakellaris}, Nonlinearity 36, No. 4, 2074--2127 (2023; Zbl 1510.35206) Full Text: DOI arXiv
Joseph, Elio Upper bounds and spectrum for approximation exponents for subspaces of \(\mathbb{R}^n\). (English. French summary) Zbl 1517.11075 J. Théor. Nombres Bordx. 34, No. 3, 827-850 (2023). Reviewer: István Gaál (Debrecen) MSC: 11J13 11J25 PDFBibTeX XMLCite \textit{E. Joseph}, J. Théor. Nombres Bordx. 34, No. 3, 827--850 (2023; Zbl 1517.11075) Full Text: DOI arXiv
Vukusic, Ingrid; Ziegler, Volker On a family of unit equations over simplest cubic fields. (English. French summary) Zbl 1516.11042 J. Théor. Nombres Bordx. 34, No. 3, 705-718 (2023). Reviewer: Anitha Srinivasan (Madrid) MSC: 11D61 11D75 11J86 PDFBibTeX XMLCite \textit{I. Vukusic} and \textit{V. Ziegler}, J. Théor. Nombres Bordx. 34, No. 3, 705--718 (2023; Zbl 1516.11042) Full Text: DOI arXiv
Nathanson, Melvyn B. Underapproximation by Egyptian fractions. (English) Zbl 1522.11022 J. Number Theory 242, 208-234 (2023). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11D68 11A67 11D72 11D75 11D85 PDFBibTeX XMLCite \textit{M. B. Nathanson}, J. Number Theory 242, 208--234 (2023; Zbl 1522.11022) Full Text: DOI arXiv
Barrios, Alexander J. Good elliptic curves with a specified torsion subgroup. (English) Zbl 1505.11085 J. Number Theory 242, 21-43 (2023). Reviewer: Noburo Ishii (Kyoto) MSC: 11G05 11D75 11J25 PDFBibTeX XMLCite \textit{A. J. Barrios}, J. Number Theory 242, 21--43 (2023; Zbl 1505.11085) Full Text: DOI arXiv
Garcia-Fritz, Natalia; Pasten, Hector A criterion for non-density of integral points. arXiv:2311.17701 Preprint, arXiv:2311.17701 [math.NT] (2023). MSC: 14G05 11J25 11J97 BibTeX Cite \textit{N. Garcia-Fritz} and \textit{H. Pasten}, ``A criterion for non-density of integral points'', Preprint, arXiv:2311.17701 [math.NT] (2023) Full Text: arXiv OA License
Samsonadze, Eteri Formulae for the number of non-negative integer solutions of linear Diophantine equation and inequality. arXiv:2310.17382 Preprint, arXiv:2310.17382 [math.NT] (2023). MSC: 11D45 11D04 11D75 BibTeX Cite \textit{E. Samsonadze}, ``Formulae for the number of non-negative integer solutions of linear Diophantine equation and inequality'', Preprint, arXiv:2310.17382 [math.NT] (2023) Full Text: arXiv OA License
Kamber, Amitay; Varjú, Péter P. Lifting all elements in \(\mathrm{SL}_n(\mathbb{Z}/q\mathbb{Z})\). arXiv:2310.10269 Preprint, arXiv:2310.10269 [math.NT] (2023). MSC: 11F06 11J25 20H05 BibTeX Cite \textit{A. Kamber} and \textit{P. P. Varjú}, ``Lifting all elements in $\mathrm{SL}_n(\mathbb{Z}/q\mathbb{Z})$'', Preprint, arXiv:2310.10269 [math.NT] (2023) Full Text: arXiv OA License
Bera, Tanmoy; Das, Mithun Kumar; Mukhopadhyay, Anirban Poissonian pair correlation for higher dimensional real sequences. arXiv:2310.09541 Preprint, arXiv:2310.09541 [math.NT] (2023). MSC: 11K06 11J83 11M06 11J25 11J71 42B05 11L07 BibTeX Cite \textit{T. Bera} et al., ``Poissonian pair correlation for higher dimensional real sequences'', Preprint, arXiv:2310.09541 [math.NT] (2023) Full Text: arXiv OA License
Corvaja, Pietro; Demeio, Julian; Rapinchuk, Andrei; Ren, Jinbo; Zannier, Umberto Purely exponential parametrizations and their group-theoretic applications. arXiv:2308.14013 Preprint, arXiv:2308.14013 [math.NT] (2023). MSC: 11D75 20F69 BibTeX Cite \textit{P. Corvaja} et al., ``Purely exponential parametrizations and their group-theoretic applications'', Preprint, arXiv:2308.14013 [math.NT] (2023) Full Text: arXiv OA License
Fukshansky, Lenny; Hollanti, Camilla Euclidean lattices: theory and applications. arXiv:2307.08137 Preprint, arXiv:2307.08137 [math.NT] (2023). MSC: 11Hxx 11Exx 52Cxx 11J25 11P21 11T71 94A60 94B75 BibTeX Cite \textit{L. Fukshansky} and \textit{C. Hollanti}, ``Euclidean lattices: theory and applications'', Preprint, arXiv:2307.08137 [math.NT] (2023) Full Text: DOI arXiv OA License
Boudreau, Félix Baril; Holmes, Erik; Nguyen, Khoa D. Adelic perturbation of rational functions and applications. arXiv:2307.07910 Preprint, arXiv:2307.07910 [math.NT] (2023). MSC: 11J25 13F25 37P35 BibTeX Cite \textit{F. B. Boudreau} et al., ``Adelic perturbation of rational functions and applications'', Preprint, arXiv:2307.07910 [math.NT] (2023) Full Text: arXiv OA License
Srivastava, Rajula; Technau, Niclas Density of Rational Points Near Flat/Rough Hypersurfaces. arXiv:2305.01047 Preprint, arXiv:2305.01047 [math.NT] (2023). MSC: 11J83 11D75 42B99 BibTeX Cite \textit{R. Srivastava} and \textit{N. Technau}, ``Density of Rational Points Near Flat/Rough Hypersurfaces'', Preprint, arXiv:2305.01047 [math.NT] (2023) Full Text: arXiv OA License
Vaaler, Jeffrey D On the number of lattice points in a ball. arXiv:2303.14905 Preprint, arXiv:2303.14905 [math.NT] (2023). MSC: 11H06 11J25 11P21 BibTeX Cite \textit{J. D Vaaler}, ``On the number of lattice points in a ball'', Preprint, arXiv:2303.14905 [math.NT] (2023) Full Text: DOI arXiv OA License
Baier, Stephan; Lynch, Sean B. Large sieve inequalities with power moduli and Waring’s problem. arXiv:2303.07613 Preprint, arXiv:2303.07613 [math.NT] (2023). MSC: 11B57 11P05 11D75 11J71 11L03 11L07 BibTeX Cite \textit{S. Baier} and \textit{S. B. Lynch}, ``Large sieve inequalities with power moduli and Waring's problem'', Preprint, arXiv:2303.07613 [math.NT] (2023) Full Text: arXiv OA License
Bright, Curtis A New Lower Bound in the \(abc\) Conjecture. arXiv:2301.11056 Preprint, arXiv:2301.11056 [math.NT] (2023). MSC: 11D75 11H06 11G50 11N25 BibTeX Cite \textit{C. Bright}, ``A New Lower Bound in the $abc$ Conjecture'', Preprint, arXiv:2301.11056 [math.NT] (2023) Full Text: DOI arXiv OA License
Alvarez-Salazar, Elise; Barrios, Alexander J.; Henaku, Calvin; Soller, Summer On \(abc\) triples of the form \((1,c-1,c)\). arXiv:2301.01376 Preprint, arXiv:2301.01376 [math.NT] (2023). MSC: 11D75 11J25 BibTeX Cite \textit{E. Alvarez-Salazar} et al., ``On $abc$ triples of the form $(1,c-1,c)$'', Preprint, arXiv:2301.01376 [math.NT] (2023) Full Text: DOI arXiv OA License
Minelli, Paolo; Sourmelidis, Athanasios; Technau, Marc On restricted averages of Dedekind sums. arXiv:2301.00441 Preprint, arXiv:2301.00441 [math.NT] (2023). MSC: 11A55 11F20 11K50 11J25 BibTeX Cite \textit{P. Minelli} et al., ``On restricted averages of Dedekind sums'', Preprint, arXiv:2301.00441 [math.NT] (2023) Full Text: arXiv OA License
Varjú, Péter P. On the multiplicative group generated by two primes in \(\mathbb{Z} / Q \mathbb{Z}\). (English) Zbl 1509.11065 Avila, Artur (ed.) et al., Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 373-388 (2022). MSC: 11J25 11J87 11D75 PDFBibTeX XMLCite \textit{P. P. Varjú}, in: Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 373--388 (2022; Zbl 1509.11065) Full Text: DOI arXiv
Ghosh, Anish; Gorodnik, Alexander; Nevo, Amos Counting intrinsic Diophantine approximations in simple algebraic groups. (English) Zbl 1510.11096 Isr. J. Math. 251, No. 2, 443-466 (2022). Reviewer: Simon Kristensen (Aarhus) MSC: 11D75 11J25 PDFBibTeX XMLCite \textit{A. Ghosh} et al., Isr. J. Math. 251, No. 2, 443--466 (2022; Zbl 1510.11096) Full Text: DOI arXiv
Bayramoglu, M.; Jabbarov, I. Sh.; Ismailova, L. G. Relationship between the extremality of a manifold and that of an affine image of the topological product of its several copies. (English. Russian original) Zbl 1508.11078 Math. Notes 112, No. 6, 826-830 (2022); translation from Mat. Zametki 112, No. 6, 803-809 (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11J83 11J25 PDFBibTeX XMLCite \textit{M. Bayramoglu} et al., Math. Notes 112, No. 6, 826--830 (2022; Zbl 1508.11078); translation from Mat. Zametki 112, No. 6, 803--809 (2022) Full Text: DOI
Corvaja, Pietro; Demeio, Julian L.; Rapinchuk, Andrei S.; Ren, Jinbo; Zannier, Umberto M. Bounded generation by semi-simple elements: quantitative results. (Engendrement borné par éléments semi-simples: résultats quantitatifs.) (English. French summary) Zbl 1519.11016 C. R., Math., Acad. Sci. Paris 360, 1249-1255 (2022). Reviewer: Clemens Fuchs (Salzburg) MSC: 11D75 11F06 11J25 11J87 PDFBibTeX XMLCite \textit{P. Corvaja} et al., C. R., Math., Acad. Sci. Paris 360, 1249--1255 (2022; Zbl 1519.11016) Full Text: DOI arXiv
Lazar, Youssef Explicit solutions to the Oppenheim conjecture for indefinite ternary diagonal forms. (English) Zbl 07628560 Acta Arith. 205, No. 4, 287-307 (2022). Reviewer: Ranjeet Sehmi (Chandigarh) MSC: 11D75 11J25 11J70 PDFBibTeX XMLCite \textit{Y. Lazar}, Acta Arith. 205, No. 4, 287--307 (2022; Zbl 07628560) Full Text: DOI arXiv
Blomer, Valentin; Harcos, Gergely; Maga, Péter; Milićević, Djordje Beyond the spherical sup-norm problem. (English. French summary) Zbl 1508.11062 J. Math. Pures Appl. (9) 168, 1-64 (2022). Reviewer: Ivan Matić (Osijek) MSC: 11F72 11F41 11F70 11J25 22E30 43A90 PDFBibTeX XMLCite \textit{V. Blomer} et al., J. Math. Pures Appl. (9) 168, 1--64 (2022; Zbl 1508.11062) Full Text: DOI arXiv
Liu, Yuhui On a ternary Diophantine inequality over primes. (English) Zbl 1498.11204 Ramanujan J. 59, No. 4, 1287-1306 (2022). MSC: 11P55 11J25 PDFBibTeX XMLCite \textit{Y. Liu}, Ramanujan J. 59, No. 4, 1287--1306 (2022; Zbl 1498.11204) Full Text: DOI
Cslovjecsek, Jana; Malikiosis, Romanos Diogenes; Naszódi, Márton; Schymura, Matthias Computing the covering radius of a polytope with an application to lonely runners. (English) Zbl 1524.11131 Combinatorica 42, No. 4, 463-490 (2022). Reviewer: Marek Lassak (Bydgoszcz) MSC: 11H31 52C17 11J25 52B55 PDFBibTeX XMLCite \textit{J. Cslovjecsek} et al., Combinatorica 42, No. 4, 463--490 (2022; Zbl 1524.11131) Full Text: DOI arXiv
Dimitrov, S. I. Diophantine approximation by Piatetski-Shapiro primes. (English) Zbl 1517.11076 Indian J. Pure Appl. Math. 53, No. 4, 875-883 (2022). MSC: 11J25 11P32 11D75 PDFBibTeX XMLCite \textit{S. I. Dimitrov}, Indian J. Pure Appl. Math. 53, No. 4, 875--883 (2022; Zbl 1517.11076) Full Text: DOI arXiv
Si, Duc Quang Quantitative subspace theorem and general form of second main theorem for higher degree polynomials. (English) Zbl 1504.11078 Manuscr. Math. 169, No. 3-4, 519-547 (2022). Reviewer: István Gaál (Debrecen) MSC: 11J68 32H30 11J25 11J97 32A22 PDFBibTeX XMLCite \textit{D. Q. Si}, Manuscr. Math. 169, No. 3--4, 519--547 (2022; Zbl 1504.11078) Full Text: DOI arXiv
Hattori, Toshiaki Singular vectors and geometry at infinity of products of hyperbolic spaces. (English. French summary) Zbl 1498.11159 Bull. Soc. Math. Fr. 150, No. 1, 17-52 (2022). MSC: 11J25 53C35 PDFBibTeX XMLCite \textit{T. Hattori}, Bull. Soc. Math. Fr. 150, No. 1, 17--52 (2022; Zbl 1498.11159) Full Text: DOI
Dimitrov, Stoyan A ternary Diophantine inequality by primes with one of the form \(p= x^2 +y^2 +1\). (English) Zbl 1497.11088 Ramanujan J. 59, No. 2, 571-607 (2022). MSC: 11D75 11L07 11L20 11P32 PDFBibTeX XMLCite \textit{S. Dimitrov}, Ramanujan J. 59, No. 2, 571--607 (2022; Zbl 1497.11088) Full Text: DOI arXiv
Jindal, Ankita; Laishram, Shanta Families of Laguerre polynomials with alternating group as Galois group. (English) Zbl 1512.11085 J. Number Theory 241, 387-429 (2022). Reviewer: Florian Luca (Johannesburg) MSC: 11R32 11C08 33C45 11D75 PDFBibTeX XMLCite \textit{A. Jindal} and \textit{S. Laishram}, J. Number Theory 241, 387--429 (2022; Zbl 1512.11085) Full Text: DOI
Baier, Stephan; Molla, Esrafil Ali [Ganguly, Arijit] Diophantine approximation with prime restriction in function fields (with an appendix by Arijit Ganguly). (English) Zbl 1501.11075 J. Number Theory 241, 57-90 (2022). Reviewer: Manuel Hauke (Graz) MSC: 11J71 11R44 11R59 11J25 11L20 11L40 11M38 11N05 11N13 PDFBibTeX XMLCite \textit{S. Baier} and \textit{E. A. Molla}, J. Number Theory 241, 57--90 (2022; Zbl 1501.11075) Full Text: DOI
Mihăilescu, Preda; Rassias, Michael T. Double exponential lower bounds for possible solutions in the second case of the Fermat last theorem. (English) Zbl 1502.11038 J. Number Theory 238, 1063-1080 (2022). Reviewer: Ilker Inam (Bilecik) MSC: 11D61 11D75 PDFBibTeX XMLCite \textit{P. Mihăilescu} and \textit{M. T. Rassias}, J. Number Theory 238, 1063--1080 (2022; Zbl 1502.11038) Full Text: DOI arXiv
Ei, Hiromi; Nakada, Hitoshi; Natsui, Rie On the existence of the Legendre constants for some complex continued fraction expansions over imaginary quadratic fields. (English) Zbl 1504.11077 J. Number Theory 238, 106-132 (2022). Reviewer: Vijay Yadav (Virar) MSC: 11J25 11J70 30B70 11K50 40A15 PDFBibTeX XMLCite \textit{H. Ei} et al., J. Number Theory 238, 106--132 (2022; Zbl 1504.11077) Full Text: DOI
Si Duc Quang Generalizations of degeneracy second main theorem and Schmidt’s subspace theorem. (English) Zbl 1501.11073 Pac. J. Math. 318, No. 1, 153-188 (2022). Reviewer: István Gaál (Debrecen) MSC: 11J68 32H30 11J25 30D35 32A22 PDFBibTeX XMLCite \textit{Si Duc Quang}, Pac. J. Math. 318, No. 1, 153--188 (2022; Zbl 1501.11073) Full Text: DOI arXiv
Rifford, Ludovic On the time for a runner to get lonely. (English) Zbl 1492.11111 Acta Appl. Math. 180, Paper No. 15, 66 p. (2022). MSC: 11J13 11J25 52C07 52B55 PDFBibTeX XMLCite \textit{L. Rifford}, Acta Appl. Math. 180, Paper No. 15, 66 p. (2022; Zbl 1492.11111) Full Text: DOI arXiv
Zhuravlev, V. G. Matrix-fractional invariance of Diophantine systems of linear forms. (English. Russian original) Zbl 1490.11070 J. Math. Sci., New York 264, No. 2, 103-121 (2022); translation from Zap. Nauchn. Semin. POMI 502, 5-31 (2021). MSC: 11J70 11K50 11J13 11J25 PDFBibTeX XMLCite \textit{V. G. Zhuravlev}, J. Math. Sci., New York 264, No. 2, 103--121 (2022; Zbl 1490.11070); translation from Zap. Nauchn. Semin. POMI 502, 5--31 (2021) Full Text: DOI
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 PDFBibTeX XMLCite \textit{P. Bengoechea}, Math. Proc. Camb. Philos. Soc. 172, No. 3, 617--626 (2022; Zbl 1498.11099) Full Text: DOI
Tichy, R.; Vukusic, I.; Yang, D.; Ziegler, V. On a variant of Pillai’s problem with transcendental numbers. (English) Zbl 1513.11122 Acta Math. Hung. 166, No. 2, 650-666 (2022); correction ibid. 167, No. 1, 364 (2022). Reviewer: Günter Lettl (Graz) MSC: 11D75 11D61 11D45 PDFBibTeX XMLCite \textit{R. Tichy} et al., Acta Math. Hung. 166, No. 2, 650--666 (2022; Zbl 1513.11122) Full Text: DOI arXiv
Capuano, Laura; Turchet, Amos Lang-Vojta conjecture over function fields for surfaces dominating \(\mathbb{G}_m^2\). (English) Zbl 1498.14061 Eur. J. Math. 8, No. 2, 573-610 (2022). MSC: 14G40 14G05 11J25 11G50 PDFBibTeX XMLCite \textit{L. Capuano} and \textit{A. Turchet}, Eur. J. Math. 8, No. 2, 573--610 (2022; Zbl 1498.14061) Full Text: DOI arXiv
Gonçalves, Felipe; Ramos, João P. G. Bounds for the lonely runner problems via linear programming. (English) Zbl 1489.11112 Bull. Braz. Math. Soc. (N.S.) 53, No. 2, 595-603 (2022). MSC: 11K60 42A05 90C05 90C90 PDFBibTeX XMLCite \textit{F. Gonçalves} and \textit{J. P. G. Ramos}, Bull. Braz. Math. Soc. (N.S.) 53, No. 2, 595--603 (2022; Zbl 1489.11112) Full Text: DOI arXiv
Deng, Yu; Germain, Pierre; Guth, Larry; Myerson, Simon L. Rydin Strichartz estimates for the Schrödinger equation on non-rectangular two-dimensional tori. (English) Zbl 1498.35118 Am. J. Math. 144, No. 3, 701-745 (2022). Reviewer: Jiqiang Zheng (Beijing) MSC: 35B45 35A23 35Q41 PDFBibTeX XMLCite \textit{Y. Deng} et al., Am. J. Math. 144, No. 3, 701--745 (2022; Zbl 1498.35118) Full Text: arXiv Link
Schindler, Damaris; Yamagishi, Shuntaro Density of rational points near/on compact manifolds with certain curvature conditions. (English) Zbl 1498.11104 Adv. Math. 403, Article ID 108358, 36 p. (2022). Reviewer: Simon Kristensen (Aarhus) MSC: 11D75 11J13 11J25 11J83 11K60 PDFBibTeX XMLCite \textit{D. Schindler} and \textit{S. Yamagishi}, Adv. Math. 403, Article ID 108358, 36 p. (2022; Zbl 1498.11104) Full Text: DOI arXiv
Dimitrov, Stoyan Ivanov The quaternary Piatetski-Shapiro inequality with one prime of the form \(p = x^2 + y^2 + 1\). (English) Zbl 1496.11060 Lith. Math. J. 62, No. 2, 170-191 (2022). Reviewer: Huafeng Liu (Jinan) MSC: 11D75 11L07 11L20 11P32 PDFBibTeX XMLCite \textit{S. I. Dimitrov}, Lith. Math. J. 62, No. 2, 170--191 (2022; Zbl 1496.11060) Full Text: DOI arXiv
Le, Giang Schmidt’s subspace theorem for moving hypersurface targets in subgeneral position in projective varieties. (English) Zbl 1493.11109 Acta Math. Vietnam. 47, No. 2, 457-474 (2022). Reviewer: István Gaál (Debrecen) MSC: 11J68 11J25 PDFBibTeX XMLCite \textit{G. Le}, Acta Math. Vietnam. 47, No. 2, 457--474 (2022; Zbl 1493.11109) Full Text: DOI
Wang, Qiong; Han, Qi; Chen, Wei On generalized Fermat Diophantine functional and partial differential equations in \(\mathbf{C}^2\). (English) Zbl 1487.32016 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 96, 16 p. (2022). MSC: 32A20 32A22 35F20 PDFBibTeX XMLCite \textit{Q. Wang} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 3, Paper No. 96, 16 p. (2022; Zbl 1487.32016) Full Text: DOI arXiv
Peluse, Sarah; Prendiville, Sean A polylogarithmic bound in the nonlinear Roth theorem. (English) Zbl 1508.11042 Int. Math. Res. Not. 2022, No. 8, 5658-5684 (2022). Reviewer: Noureddine Daili (Sétif) MSC: 11D75 11B05 11B25 PDFBibTeX XMLCite \textit{S. Peluse} and \textit{S. Prendiville}, Int. Math. Res. Not. 2022, No. 8, 5658--5684 (2022; Zbl 1508.11042) Full Text: DOI arXiv Link
Győry, Kálmán \(S\)-unit equations and Masser’s ABC conjecture in algebraic number fields. (English) Zbl 1513.11103 Publ. Math. Debr. 100, No. 3-4, 499-511 (2022). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D57 11D61 PDFBibTeX XMLCite \textit{K. Győry}, Publ. Math. Debr. 100, No. 3--4, 499--511 (2022; Zbl 1513.11103) Full Text: DOI
Zhu, Li Diophantine inequality by unlike powers of primes. (English) Zbl 1499.11301 Chin. Ann. Math., Ser. B 43, No. 1, 125-136 (2022). MSC: 11P32 11D75 PDFBibTeX XMLCite \textit{L. Zhu}, Chin. Ann. Math., Ser. B 43, No. 1, 125--136 (2022; Zbl 1499.11301) Full Text: DOI
Akhtari, Shabnam; Vaaler, Jeffrey D. Independent relative units of low height. (English) Zbl 1494.11057 Acta Arith. 202, No. 4, 389-401 (2022). Reviewer: Riccardo Pengo (Lyon) MSC: 11J25 11R04 46B04 PDFBibTeX XMLCite \textit{S. Akhtari} and \textit{J. D. Vaaler}, Acta Arith. 202, No. 4, 389--401 (2022; Zbl 1494.11057) Full Text: DOI arXiv
Joseph, Elio On the approximation exponents for subspaces of \(\mathbb{R}^n\). (English) Zbl 1502.11078 Mosc. J. Comb. Number Theory 11, No. 1, 21-35 (2022). Reviewer: Tanguy Rivoal (Grenoble) MSC: 11J13 11J25 PDFBibTeX XMLCite \textit{E. Joseph}, Mosc. J. Comb. Number Theory 11, No. 1, 21--35 (2022; Zbl 1502.11078) Full Text: DOI arXiv
Buterus, P.; Götze, F.; Hille, T.; Margulis, G. Distribution of values of quadratic forms at integral points. (English) Zbl 1487.11091 Invent. Math. 227, No. 3, 857-961 (2022). Reviewer: Jayadev Athreya (Seattle) MSC: 11P21 11D75 PDFBibTeX XMLCite \textit{P. Buterus} et al., Invent. Math. 227, No. 3, 857--961 (2022; Zbl 1487.11091) Full Text: DOI arXiv
Buterus, Paul; Götze, Friedrich; Hille, Thomas On small values of indefinite diagonal quadratic forms at integer points in at least five variables. (English) Zbl 1492.11078 Trans. Am. Math. Soc., Ser. B 9, 1-34 (2022). Reviewer: Jayadev Athreya (Seattle) MSC: 11D75 11J25 PDFBibTeX XMLCite \textit{P. Buterus} et al., Trans. Am. Math. Soc., Ser. B 9, 1--34 (2022; Zbl 1492.11078) Full Text: DOI arXiv
Liu, Huafeng; Yue, Jun Diophantine approximation over primes with different powers. (English) Zbl 1510.11145 Appl. Math. Comput. 421, Article ID 126940, 11 p. (2022). MSC: 11P55 11P32 11D75 PDFBibTeX XMLCite \textit{H. Liu} and \textit{J. Yue}, Appl. Math. Comput. 421, Article ID 126940, 11 p. (2022; Zbl 1510.11145) Full Text: DOI
Bengoechea, Paloma Thue inequalities with few coefficients. (English) Zbl 1496.11056 Int. Math. Res. Not. 2022, No. 2, 1217-1244 (2022). Reviewer: Günter Lettl (Graz) MSC: 11D59 11D75 PDFBibTeX XMLCite \textit{P. Bengoechea}, Int. Math. Res. Not. 2022, No. 2, 1217--1244 (2022; Zbl 1496.11056) Full Text: DOI arXiv
Liu, Chunhui Control of the non-geometrically integral reductions. (English. French summary) Zbl 1497.11173 Int. J. Number Theory 18, No. 1, 47-60 (2022). MSC: 11G50 11D75 11R56 14G25 14G40 PDFBibTeX XMLCite \textit{C. Liu}, Int. J. Number Theory 18, No. 1, 47--60 (2022; Zbl 1497.11173) Full Text: DOI arXiv
Corvaja, Pietro; Levin, Aaron; Zannier, Umberto Intersections in subvarieties of \(\mathbb{G}_{\mathrm{m}}^l\) and applications to lacunary polynomials. (English) Zbl 1490.14098 Trans. Am. Math. Soc. 375, No. 1, 71-86 (2022). Reviewer: David McKinnon (Waterloo) MSC: 14R99 14D07 11J25 PDFBibTeX XMLCite \textit{P. Corvaja} et al., Trans. Am. Math. Soc. 375, No. 1, 71--86 (2022; Zbl 1490.14098) Full Text: DOI
Fang, Jason; Mosunov, Anton A Lower Bound for the Area of the Fundamental Region of a Binary Form. arXiv:2212.08752 Preprint, arXiv:2212.08752 [math.NT] (2022). MSC: 11D75 BibTeX Cite \textit{J. Fang} and \textit{A. Mosunov}, ``A Lower Bound for the Area of the Fundamental Region of a Binary Form'', Preprint, arXiv:2212.08752 [math.NT] (2022) Full Text: arXiv OA License
Quang, Si Duc Some generalizations of Schmidt’s subspace theorem. arXiv:2212.02471 Preprint, arXiv:2212.02471 [math.NT] (2022). MSC: 11J68 11J25 11J97 32A22 BibTeX Cite \textit{S. D. Quang}, ``Some generalizations of Schmidt's subspace theorem'', Preprint, arXiv:2212.02471 [math.NT] (2022) Full Text: arXiv OA License
Pasten, Hector On the arithmetic case of Vojta’s conjecture with truncated counting functions. arXiv:2205.07841 Preprint, arXiv:2205.07841 [math.NT] (2022). MSC: 11D75 11J86 11J97 BibTeX Cite \textit{H. Pasten}, ``On the arithmetic case of Vojta's conjecture with truncated counting functions'', Preprint, arXiv:2205.07841 [math.NT] (2022) Full Text: arXiv OA License
Baier, Stephan; Bhandari, Arkaprava WITHDRAWN: Quantitative Oppenheim Conjecture for Quadratic Forms in 5 Variables over Function Fields. arXiv:2202.07236 Preprint, arXiv:2202.07236 [math.NT] (2022); retraction notice ibid. MSC: 11H50 11H55 11J25 11L03 11L05 11L07 11R58 BibTeX Cite \textit{S. Baier} and \textit{A. Bhandari}, ``WITHDRAWN: Quantitative Oppenheim Conjecture for Quadratic Forms in 5 Variables over Function Fields'', Preprint, arXiv:2202.07236 [math.NT] (2022); retraction notice ibid. Full Text: arXiv OA License
Mosunov, Anton On the area of the fundamental region of a binary form associated with algebraic trigonometric quantities. (English) Zbl 07738355 Mathematika 67, No. 2, 532-551 (2021). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11D75 11J25 33C45 51M25 PDFBibTeX XMLCite \textit{A. Mosunov}, Mathematika 67, No. 2, 532--551 (2021; Zbl 07738355) Full Text: DOI arXiv
Poulias, Constantinos Diophantine inequalities of fractional degree. (English) Zbl 07738328 Mathematika 67, No. 4, 949-980 (2021). MSC: 11D75 11D72 11P55 11L07 PDFBibTeX XMLCite \textit{C. Poulias}, Mathematika 67, No. 4, 949--980 (2021; Zbl 07738328) Full Text: DOI arXiv
Dimitrov, S. I. A logarithmic inequality involving prime numbers. (English) Zbl 1492.11112 Proc. Jangjeon Math. Soc. 24, No. 3, 403-416 (2021). MSC: 11J25 11P55 11L07 PDFBibTeX XMLCite \textit{S. I. Dimitrov}, Proc. Jangjeon Math. Soc. 24, No. 3, 403--416 (2021; Zbl 1492.11112) Full Text: DOI arXiv