Brüdern, Jörg; Wooley, Trevor D. On Waring’s problem: beyond Freĭman’s theorem. (English) Zbl 07808993 J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12820, 25 p. (2024). MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{J. Brüdern} and \textit{T. D. Wooley}, J. Lond. Math. Soc., II. Ser. 109, No. 1, Article ID e12820, 25 p. (2024; Zbl 07808993) Full Text: DOI arXiv OA License
Muangma, Kunlathida; Rodtes, Kijti Matrices over commutative rings as sums of higher powers. (English) Zbl 07808508 Linear Multilinear Algebra 72, No. 2, 296-324 (2024). MSC: 11R04 11R11 11R29 11C20 15B33 PDFBibTeX XMLCite \textit{K. Muangma} and \textit{K. Rodtes}, Linear Multilinear Algebra 72, No. 2, 296--324 (2024; Zbl 07808508) Full Text: DOI
Iosevich, Alex; Langowski, Bartosz; Mirek, Mariusz; Szarek, Tomasz Z. Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres. (English) Zbl 07802413 Math. Ann. 388, No. 2, 2041-2120 (2024). MSC: 11P05 37A99 42B25 PDFBibTeX XMLCite \textit{A. Iosevich} et al., Math. Ann. 388, No. 2, 2041--2120 (2024; Zbl 07802413) Full Text: DOI arXiv
Li, Jinjiang; Xue, Fei; Zhang, Min A quaternary Diophantine inequality with prime numbers of a special form. (English) Zbl 07796578 Ramanujan J. 63, No. 2, 259-291 (2024). MSC: 11L07 11L20 11P05 11P32 11N36 PDFBibTeX XMLCite \textit{J. Li} et al., Ramanujan J. 63, No. 2, 259--291 (2024; Zbl 07796578) Full Text: DOI
Banerjee, Soumyarup On a conjecture of Sun about sums of restricted squares. (English) Zbl 07794613 J. Number Theory 256, 253-289 (2024). MSC: 11F37 11F11 11E25 11E45 11N36 11P05 PDFBibTeX XMLCite \textit{S. Banerjee}, J. Number Theory 256, 253--289 (2024; Zbl 07794613) Full Text: DOI arXiv
Zhu, Daniel G. A correction to a result of Chinburg and Henriksen on powers of integer polynomials. arXiv:2402.10121 Preprint, arXiv:2402.10121 [math.NT] (2024). MSC: 13F20 11C08 11P05 BibTeX Cite \textit{D. G. Zhu}, ``A correction to a result of Chinburg and Henriksen on powers of integer polynomials'', Preprint, arXiv:2402.10121 [math.NT] (2024) Full Text: arXiv OA License
Bruedern, Joerg; Wooley, Trevor D. Partitio Numerorum: sums of squares and higher powers. arXiv:2402.09537 Preprint, arXiv:2402.09537 [math.NT] (2024). MSC: 11P55 11P05 BibTeX Cite \textit{J. Bruedern} and \textit{T. D. Wooley}, ``Partitio Numerorum: sums of squares and higher powers'', Preprint, arXiv:2402.09537 [math.NT] (2024) Full Text: arXiv OA License
Campbell, Geoffrey B. A rational is a sum of four 4th and four 5th powers. (English) Zbl 07819023 Aust. Math. Soc. Gaz. 50, No. 3, 117-119 (2023). MSC: 11P05 00A08 PDFBibTeX XMLCite \textit{G. B. Campbell}, Aust. Math. Soc. Gaz. 50, No. 3, 117--119 (2023; Zbl 07819023)
Rakhmonov, Zarullo Khusenovich Generalization of Waring’s problem for nine almost proportional cubes. (Russian. English summary) Zbl 07815802 Chebyshevskiĭ Sb. 24, No. 3(89), 71-94 (2023). MSC: 11P05 11P55 11L07 PDFBibTeX XMLCite \textit{Z. K. Rakhmonov}, Chebyshevskiĭ Sb. 24, No. 3(89), 71--94 (2023; Zbl 07815802) Full Text: DOI MNR
Huang, Enxun On pairs of Goldbach-Linnik equations with unequal powers of primes. (English) Zbl 07790570 Czech. Math. J. 73, No. 4, 1219-1228 (2023). MSC: 11P32 11P05 11P55 PDFBibTeX XMLCite \textit{E. Huang}, Czech. Math. J. 73, No. 4, 1219--1228 (2023; Zbl 07790570) Full Text: DOI
Han, X.; Liu, H. Slim exceptional sets of Waring-Goldbach problems involving squares and cubes of primes. (English. Russian original) Zbl 07787329 Sb. Math. 214, No. 5, 744-756 (2023); translation from Mat. Sb. 214, No. 5, 140-152 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11P05 11P55 PDFBibTeX XMLCite \textit{X. Han} and \textit{H. Liu}, Sb. Math. 214, No. 5, 744--756 (2023; Zbl 07787329); translation from Mat. Sb. 214, No. 5, 140--152 (2023) Full Text: DOI MNR
Vavilov, N. A. Computers as a novel mathematical reality. II: Waring’s problem. (English) Zbl 07786634 Dokl. Math. 107, No. 3, 143-172 (2023). MSC: 11-03 11P05 11P55 11D85 PDFBibTeX XMLCite \textit{N. A. Vavilov}, Dokl. Math. 107, No. 3, 143--172 (2023; Zbl 07786634) Full Text: DOI
de la Bretèche, Régis; Tenenbaum, Gérald Two upper bounds for the Erdős-Hooley delta-function. (English) Zbl 07786153 Sci. China, Math. 66, No. 12, 2683-2692 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11K65 PDFBibTeX XMLCite \textit{R. de la Bretèche} and \textit{G. Tenenbaum}, Sci. China, Math. 66, No. 12, 2683--2692 (2023; Zbl 07786153) Full Text: DOI arXiv
Zhu, Li On pairs of eight cubes of primes and powers of 2. (English) Zbl 07784972 Ramanujan J. 62, No. 4, 935-951 (2023). MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{L. Zhu}, Ramanujan J. 62, No. 4, 935--951 (2023; Zbl 07784972) Full Text: DOI
Brüdern, Jörg; Wooley, Trevor D. On Waring’s problem for larger powers. (English) Zbl 07771193 J. Reine Angew. Math. 805, 115-142 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11P05 11P55 11J71 PDFBibTeX XMLCite \textit{J. Brüdern} and \textit{T. D. Wooley}, J. Reine Angew. Math. 805, 115--142 (2023; Zbl 07771193) Full Text: DOI arXiv
Ghidelli, Luca On gaps between sums of four fourth powers. (English) Zbl 07770417 Acta Arith. 208, No. 4, 295-324 (2023). Reviewer: Jean-Marc Deshouillers (Bordeaux) MSC: 11P05 11P55 11B05 PDFBibTeX XMLCite \textit{L. Ghidelli}, Acta Arith. 208, No. 4, 295--324 (2023; Zbl 07770417) Full Text: DOI arXiv
Han, Xue; Liu, Huafeng A pair of equations in eight prime cubes and powers of 2. (English) Zbl 07760889 Bull. Aust. Math. Soc. 108, No. 2, 244-253 (2023). Reviewer: Maurizio Laporta (Napoli) MSC: 11P32 11P05 11P55 PDFBibTeX XMLCite \textit{X. Han} and \textit{H. Liu}, Bull. Aust. Math. Soc. 108, No. 2, 244--253 (2023; Zbl 07760889) Full Text: DOI
Zhang, Min; Bai, Hongxin; Li, Jinjiang On the Waring-Goldbach problem for two squares and four cubes. (English) Zbl 1524.11177 Open Math. 21, Article ID 20220608, 21 p. (2023). MSC: 11P05 11P32 11P55 PDFBibTeX XMLCite \textit{M. Zhang} et al., Open Math. 21, Article ID 20220608, 21 p. (2023; Zbl 1524.11177) Full Text: DOI
Arias, Fabián; Borja, Jerson; Anaya, Samuel Counting integers representable as sums of \(k\)-th powers modulo \(n\). (English) Zbl 1525.11107 J. Integer Seq. 26, No. 8, Article 23.8.1, 17 p. (2023). MSC: 11P05 11D85 PDFBibTeX XMLCite \textit{F. Arias} et al., J. Integer Seq. 26, No. 8, Article 23.8.1, 17 p. (2023; Zbl 1525.11107) Full Text: Link
Paluszyński, Maciej; Zienkiewicz, Jacek On maximal function of discrete rough truncated Hilbert transforms. (English) Zbl 1523.42031 Ann. Mat. Pura Appl. (4) 202, No. 6, 2785-2801 (2023). MSC: 42B25 42B20 44A15 11P05 PDFBibTeX XMLCite \textit{M. Paluszyński} and \textit{J. Zienkiewicz}, Ann. Mat. Pura Appl. (4) 202, No. 6, 2785--2801 (2023; Zbl 1523.42031) Full Text: DOI arXiv OA License
Jakimczuk, Rafael Some questions on the distribution of prime gaps and some formulas involving prime gaps. (English) Zbl 1528.11102 Gulf J. Math. 15, No. 1, 7-41 (2023). MSC: 11P05 11B83 PDFBibTeX XMLCite \textit{R. Jakimczuk}, Gulf J. Math. 15, No. 1, 7--41 (2023; Zbl 1528.11102) Full Text: DOI
Chen, Gongrui On exceptional sets in the Waring-Goldbach problem for fifth powers. (English) Zbl 07739360 Ramanujan J. 62, No. 1, 329-346 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11P55 11P05 PDFBibTeX XMLCite \textit{G. Chen}, Ramanujan J. 62, No. 1, 329--346 (2023; Zbl 07739360) Full Text: DOI
Wiener, Michael J. The largest integer not the sum of distinct 8th powers. (English) Zbl 07732131 J. Integer Seq. 26, No. 5, Article 23.5.4, 19 p. (2023). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11B50 11P70 PDFBibTeX XMLCite \textit{M. J. Wiener}, J. Integer Seq. 26, No. 5, Article 23.5.4, 19 p. (2023; Zbl 07732131) Full Text: Link
Li, Jinjiang; Xue, Fei; Zhang, Min On the Waring-Goldbach problem for one square, four cubes and one biquadrate. (English) Zbl 07731652 Bull. Aust. Math. Soc. 107, No. 3, 416-431 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11P05 11P32 11P55 PDFBibTeX XMLCite \textit{J. Li} et al., Bull. Aust. Math. Soc. 107, No. 3, 416--431 (2023; Zbl 07731652) Full Text: DOI
Hajdu, L.; Tijdeman, R. The Diophantine equation \(f(x)=g(y)\) for polynomials with simple rational roots. (English) Zbl 07731122 J. Lond. Math. Soc., II. Ser. 108, No. 1, 309-339 (2023). MSC: 11N32 11B75 11D41 11P05 PDFBibTeX XMLCite \textit{L. Hajdu} and \textit{R. Tijdeman}, J. Lond. Math. Soc., II. Ser. 108, No. 1, 309--339 (2023; Zbl 07731122) Full Text: DOI arXiv
Wooley, Trevor D. Paucity problems and some relatives of Vinogradov’s mean value theorem. (English) Zbl 07725807 Math. Proc. Camb. Philos. Soc. 175, No. 2, 327-343 (2023). MSC: 11D45 11P05 PDFBibTeX XMLCite \textit{T. D. Wooley}, Math. Proc. Camb. Philos. Soc. 175, No. 2, 327--343 (2023; Zbl 07725807) Full Text: DOI arXiv
Jacob, Leif; Külshammer, Burkhard Congruences for sums of powers of an integer. (English) Zbl 07722738 Publ. Math. Debr. 103, No. 1-2, 97-113 (2023). Reviewer: Olivier Ramaré (Marseille) MSC: 11P05 11D85 11B13 PDFBibTeX XMLCite \textit{L. Jacob} and \textit{B. Külshammer}, Publ. Math. Debr. 103, No. 1--2, 97--113 (2023; Zbl 07722738) Full Text: DOI arXiv
Podestá, Ricardo A.; Videla, Denis E. Waring numbers over finite commutative local rings. (English) Zbl 07714282 Discrete Math. 346, No. 10, Article ID 113567, 22 p. (2023). MSC: 11P05 12E20 05C25 05C12 13A70 PDFBibTeX XMLCite \textit{R. A. Podestá} and \textit{D. E. Videla}, Discrete Math. 346, No. 10, Article ID 113567, 22 p. (2023; Zbl 07714282) Full Text: DOI arXiv
Murty, M. Ram; Sinha, Kaneenika An introduction to the circle method. (English) Zbl 07713442 Student Mathematical Library 104. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-7203-0/pbk; 978-1-4704-7424-9/ebook). xix, 257 p. (2023). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-01 11Pxx 11Dxx PDFBibTeX XMLCite \textit{M. R. Murty} and \textit{K. Sinha}, An introduction to the circle method. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 07713442) Full Text: DOI
Warren, Benjamin Lee Integers as sums of four tetrahedral numbers and eight pentatope numbers in one identity. (English) Zbl 1527.11073 Am. Math. Mon. 130, No. 6, 522 (2023). MSC: 11P05 PDFBibTeX XMLCite \textit{B. L. Warren}, Am. Math. Mon. 130, No. 6, 522 (2023; Zbl 1527.11073) Full Text: DOI
Mirek, Jarosław; Słomian, Wojciech; Wróbel, Błażej On the solution of Waring problem with a multiplicative error term: dimension-free estimates. (English) Zbl 07688421 Proc. Am. Math. Soc. 151, No. 8, 3365-3379 (2023). Reviewer: Victor Wang (Princeton) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{J. Mirek} et al., Proc. Am. Math. Soc. 151, No. 8, 3365--3379 (2023; Zbl 07688421) Full Text: DOI arXiv
Pliego, Javier On Waring’s problem in sums of three cubes for smaller powers. (English) Zbl 07687696 J. Aust. Math. Soc. 114, No. 3, 378-405 (2023). Reviewer: Temenoujka Peneva (Plovdiv) MSC: 11P05 11P55 11D85 PDFBibTeX XMLCite \textit{J. Pliego}, J. Aust. Math. Soc. 114, No. 3, 378--405 (2023; Zbl 07687696) Full Text: DOI arXiv
Casarotti, Alex; Mella, Massimiliano From non-defectivity to identifiability. (English) Zbl 07683503 J. Eur. Math. Soc. (JEMS) 25, No. 3, 913-931 (2023). MSC: 14-XX 15A69 15A72 11P05 14N05 PDFBibTeX XMLCite \textit{A. Casarotti} and \textit{M. Mella}, J. Eur. Math. Soc. (JEMS) 25, No. 3, 913--931 (2023; Zbl 07683503) Full Text: DOI arXiv
Wooley, Trevor D. Subconvexity in inhomogeneous Vinogradov systems. (English) Zbl 07673948 Q. J. Math. 74, No. 1, 389-418 (2023). Reviewer: Guangshi Lü (Jinan) MSC: 11P05 PDFBibTeX XMLCite \textit{T. D. Wooley}, Q. J. Math. 74, No. 1, 389--418 (2023; Zbl 07673948) Full Text: DOI arXiv
Hu, Liqun Two results on unlike powers of primes and powers of 2 in the Waring-Goldbach problem. (English) Zbl 1528.11103 Ramanujan J. 60, No. 4, 1081-1094 (2023). Reviewer: Yong-Gao Chen (Nanjing) MSC: 11P32 11P05 11P55 PDFBibTeX XMLCite \textit{L. Hu}, Ramanujan J. 60, No. 4, 1081--1094 (2023; Zbl 1528.11103) Full Text: DOI
Zhang, Rui Goldbach-Linnik type problems with mixed powers of primes. (English) Zbl 1525.11113 Ramanujan J. 60, No. 4, 1069-1080 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11P05 11P55 PDFBibTeX XMLCite \textit{R. Zhang}, Ramanujan J. 60, No. 4, 1069--1080 (2023; Zbl 1525.11113) Full Text: DOI
Warren, Benjamin Lee A new polygonal number theorem. (English) Zbl 1507.11088 Am. Math. Mon. 130, No. 4, 334 (2023). MSC: 11P05 PDFBibTeX XMLCite \textit{B. L. Warren}, Am. Math. Mon. 130, No. 4, 334 (2023; Zbl 1507.11088) Full Text: DOI
Demiroğlu Karabulut, Yeşim An analogue of Furstenberg-Sárközy’s theorem and an alternative solution to Waring’s problem over finite fields. (English) Zbl 1525.11108 Expo. Math. 41, No. 1, 164-185 (2023). Reviewer: Luis Gallardo (Brest) MSC: 11P05 05C20 05C25 PDFBibTeX XMLCite \textit{Y. Demiroğlu Karabulut}, Expo. Math. 41, No. 1, 164--185 (2023; Zbl 1525.11108) Full Text: DOI
Huang, Y. C. On the conical hull of moment vectors. (English) Zbl 1519.44003 Sib. Math. J. 64, No. 2, 469-470 (2023). MSC: 44A60 11P05 PDFBibTeX XMLCite \textit{Y. C. Huang}, Sib. Math. J. 64, No. 2, 469--470 (2023; Zbl 1519.44003) Full Text: DOI
Liu, Jingbo \(g\)-invariant on unary Hermitian lattices over imaginary quadratic fields with class number 2 or 3. (English) Zbl 1520.11048 J. Algebra 622, 636-675 (2023). Reviewer: Meinhard Peters (Münster) MSC: 11E39 11E41 11Y40 PDFBibTeX XMLCite \textit{J. Liu}, J. Algebra 622, 636--675 (2023; Zbl 1520.11048) Full Text: DOI arXiv
Zhu, Li Two prime squares, four prime cubes and powers of 2. (English) Zbl 1525.11109 Ramanujan J. 60, No. 2, 427-445 (2023). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{L. Zhu}, Ramanujan J. 60, No. 2, 427--445 (2023; Zbl 1525.11109) Full Text: DOI
Wei, Zhining Sums of \(k\)-th powers and Fourier coefficients of cusp forms. (English) Zbl 1510.11103 Ramanujan J. 60, No. 2, 295-316 (2023). MSC: 11F30 11P05 11P55 PDFBibTeX XMLCite \textit{Z. Wei}, Ramanujan J. 60, No. 2, 295--316 (2023; Zbl 1510.11103) Full Text: DOI
Krásenský, Jakub; Yatsyna, Pavlo On quadratic Waring’s problem in totally real number fields. (English) Zbl 1515.11027 Proc. Am. Math. Soc. 151, No. 4, 1471-1485 (2023). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E25 11D85 11E12 11P05 PDFBibTeX XMLCite \textit{J. Krásenský} and \textit{P. Yatsyna}, Proc. Am. Math. Soc. 151, No. 4, 1471--1485 (2023; Zbl 1515.11027) Full Text: DOI arXiv
Panja, Saikat; Saini, Prachi; Singh, Anupam Images of polynomial maps with constants. arXiv:2312.13865 Preprint, arXiv:2312.13865 [math.GR] (2023). MSC: 16S50 11P05 BibTeX Cite \textit{S. Panja} et al., ``Images of polynomial maps with constants'', Preprint, arXiv:2312.13865 [math.GR] (2023) Full Text: arXiv OA License
Kaushik, Rahul; Singh, Anupam Waring Problem For Triangular Matrix Algebra. arXiv:2311.09598 Preprint, arXiv:2311.09598 [math.GR] (2023). MSC: 11P05 11G25 BibTeX Cite \textit{R. Kaushik} and \textit{A. Singh}, ``Waring Problem For Triangular Matrix Algebra'', Preprint, arXiv:2311.09598 [math.GR] (2023) Full Text: arXiv OA License
Kowalczyk, Tomasz; Vill, Julian Sums of even powers of polynomials. arXiv:2311.07356 Preprint, arXiv:2311.07356 [math.AG] (2023). MSC: 11P05 14Q30 BibTeX Cite \textit{T. Kowalczyk} and \textit{J. Vill}, ``Sums of even powers of polynomials'', Preprint, arXiv:2311.07356 [math.AG] (2023) Full Text: arXiv OA License
Han, Qi On partial differential equations of Waring’s-problem form in several complex variables. arXiv:2309.06616 Preprint, arXiv:2309.06616 [math.CV] (2023). MSC: 32A15 32A20 35F20 11P05 BibTeX Cite \textit{Q. Han}, ``On partial differential equations of Waring's-problem form in several complex variables'', Preprint, arXiv:2309.06616 [math.CV] (2023) Full Text: arXiv OA License
Chafamo, Daniel; Shanmugam, Vignesh; Tokcan, Neriman Robust Bayesian Tensor Factorization with Zero-Inflated Poisson Model and Consensus Aggregation. arXiv:2308.08060 Preprint, arXiv:2308.08060 [stat.ML] (2023). MSC: 92Bxx 62F15 68-XX 68Txx 11E76 11P05 12D15 14N10 BibTeX Cite \textit{D. Chafamo} et al., ``Robust Bayesian Tensor Factorization with Zero-Inflated Poisson Model and Consensus Aggregation'', Preprint, arXiv:2308.08060 [stat.ML] (2023) Full Text: arXiv OA License
Bringmann, Kathrin; Pandey, Badri Vishal Biases among classes of rank-crank partitions\(\pmod{11}\). arXiv:2308.02327 Preprint, arXiv:2308.02327 [math.NT] (2023). MSC: 11P05 11P82 BibTeX Cite \textit{K. Bringmann} and \textit{B. V. Pandey}, ``Biases among classes of rank-crank partitions$\pmod{11}$'', Preprint, arXiv:2308.02327 [math.NT] (2023) Full Text: arXiv OA License
Ivanov, M. G.; Dudchenko, V. A.; Naumov, V. V. Number-theory renormalization of vacuum energy. arXiv:2307.11691 Preprint, arXiv:2307.11691 [hep-lat] (2023). MSC: 81T25 81P05 11A15 11P05 BibTeX Cite \textit{M. G. Ivanov} et al., ``Number-theory renormalization of vacuum energy'', Preprint, arXiv:2307.11691 [hep-lat] (2023) Full Text: arXiv OA License
Han, Xue; Liu, Huafeng Goldbach-Linnik type problems involving one prime, four prime cubes and powers of 2. arXiv:2307.10313 Preprint, arXiv:2307.10313 [math.NT] (2023). MSC: 11P05 11P32 11P55 BibTeX Cite \textit{X. Han} and \textit{H. Liu}, ``Goldbach-Linnik type problems involving one prime, four prime cubes and powers of 2'', Preprint, arXiv:2307.10313 [math.NT] (2023) Full Text: arXiv OA License
Kishore, Krishna; Vasiu, Adrian; Zhan, Sailun Waring Problem for Matrices over Finite Fields. arXiv:2306.06588 Preprint, arXiv:2306.06588 [math.NT] (2023). MSC: 11P05 11T30 BibTeX Cite \textit{K. Kishore} et al., ``Waring Problem for Matrices over Finite Fields'', Preprint, arXiv:2306.06588 [math.NT] (2023) Full Text: DOI arXiv OA License
Nguyen, Kien Huu Exponential sums and motivic oscillation index of arbitrary ideals and their applications. arXiv:2305.19732 Preprint, arXiv:2305.19732 [math.NT] (2023). MSC: 11L07 11S40 11D79 11P05 14B05 14E18 11U09 03C98 BibTeX Cite \textit{K. H. Nguyen}, ``Exponential sums and motivic oscillation index of arbitrary ideals and their applications'', Preprint, arXiv:2305.19732 [math.NT] (2023) Full Text: arXiv OA License
Panja, Saikat; Saini, Prachi; Singh, Anupam Surjectivity of polynomial maps on Matrices. arXiv:2305.19731 Preprint, arXiv:2305.19731 [math.GR] (2023). MSC: 16S50 11P05 BibTeX Cite \textit{S. Panja} et al., ``Surjectivity of polynomial maps on Matrices'', Preprint, arXiv:2305.19731 [math.GR] (2023) Full Text: arXiv OA License
Avni, Nir; Meiri, Chen Conjugacy width in uniform higher rank arithmetic groups of orthogonal type. arXiv:2304.13173 Preprint, arXiv:2304.13173 [math.GR] (2023). MSC: 20G30 11E57 11P05 BibTeX Cite \textit{N. Avni} and \textit{C. Meiri}, ``Conjugacy width in uniform higher rank arithmetic groups of orthogonal type'', Preprint, arXiv:2304.13173 [math.GR] (2023) Full Text: arXiv OA License
Coppersmith, Don; Mossinghoff, Michael J.; Scheinerman, Danny; VanderKam, Jeffrey M. Ideal solutions in the Prouhet-Tarry-Escott problem. arXiv:2304.11254 Preprint, arXiv:2304.11254 [math.NT] (2023). MSC: 11D72 11Y50 11D79 11P05 11R11 BibTeX Cite \textit{D. Coppersmith} et al., ``Ideal solutions in the Prouhet-Tarry-Escott problem'', Preprint, arXiv:2304.11254 [math.NT] (2023) Full Text: arXiv OA License
Biggs, Kirsti D.; Brandes, Julia A minimalist version of the circle method and Diophantine problems over thin sets. arXiv:2304.07891 Preprint, arXiv:2304.07891 [math.NT] (2023). MSC: 11P55 11P05 11D45 11D85 11B13 BibTeX Cite \textit{K. D. Biggs} and \textit{J. Brandes}, ``A minimalist version of the circle method and Diophantine problems over thin sets'', Preprint, arXiv:2304.07891 [math.NT] (2023) Full Text: 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
Bhakta, Subham; Krishnamoorthy, S.; Muneeswaran, R. Congruence classes for modular forms over small sets. arXiv:2302.02725 Preprint, arXiv:2302.02725 [math.NT] (2023). MSC: 11F30 11L07 11P05 11B37 11F80 BibTeX Cite \textit{S. Bhakta} et al., ``Congruence classes for modular forms over small sets'', Preprint, arXiv:2302.02725 [math.NT] (2023) Full Text: arXiv OA License
Brüdern, Jörg; Wooley, Trevor D. A paucity problem for certain triples of diagonal equations. (English) Zbl 07729905 Bull. Lond. Math. Soc. 54, No. 4, 1396-1412 (2022). MSC: 11D45 11P05 11P55 PDFBibTeX XMLCite \textit{J. Brüdern} and \textit{T. D. Wooley}, Bull. Lond. Math. Soc. 54, No. 4, 1396--1412 (2022; Zbl 07729905) Full Text: DOI arXiv
Hughes, Kevin; Wooley, Trevor D. Discrete restriction for \((x,x^3)\) and related topics. (English) Zbl 07711430 Int. Math. Res. Not. 2022, No. 20, 15612-15631 (2022). Reviewer: Luis Gallardo (Brest) MSC: 11P55 11P05 35Q55 42B10 PDFBibTeX XMLCite \textit{K. Hughes} and \textit{T. D. Wooley}, Int. Math. Res. Not. 2022, No. 20, 15612--15631 (2022; Zbl 07711430) Full Text: DOI arXiv
Zhang, Qingqing On an additive problem of unlike powers in short intervals. (English) Zbl 07655791 Czech. Math. J. 72, No. 4, 1167-1174 (2022). MSC: 11P32 11P05 11P55 PDFBibTeX XMLCite \textit{Q. Zhang}, Czech. Math. J. 72, No. 4, 1167--1174 (2022; Zbl 07655791) Full Text: DOI
Hathi, Shehzad Representation of even integers as a sum of squares of primes and powers of two. (English) Zbl 1522.11100 Acta Arith. 206, No. 4, 353-372 (2022). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11P55 11P05 PDFBibTeX XMLCite \textit{S. Hathi}, Acta Arith. 206, No. 4, 353--372 (2022; Zbl 1522.11100) Full Text: DOI arXiv
Lycan, Ron; Ponomarenko, Vadim Sums of two generalized tetrahedral numbers. (English) Zbl 1504.11104 PUMP J. Undergrad. Res. 5, 206-217 (2022). MSC: 11P05 PDFBibTeX XMLCite \textit{R. Lycan} and \textit{V. Ponomarenko}, PUMP J. Undergrad. Res. 5, 206--217 (2022; Zbl 1504.11104) Full Text: Link
Sanna, Carlo; Shallit, Jeffrey; Zhang, Shun The largest entry in the inverse of a Vandermonde matrix. (English) Zbl 1506.15006 Linear Multilinear Algebra 70, No. 20, 5634-5641 (2022). Reviewer: K. C. Sivakumar (Chennai) MSC: 15A09 15B99 11P05 PDFBibTeX XMLCite \textit{C. Sanna} et al., Linear Multilinear Algebra 70, No. 20, 5634--5641 (2022; Zbl 1506.15006) Full Text: DOI arXiv
Brandes, Julia; Hughes, Kevin On the inhomogeneous Vinogradov system. (English) Zbl 1508.11040 Bull. Aust. Math. Soc. 106, No. 3, 396-403 (2022). MSC: 11D45 11D85 11L15 11P05 42B05 PDFBibTeX XMLCite \textit{J. Brandes} and \textit{K. Hughes}, Bull. Aust. Math. Soc. 106, No. 3, 396--403 (2022; Zbl 1508.11040) Full Text: DOI arXiv
Waibel, Fabian Uniform bounds for norms of theta series and arithmetic applications. (English) Zbl 1508.11049 Math. Proc. Camb. Philos. Soc. 173, No. 3, 669-691 (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E25 11F27 11F30 11P05 11N37 PDFBibTeX XMLCite \textit{F. Waibel}, Math. Proc. Camb. Philos. Soc. 173, No. 3, 669--691 (2022; Zbl 1508.11049) Full Text: DOI arXiv
Podestá, Ricardo A.; Videla, Denis E. A reduction formula for Waring numbers through generalized Paley graphs. (English) Zbl 1511.11085 J. Algebr. Comb. 56, No. 4, 1255-1285 (2022). Reviewer: Luis Gallardo (Brest) MSC: 11P05 05C25 05C12 11A07 PDFBibTeX XMLCite \textit{R. A. Podestá} and \textit{D. E. Videla}, J. Algebr. Comb. 56, No. 4, 1255--1285 (2022; Zbl 1511.11085) Full Text: DOI arXiv
Cochrane, Todd; Ostergaard, Misty; Spencer, Craig Homogeneous additive congruences. (English) Zbl 1498.11105 Rocky Mt. J. Math. 52, No. 4, 1295-1317 (2022). MSC: 11D79 11P05 PDFBibTeX XMLCite \textit{T. Cochrane} et al., Rocky Mt. J. Math. 52, No. 4, 1295--1317 (2022; Zbl 1498.11105) Full Text: DOI Link
Cui, Lu; Ma, Minghui On arithmetic properties of Cantor sets. (English) Zbl 1517.11126 Sci. China, Math. 65, No. 10, 2035-2060 (2022). MSC: 11P05 11P32 28A80 PDFBibTeX XMLCite \textit{L. Cui} and \textit{M. Ma}, Sci. China, Math. 65, No. 10, 2035--2060 (2022; Zbl 1517.11126) Full Text: DOI arXiv
Lü, Xiaodong Two prime squares, four prime cubes and powers of 2. (Chinese. English summary) Zbl 1513.11168 Chin. Ann. Math., Ser. A 43, No. 1, 103-112 (2022). MSC: 11P32 11P05 11P55 PDFBibTeX XMLCite \textit{X. Lü}, Chin. Ann. Math., Ser. A 43, No. 1, 103--112 (2022; Zbl 1513.11168) Full Text: DOI
Li, Jinjiang; Xue, Fei; Zhang, Min A ternary Diophantine inequality with prime numbers of a special form. (English) Zbl 1513.11167 Period. Math. Hung. 85, No. 1, 14-31 (2022). Reviewer: Shigeru Kanemitsu (Kitakyushu) MSC: 11P32 11N36 11L07 11L20 11P05 PDFBibTeX XMLCite \textit{J. Li} et al., Period. Math. Hung. 85, No. 1, 14--31 (2022; Zbl 1513.11167) Full Text: DOI
Ponomarenko, Vadim Sums of generalized octahedral numbers. (English) Zbl 1498.11201 Am. Math. Mon. 129, No. 7, 677 (2022). MSC: 11P05 PDFBibTeX XMLCite \textit{V. Ponomarenko}, Am. Math. Mon. 129, No. 7, 677 (2022; Zbl 1498.11201) Full Text: DOI
Brüdern, Jörg; Wooley, Trevor D. On smooth Weyl sums over biquadrates and Waring’s problem. (English) Zbl 1504.11103 Acta Arith. 204, No. 1, 19-40 (2022). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11L15 11P55 PDFBibTeX XMLCite \textit{J. Brüdern} and \textit{T. D. Wooley}, Acta Arith. 204, No. 1, 19--40 (2022; Zbl 1504.11103) Full Text: DOI arXiv
Li, Jinjiang; Zhang, Min; Xue, Fei On a ternary Diophantine equation involving fractional powers with prime variables of a special form. (English) Zbl 1512.11061 Ramanujan J. 58, No. 4, 1171-1199 (2022). Reviewer: Thomas Stoll (Vandœuvre-lès Nancy) MSC: 11L07 11L20 11P05 11P32 11N36 PDFBibTeX XMLCite \textit{J. Li} et al., Ramanujan J. 58, No. 4, 1171--1199 (2022; Zbl 1512.11061) Full Text: DOI
Hajdu, L.; Papp, Á.; Tijdeman, R. The Prouhet-Tarry-Escott problem, indecomposability of polynomials and Diophantine equations. (English) Zbl 1496.11126 Ramanujan J. 58, No. 4, 1075-1093 (2022). Reviewer: Maciej Ulas (Kraków) MSC: 11P05 11B75 11D41 PDFBibTeX XMLCite \textit{L. Hajdu} et al., Ramanujan J. 58, No. 4, 1075--1093 (2022; Zbl 1496.11126) Full Text: DOI
Barai, Rakesh; Garge, Anuradha S. Trace and discriminant criteria for a matrix to be a sum of sixth and eighth powers of matrices. (English) Zbl 1493.11063 Integers 22, Paper A25, 14 p. (2022). MSC: 11C20 11P05 15B36 15B33 PDFBibTeX XMLCite \textit{R. Barai} and \textit{A. S. Garge}, Integers 22, Paper A25, 14 p. (2022; Zbl 1493.11063) Full Text: arXiv Link
Zhu, Li Goldbach-Linnik type problems on eight cubes of primes. (English) Zbl 1505.11129 Rocky Mt. J. Math. 52, No. 3, 1127-1139 (2022). Reviewer: Victor Wang (Princeton) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{L. Zhu}, Rocky Mt. J. Math. 52, No. 3, 1127--1139 (2022; Zbl 1505.11129) Full Text: DOI Link
Ponomarenko, Vadim Sums of generalized tetrahedral numbers. (English) Zbl 1487.11090 Am. Math. Mon. 129, No. 5, 474 (2022). MSC: 11P05 PDFBibTeX XMLCite \textit{V. Ponomarenko}, Am. Math. Mon. 129, No. 5, 474 (2022; Zbl 1487.11090) Full Text: DOI
Liu, Yuhui The exceptional set of one prime square and five prime cubes. (English) Zbl 1505.11128 J. Korean Math. Soc. 59, No. 3, 439-448 (2022). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P32 PDFBibTeX XMLCite \textit{Y. Liu}, J. Korean Math. Soc. 59, No. 3, 439--448 (2022; Zbl 1505.11128) Full Text: DOI
Kishore, Krishna Matrix Waring problem. (English) Zbl 1485.11143 Linear Algebra Appl. 646, 84-94 (2022). MSC: 11P05 11G25 PDFBibTeX XMLCite \textit{K. Kishore}, Linear Algebra Appl. 646, 84--94 (2022; Zbl 1485.11143) Full Text: DOI arXiv
Campos Vargas, João On Artin’s conjecture for pairs of diagonal forms. (English) Zbl 1490.11098 Int. J. Number Theory 18, No. 3, 613-628 (2022). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 11P05 11P70 11B75 PDFBibTeX XMLCite \textit{J. Campos Vargas}, Int. J. Number Theory 18, No. 3, 613--628 (2022; Zbl 1490.11098) Full Text: DOI arXiv
Zhu, Li Goldbach-Linnik type problems with unequal powers of primes. (English) Zbl 1491.11087 J. Korean Math. Soc. 59, No. 2, 407-420 (2022). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{L. Zhu}, J. Korean Math. Soc. 59, No. 2, 407--420 (2022; Zbl 1491.11087) Full Text: DOI
Katre, S. A.; Krishnamurthi, Deepa Matrices over non-commutative rings as sums of powers. (English) Zbl 1482.16044 Linear Multilinear Algebra 70, No. 5, 824-829 (2022). MSC: 16S50 11P05 15A30 PDFBibTeX XMLCite \textit{S. A. Katre} and \textit{D. Krishnamurthi}, Linear Multilinear Algebra 70, No. 5, 824--829 (2022; Zbl 1482.16044) Full Text: DOI
Talmage, Alan Simultaneous cubic and quadratic diagonal equations in 12 prime variables. (English) Zbl 1498.11202 Ramanujan J. 57, No. 3, 863-905 (2022). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P32 PDFBibTeX XMLCite \textit{A. Talmage}, Ramanujan J. 57, No. 3, 863--905 (2022; Zbl 1498.11202) Full Text: DOI arXiv
Pliego, Javier Uniform bounds in Waring’s problem over some diagonal forms. (English) Zbl 1491.11041 Math. Z. 300, No. 3, 3083-3107 (2022). Reviewer: Luis Gallardo (Brest) MSC: 11E76 11P05 11P55 PDFBibTeX XMLCite \textit{J. Pliego}, Math. Z. 300, No. 3, 3083--3107 (2022; Zbl 1491.11041) Full Text: DOI arXiv
Liu, Jingbo On a Waring’s problem for Hermitian lattices. (English) Zbl 1506.11058 Bull. Sci. Math. 174, Article ID 102970, 25 p. (2022). Reviewer: Meinhard Peters (Münster) MSC: 11E39 11E12 11E20 PDFBibTeX XMLCite \textit{J. Liu}, Bull. Sci. Math. 174, Article ID 102970, 25 p. (2022; Zbl 1506.11058) Full Text: DOI
Zhao, Xiaodong Goldbach-Linnik type problems on cubes of primes. (English) Zbl 1498.11203 Ramanujan J. 57, No. 1, 239-251 (2022). Reviewer: Huafeng Liu (Jinan) MSC: 11P32 11P05 11P55 PDFBibTeX XMLCite \textit{X. Zhao}, Ramanujan J. 57, No. 1, 239--251 (2022; Zbl 1498.11203) Full Text: DOI
Ren, Xiumin; Zhang, Wei On sums of biquadratic powers with almost equal primes. (English) Zbl 1497.11248 Ramanujan J. 57, No. 1, 71-78 (2022). MSC: 11P32 11P05 11P55 PDFBibTeX XMLCite \textit{X. Ren} and \textit{W. Zhang}, Ramanujan J. 57, No. 1, 71--78 (2022; Zbl 1497.11248) Full Text: DOI
Kishore, Krishna; Singh, Anupam Matrix Waring Problem – II. arXiv:2205.04710 Preprint, arXiv:2205.04710 [math.GR] (2022). MSC: 11P05 11G25 BibTeX Cite \textit{K. Kishore} and \textit{A. Singh}, ``Matrix Waring Problem -- II'', Preprint, arXiv:2205.04710 [math.GR] (2022) Full Text: arXiv OA License
Ding, Pengyong On the mean average of integer partition as the sum of powers. arXiv:2211.10621 Preprint, arXiv:2211.10621 [math.NT] (2022). MSC: 11P05 11P21 11D45 BibTeX Cite \textit{P. Ding}, ``On the mean average of integer partition as the sum of powers'', Preprint, arXiv:2211.10621 [math.NT] (2022) Full Text: arXiv OA License
Bruedern, Joerg; Wooley, Trevor D. Partitio Numerorum: sums of a prime and a number of \(k\)-th powers. arXiv:2211.10387 Preprint, arXiv:2211.10387 [math.NT] (2022). MSC: 11P55 11P05 11P32 BibTeX Cite \textit{J. Bruedern} and \textit{T. D. Wooley}, ``Partitio Numerorum: sums of a prime and a number of $k$-th powers'', Preprint, arXiv:2211.10387 [math.NT] (2022) Full Text: arXiv OA License
Glas, Jakob; Hochfilzer, Leonhard On a question of Davenport and diagonal cubic forms over \(\mathbb{F}_q(t)\). arXiv:2208.05422 Preprint, arXiv:2208.05422 [math.NT] (2022). MSC: 11D45 11P05 11P55 11T55 14G05 BibTeX Cite \textit{J. Glas} and \textit{L. Hochfilzer}, ``On a question of Davenport and diagonal cubic forms over $\mathbb{F}_q(t)$'', Preprint, arXiv:2208.05422 [math.NT] (2022) Full Text: arXiv OA License
Yamaguchi, Naoya; Yamaguchi, Yuka; Shibukawa, Genki Principal Specialization of Monomial Symmetric Polynomials and Group Determinants of Cyclic Groups. arXiv:2203.14422 Preprint, arXiv:2203.14422 [math.RT] (2022). MSC: 20C15 11P05 BibTeX Cite \textit{N. Yamaguchi} et al., ``Principal Specialization of Monomial Symmetric Polynomials and Group Determinants of Cyclic Groups'', Preprint, arXiv:2203.14422 [math.RT] (2022) Full Text: arXiv OA License
Hughes, Kevin Subcritical paucity and \(\ell^p\)-improving estimates for finite-type polynomial curves. arXiv:2201.11468 Preprint, arXiv:2201.11468 [math.CA] (2022). MSC: 44A12 42B10 11D45 11P05 BibTeX Cite \textit{K. Hughes}, ``Subcritical paucity and $\ell^p$-improving estimates for finite-type polynomial curves'', Preprint, arXiv:2201.11468 [math.CA] (2022) Full Text: arXiv OA License
Pliego, Javier On Waring’s problem in sums of three cubes. (English) Zbl 1523.11176 Mathematika 67, No. 1, 235-256 (2021). MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{J. Pliego}, Mathematika 67, No. 1, 235--256 (2021; Zbl 1523.11176) Full Text: DOI arXiv
Cobeli, Cristian DOI\(^2\). (English) Zbl 1524.11067 Rev. Roum. Math. Pures Appl. 66, No. 3-4, 651-669 (2021). MSC: 11B83 00A08 11A05 11B85 11N25 11P05 PDFBibTeX XMLCite \textit{C. Cobeli}, Rev. Roum. Math. Pures Appl. 66, No. 3--4, 651--669 (2021; Zbl 1524.11067) Full Text: arXiv Link
Banks, Tim; Hamblen, Spencer; Sherwin, Tim; Wright, Sal Sums of quaternion squares and a theorem of Watson. (English) Zbl 1492.11084 Involve 14, No. 5, 783-792 (2021). Reviewer: Cherng-tiao Perng (Norfolk) MSC: 11E25 11P05 11R52 PDFBibTeX XMLCite \textit{T. Banks} et al., Involve 14, No. 5, 783--792 (2021; Zbl 1492.11084) Full Text: DOI arXiv
Zhang, Min; Li, Jinjiang On the Waring-Goldbach problem for squares, cubes and higher powers. (English) Zbl 1497.11246 Ramanujan J. 56, No. 3, 1123-1150 (2021). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P32 11P55 11N36 PDFBibTeX XMLCite \textit{M. Zhang} and \textit{J. Li}, Ramanujan J. 56, No. 3, 1123--1150 (2021; Zbl 1497.11246) Full Text: DOI arXiv
Liu, Jianya; Zhao, Lilu Representation by sums of unlike powers. (English) Zbl 1487.11089 J. Reine Angew. Math. 781, 19-55 (2021). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P55 PDFBibTeX XMLCite \textit{J. Liu} and \textit{L. Zhao}, J. Reine Angew. Math. 781, 19--55 (2021; Zbl 1487.11089) Full Text: DOI arXiv