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). MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{J. Mirek} et al., Proc. Am. Math. Soc. 151, No. 8, 3365--3379 (2023; Zbl 07688421) Full Text: DOI arXiv OpenURL
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). MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{J. Pliego}, J. Aust. Math. Soc. 114, No. 3, 378--405 (2023; Zbl 07687696) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. Casarotti} and \textit{M. Mella}, J. Eur. Math. Soc. (JEMS) 25, No. 3, 913--931 (2023; Zbl 07683503) Full Text: DOI arXiv OpenURL
Dias, Thiago; Gondim, Rodrigo Waring problems and the Lefschetz properties. (English) Zbl 07679759 Sel. Math., New Ser. 29, No. 3, Paper No. 32, 21 p. (2023). Reviewer: Piotr Pokora (Kraków) MSC: 13A02 13D40 13E10 14N15 14N20 15A69 15A23 PDF BibTeX XML Cite \textit{T. Dias} and \textit{R. Gondim}, Sel. Math., New Ser. 29, No. 3, Paper No. 32, 21 p. (2023; Zbl 07679759) Full Text: DOI arXiv OpenURL
Hu, Liqun Two results on unlike powers of primes and powers of 2 in the Waring-Goldbach problem. (English) Zbl 07673429 Ramanujan J. 60, No. 4, 1081-1094 (2023). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{L. Hu}, Ramanujan J. 60, No. 4, 1081--1094 (2023; Zbl 07673429) Full Text: DOI OpenURL
Zhang, Rui Goldbach-Linnik type problems with mixed powers of primes. (English) Zbl 07673428 Ramanujan J. 60, No. 4, 1069-1080 (2023). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{R. Zhang}, Ramanujan J. 60, No. 4, 1069--1080 (2023; Zbl 07673428) Full Text: DOI OpenURL
Warren, Benjamin Lee A new polygonal number theorem. (English) Zbl 1507.11088 Am. Math. Mon. 130, No. 4, 334 (2023). MSC: 11P05 PDF BibTeX XML Cite \textit{B. L. Warren}, Am. Math. Mon. 130, No. 4, 334 (2023; Zbl 1507.11088) Full Text: DOI OpenURL
Demiroğlu Karabulut, Yeşim An analogue of Furstenberg-Sárközy’s theorem and an alternative solution to Waring’s problem over finite fields. (English) Zbl 07669872 Expo. Math. 41, No. 1, 164-185 (2023). MSC: 11P05 05C20 05C25 PDF BibTeX XML Cite \textit{Y. Demiroğlu Karabulut}, Expo. Math. 41, No. 1, 164--185 (2023; Zbl 07669872) Full Text: DOI OpenURL
Huang, Y. C. On the conical hull of moment vectors. (English) Zbl 07669641 Sib. Math. J. 64, No. 2, 469-470 (2023). MSC: 44A60 11P05 PDF BibTeX XML Cite \textit{Y. C. Huang}, Sib. Math. J. 64, No. 2, 469--470 (2023; Zbl 07669641) Full Text: DOI OpenURL
Liu, Jingbo \(g\)-invariant on unary Hermitian lattices over imaginary quadratic fields with class number 2 or 3. (English) Zbl 07665503 J. Algebra 622, 636-675 (2023). Reviewer: Meinhard Peters (Münster) MSC: 11E39 11E41 11Y40 PDF BibTeX XML Cite \textit{J. Liu}, J. Algebra 622, 636--675 (2023; Zbl 07665503) Full Text: DOI arXiv OpenURL
Zhu, Li Two prime squares, four prime cubes and powers of 2. (English) Zbl 07659059 Ramanujan J. 60, No. 2, 427-445 (2023). MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{L. Zhu}, Ramanujan J. 60, No. 2, 427--445 (2023; Zbl 07659059) Full Text: DOI OpenURL
Wei, Zhining Sums of \(k\)-th powers and Fourier coefficients of cusp forms. (English) Zbl 07659054 Ramanujan J. 60, No. 2, 295-316 (2023). MSC: 11F30 11P05 11P55 PDF BibTeX XML Cite \textit{Z. Wei}, Ramanujan J. 60, No. 2, 295--316 (2023; Zbl 07659054) Full Text: DOI OpenURL
Krásenský, Jakub; Yatsyna, Pavlo On quadratic Waring’s problem in totally real number fields. (English) Zbl 07655878 Proc. Am. Math. Soc. 151, No. 4, 1471-1485 (2023). Reviewer: Andrew G. Earnest (Carbondale) MSC: 11E25 11D85 11E12 11P05 PDF BibTeX XML Cite \textit{J. Krásenský} and \textit{P. Yatsyna}, Proc. Am. Math. Soc. 151, No. 4, 1471--1485 (2023; Zbl 07655878) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{Q. Zhang}, Czech. Math. J. 72, No. 4, 1167--1174 (2022; Zbl 07655791) Full Text: DOI OpenURL
Hathi, Shehzad Representation of even integers as a sum of squares of primes and powers of two. (English) Zbl 07654976 Acta Arith. 206, No. 4, 353-372 (2022). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{S. Hathi}, Acta Arith. 206, No. 4, 353--372 (2022; Zbl 07654976) Full Text: DOI arXiv OpenURL
Lycan, Ron; Ponomarenko, Vadim Sums of two generalized tetrahedral numbers. (English) Zbl 1504.11104 PUMP J. Undergrad. Res. 5, 206-217 (2022). MSC: 11P05 PDF BibTeX XML Cite \textit{R. Lycan} and \textit{V. Ponomarenko}, PUMP J. Undergrad. Res. 5, 206--217 (2022; Zbl 1504.11104) Full Text: Link OpenURL
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 PDF BibTeX XML Cite \textit{C. Sanna} et al., Linear Multilinear Algebra 70, No. 20, 5634--5641 (2022; Zbl 1506.15006) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{J. Brandes} and \textit{K. Hughes}, Bull. Aust. Math. Soc. 106, No. 3, 396--403 (2022; Zbl 1508.11040) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{F. Waibel}, Math. Proc. Camb. Philos. Soc. 173, No. 3, 669--691 (2022; Zbl 1508.11049) Full Text: DOI arXiv OpenURL
Macleod, Allan J. Small-degree parametric solutions for degree 6 and 7 ideal multigrades. (English) Zbl 07603564 Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 551(26), 55-64 (2022). MSC: 11D25 11P05 11Y50 PDF BibTeX XML Cite \textit{A. J. Macleod}, Rad Hrvat. Akad. Znan. Umjet., Mat. Znan. 551(26), 55--64 (2022; Zbl 07603564) Full Text: DOI OpenURL
Podestá, Ricardo A.; Videla, Denis E. A reduction formula for Waring numbers through generalized Paley graphs. (English) Zbl 07603337 J. Algebr. Comb. 56, No. 4, 1255-1285 (2022). Reviewer: Luis Gallardo (Brest) MSC: 11P05 05C25 05C12 11A07 PDF BibTeX XML Cite \textit{R. A. Podestá} and \textit{D. E. Videla}, J. Algebr. Comb. 56, No. 4, 1255--1285 (2022; Zbl 07603337) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{T. Cochrane} et al., Rocky Mt. J. Math. 52, No. 4, 1295--1317 (2022; Zbl 1498.11105) Full Text: DOI Link OpenURL
Cui, Lu; Ma, Minghui On arithmetic properties of Cantor sets. (English) Zbl 07595973 Sci. China, Math. 65, No. 10, 2035-2060 (2022). MSC: 28A80 11P05 PDF BibTeX XML Cite \textit{L. Cui} and \textit{M. Ma}, Sci. China, Math. 65, No. 10, 2035--2060 (2022; Zbl 07595973) Full Text: DOI arXiv OpenURL
Lü, Xiaodong Two prime squares, four prime cubes and powers of 2. (Chinese. English summary) Zbl 07592832 Chin. Ann. Math., Ser. A 43, No. 1, 103-112 (2022). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{X. Lü}, Chin. Ann. Math., Ser. A 43, No. 1, 103--112 (2022; Zbl 07592832) Full Text: DOI OpenURL
Li, Jinjiang; Xue, Fei; Zhang, Min A ternary Diophantine inequality with prime numbers of a special form. (English) Zbl 07574630 Period. Math. Hung. 85, No. 1, 14-31 (2022). Reviewer: Shigeru Kanemitsu (Kitakyushu) MSC: 11L07 11L20 11P05 11P32 11N36 PDF BibTeX XML Cite \textit{J. Li} et al., Period. Math. Hung. 85, No. 1, 14--31 (2022; Zbl 07574630) Full Text: DOI OpenURL
Ponomarenko, Vadim Sums of generalized octahedral numbers. (English) Zbl 1498.11201 Am. Math. Mon. 129, No. 7, 677 (2022). MSC: 11P05 PDF BibTeX XML Cite \textit{V. Ponomarenko}, Am. Math. Mon. 129, No. 7, 677 (2022; Zbl 1498.11201) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J. Brüdern} and \textit{T. D. Wooley}, Acta Arith. 204, No. 1, 19--40 (2022; Zbl 1504.11103) Full Text: DOI arXiv OpenURL
Li, Jinjiang; Zhang, Min; Xue, Fei On a ternary Diophantine equation involving fractional powers with prime variables of a special form. (English) Zbl 07557861 Ramanujan J. 58, No. 4, 1171-1199 (2022). Reviewer: Thomas Stoll (Vandœuvre-lès Nancy) MSC: 11L07 11L20 11P05 11P32 11N36 PDF BibTeX XML Cite \textit{J. Li} et al., Ramanujan J. 58, No. 4, 1171--1199 (2022; Zbl 07557861) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{L. Hajdu} et al., Ramanujan J. 58, No. 4, 1075--1093 (2022; Zbl 1496.11126) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{R. Barai} and \textit{A. S. Garge}, Integers 22, Paper A25, 14 p. (2022; Zbl 1493.11063) Full Text: arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{L. Zhu}, Rocky Mt. J. Math. 52, No. 3, 1127--1139 (2022; Zbl 1505.11129) Full Text: DOI Link OpenURL
Liu, Yuhui Two results on Goldbach-Linnik problems for cubes of primes. (English) Zbl 1495.11118 Rocky Mt. J. Math. 52, No. 3, 999-1007 (2022). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11P55 PDF BibTeX XML Cite \textit{Y. Liu}, Rocky Mt. J. Math. 52, No. 3, 999--1007 (2022; Zbl 1495.11118) Full Text: DOI Link OpenURL
Ponomarenko, Vadim Sums of generalized tetrahedral numbers. (English) Zbl 1487.11090 Am. Math. Mon. 129, No. 5, 474 (2022). MSC: 11P05 PDF BibTeX XML Cite \textit{V. Ponomarenko}, Am. Math. Mon. 129, No. 5, 474 (2022; Zbl 1487.11090) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Y. Liu}, J. Korean Math. Soc. 59, No. 3, 439--448 (2022; Zbl 1505.11128) Full Text: DOI OpenURL
Kishore, Krishna Matrix Waring problem. (English) Zbl 1485.11143 Linear Algebra Appl. 646, 84-94 (2022). MSC: 11P05 11G25 PDF BibTeX XML Cite \textit{K. Kishore}, Linear Algebra Appl. 646, 84--94 (2022; Zbl 1485.11143) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{J. Campos Vargas}, Int. J. Number Theory 18, No. 3, 613--628 (2022; Zbl 1490.11098) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{L. Zhu}, J. Korean Math. Soc. 59, No. 2, 407--420 (2022; Zbl 1491.11087) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. A. Katre} and \textit{D. Krishnamurthi}, Linear Multilinear Algebra 70, No. 5, 824--829 (2022; Zbl 1482.16044) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. Talmage}, Ramanujan J. 57, No. 3, 863--905 (2022; Zbl 1498.11202) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{J. Pliego}, Math. Z. 300, No. 3, 3083--3107 (2022; Zbl 1491.11041) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{J. Liu}, Bull. Sci. Math. 174, Article ID 102970, 25 p. (2022; Zbl 1506.11058) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{X. Zhao}, Ramanujan J. 57, No. 1, 239--251 (2022; Zbl 1498.11203) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{X. Ren} and \textit{W. Zhang}, Ramanujan J. 57, No. 1, 71--78 (2022; Zbl 1497.11248) Full Text: DOI OpenURL
Anderson, Theresa C.; Cook, Brian; Hughes, Kevin; Kumchev, Angel On the ergodic Waring-Goldbach problem. (English) Zbl 1489.37008 J. Funct. Anal. 282, No. 5, Article ID 109334, 39 p. (2022). MSC: 37A30 37A44 37A46 PDF BibTeX XML Cite \textit{T. C. Anderson} et al., J. Funct. Anal. 282, No. 5, Article ID 109334, 39 p. (2022; Zbl 1489.37008) Full Text: DOI arXiv OpenURL
Cobeli, Cristian DOI\(^2\). (English) Zbl 07523912 Rev. Roum. Math. Pures Appl. 66, No. 3-4, 651-669 (2021). MSC: 11B99 11A05 11N25 11P05 PDF BibTeX XML Cite \textit{C. Cobeli}, Rev. Roum. Math. Pures Appl. 66, No. 3--4, 651--669 (2021; Zbl 07523912) Full Text: arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{T. Banks} et al., Involve 14, No. 5, 783--792 (2021; Zbl 1492.11084) Full Text: DOI arXiv OpenURL
Matomäki, Kaisa; Shao, Xuancheng Discorrelation between primes in short intervals and polynomial phases. (English) Zbl 1494.11070 Int. Math. Res. Not. 2021, No. 16, 12330-12355 (2021). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L20 11N05 PDF BibTeX XML Cite \textit{K. Matomäki} and \textit{X. Shao}, Int. Math. Res. Not. 2021, No. 16, 12330--12355 (2021; Zbl 1494.11070) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{M. Zhang} and \textit{J. Li}, Ramanujan J. 56, No. 3, 1123--1150 (2021; Zbl 1497.11246) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{J. Liu} and \textit{L. Zhao}, J. Reine Angew. Math. 781, 19--55 (2021; Zbl 1487.11089) Full Text: DOI arXiv OpenURL
Ponomarenko, Vadim Pollock’s generalized tetrahedral numbers conjecture. (English) Zbl 1475.11181 Am. Math. Mon. 128, No. 10, 921 (2021). MSC: 11P05 PDF BibTeX XML Cite \textit{V. Ponomarenko}, Am. Math. Mon. 128, No. 10, 921 (2021; Zbl 1475.11181) Full Text: DOI OpenURL
Warren, Benjamin Lee Primes and their connection to certain polyhedral number sequences. (English) Zbl 1477.11174 J. Math. 2021, Article ID 9956343, 11 p. (2021). MSC: 11P05 11P32 11P55 PDF BibTeX XML Cite \textit{B. L. Warren}, J. Math. 2021, Article ID 9956343, 11 p. (2021; Zbl 1477.11174) Full Text: DOI OpenURL
Li, Jinjiang; Zhang, Min; Zhao, Yuetong Slim exceptional set for sums of mixed powers of primes. (English) Zbl 1478.11113 Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 29, 25 p. (2021). MSC: 11P05 11P32 11P55 PDF BibTeX XML Cite \textit{J. Li} et al., Proc. Indian Acad. Sci., Math. Sci. 131, No. 2, Paper No. 29, 25 p. (2021; Zbl 1478.11113) Full Text: DOI OpenURL
Li, Weiping Small prime solutions of a Diophantine equation with one prime and five cubes of primes. (English) Zbl 1484.11197 Funct. Approximatio, Comment. Math. 64, No. 1, 47-69 (2021). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{W. Li}, Funct. Approximatio, Comment. Math. 64, No. 1, 47--69 (2021; Zbl 1484.11197) Full Text: DOI OpenURL
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 OpenURL
Katre, S. A.; Wadikar, Kshipra Matrices over noncommutative rings as sums of \(k\)th powers. (English) Zbl 1483.11215 Linear Multilinear Algebra 69, No. 11, 2050-2058 (2021). MSC: 11P05 15A30 15B33 16S50 PDF BibTeX XML Cite \textit{S. A. Katre} and \textit{K. Wadikar}, Linear Multilinear Algebra 69, No. 11, 2050--2058 (2021; Zbl 1483.11215) Full Text: DOI OpenURL
Brustenga i Moncusí, Laura; Masuti, Shreedevi K. The Waring rank of binary binomial forms. (English) Zbl 1496.13029 Pac. J. Math. 313, No. 2, 327-342 (2021). Reviewer: Ettore Teixeira Turatti (Firenze) MSC: 13F20 11P05 14N05 14N07 PDF BibTeX XML Cite \textit{L. Brustenga i Moncusí} and \textit{S. K. Masuti}, Pac. J. Math. 313, No. 2, 327--342 (2021; Zbl 1496.13029) Full Text: DOI arXiv OpenURL
Salmensuu, Juho A density version of Waring’s problem. (English) Zbl 1483.11217 Acta Arith. 199, No. 4, 383-412 (2021). Reviewer: Victor Wang (Princeton) MSC: 11P05 11B13 11B30 PDF BibTeX XML Cite \textit{J. Salmensuu}, Acta Arith. 199, No. 4, 383--412 (2021; Zbl 1483.11217) Full Text: DOI arXiv OpenURL
Brambilla, Maria Chiara; Staglianò, Giovanni Algebraic boundaries among typical ranks for real binary forms of arbitrary degree. (English) Zbl 1482.14053 Found. Comput. Math. 21, No. 4, 1003-1022 (2021). Reviewer: Vincenzo Galgano (Povo) MSC: 14N07 14P10 15A69 PDF BibTeX XML Cite \textit{M. C. Brambilla} and \textit{G. Staglianò}, Found. Comput. Math. 21, No. 4, 1003--1022 (2021; Zbl 1482.14053) Full Text: DOI arXiv OpenURL
Covert, David The finite field distance problem. (English) Zbl 1478.11001 The Carus Mathematical Monographs 37. Washington, DC: Mathematical Association of America (MAA) (ISBN 978-1-4704-6031-0/pbk; 978-1-4704-6773-9/ebook). xi, 181 p. (2021). Reviewer: Telveenus Antony (Kingston upon Thames) MSC: 11-01 11Txx 05-01 PDF BibTeX XML Cite \textit{D. Covert}, The finite field distance problem. Washington, DC: Mathematical Association of America (MAA) (2021; Zbl 1478.11001) OpenURL
Li, Taiyu; Yao, Yanjun Exponential sums over cubes of primes in short intervals and its applications. (English) Zbl 1485.11123 Math. Z. 299, No. 1-2, 83-99 (2021). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L15 11L26 11P32 PDF BibTeX XML Cite \textit{T. Li} and \textit{Y. Yao}, Math. Z. 299, No. 1--2, 83--99 (2021; Zbl 1485.11123) Full Text: DOI OpenURL
Konyagin, S. V.; Protasov, V. Yu. On a lemma arising in the solution of Waring’s problem. (English. Russian original) Zbl 1487.44005 Sib. Math. J. 62, No. 4, 654-656 (2021); translation from Sib. Mat. Zh. 62, No. 4, 803-806 (2021). Reviewer: Hamza El Azhar (El Jadida) MSC: 44A60 11P05 PDF BibTeX XML Cite \textit{S. V. Konyagin} and \textit{V. Yu. Protasov}, Sib. Math. J. 62, No. 4, 654--656 (2021; Zbl 1487.44005); translation from Sib. Mat. Zh. 62, No. 4, 803--806 (2021) Full Text: DOI OpenURL
Li, Jinjiang; Zhang, Min; Zhao, Haonan Exceptional set in Waring-Goldbach problem involving squares, cubes and sixth powers. (English) Zbl 1488.11154 Stud. Sci. Math. Hung. 58, No. 1, 84-103 (2021). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 11P05 11P32 11P55 PDF BibTeX XML Cite \textit{J. Li} et al., Stud. Sci. Math. Hung. 58, No. 1, 84--103 (2021; Zbl 1488.11154) Full Text: DOI OpenURL
Garge, Anuradha S. Matrices over commutative rings as sums of fifth and seventh powers of matrices. (English) Zbl 1469.11047 Linear Multilinear Algebra 69, No. 12, 2220-2227 (2021). MSC: 11C20 15B36 11P05 15B33 PDF BibTeX XML Cite \textit{A. S. Garge}, Linear Multilinear Algebra 69, No. 12, 2220--2227 (2021; Zbl 1469.11047) Full Text: DOI OpenURL
Languasco, Alessandro; Zaccagnini, Alessandro Sums of one prime power and two squares of primes in short intervals. (English) Zbl 1469.11397 Rocky Mt. J. Math. 51, No. 1, 213-224 (2021). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{A. Languasco} and \textit{A. Zaccagnini}, Rocky Mt. J. Math. 51, No. 1, 213--224 (2021; Zbl 1469.11397) Full Text: DOI arXiv OpenURL
Brüdern, Jörg Roth’s ascending powers in the primes. (English) Zbl 1480.11124 Riv. Mat. Univ. Parma (N.S.) 12, No. 1, 29-40 (2021). Reviewer: Mihály Szalay (Budapest) MSC: 11P55 11D72 11D85 11P05 11P32 PDF BibTeX XML Cite \textit{J. Brüdern}, Riv. Mat. Univ. Parma (N.S.) 12, No. 1, 29--40 (2021; Zbl 1480.11124) Full Text: Link OpenURL
Luo, Wenzhi Sums of \(k\)-th powers and the Whittaker-Fourier coefficients of automorphic forms. (English) Zbl 1487.11045 Ramanujan J. 55, No. 3, 1165-1175 (2021). Reviewer: Grant Molnar (Hanover) MSC: 11F30 11P55 11P05 PDF BibTeX XML Cite \textit{W. Luo}, Ramanujan J. 55, No. 3, 1165--1175 (2021; Zbl 1487.11045) Full Text: DOI OpenURL
Eminyan, Karapet M. Hua Loo-Keng’s problem for primes of a special form. (English. Russian original) Zbl 1479.11172 Sb. Math. 212, No. 4, 592-603 (2021); translation from Mat. Sb. 212, No. 4, 159-170 (2021). MSC: 11P05 11P32 PDF BibTeX XML Cite \textit{K. M. Eminyan}, Sb. Math. 212, No. 4, 592--603 (2021; Zbl 1479.11172); translation from Mat. Sb. 212, No. 4, 159--170 (2021) Full Text: DOI OpenURL
Guo, Yinan Waring-Hilbert problem on Cantor sets. (English) Zbl 1486.11121 Expo. Math. 39, No. 2, 165-181 (2021). Reviewer: Luis Gallardo (Brest) MSC: 11P05 28A80 PDF BibTeX XML Cite \textit{Y. Guo}, Expo. Math. 39, No. 2, 165--181 (2021; Zbl 1486.11121) Full Text: DOI OpenURL
Feng, Zhenzhen; Liu, Zhixin Exceptional sets in Waring-Goldbach problem for fifth powers. (English) Zbl 1479.11173 Front. Math. China 16, No. 1, 49-58 (2021). MSC: 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{Z. Feng} and \textit{Z. Liu}, Front. Math. China 16, No. 1, 49--58 (2021; Zbl 1479.11173) Full Text: DOI OpenURL
Han, Xue; Liu, Huafeng; Zhang, Deyu A system of two Diophantine inequalities with primes. (English) Zbl 1477.11175 J. Math. 2021, Article ID 6613947, 12 p. (2021). MSC: 11P32 11J25 11P05 PDF BibTeX XML Cite \textit{X. Han} et al., J. Math. 2021, Article ID 6613947, 12 p. (2021; Zbl 1477.11175) Full Text: DOI OpenURL
Mu, Quanwu; Xi, Liyan A Diophantine problem with unlike powers of primes. (English) Zbl 1477.11176 J. Math. 2021, Article ID 5528753, 9 p. (2021). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{Q. Mu} and \textit{L. Xi}, J. Math. 2021, Article ID 5528753, 9 p. (2021; Zbl 1477.11176) Full Text: DOI OpenURL
Xue, Fei; Zhang, Min; Li, Jinjiang On the Waring-Goldbach problem for one square and five cubes in short intervals. (English) Zbl 07361086 Czech. Math. J. 71, No. 2, 563-589 (2021). MSC: 11P05 11P32 11P55 PDF BibTeX XML Cite \textit{F. Xue} et al., Czech. Math. J. 71, No. 2, 563--589 (2021; Zbl 07361086) Full Text: DOI OpenURL
Mishra, Bhawesh Intersective polynomials arising from sums of powers. (English) Zbl 1494.11038 Commun. Algebra 49, No. 6, 2633-2644 (2021). Reviewer: Armen Bagdasaryan (Madīnat al-Kuwait) MSC: 11D79 11B30 11P05 PDF BibTeX XML Cite \textit{B. Mishra}, Commun. Algebra 49, No. 6, 2633--2644 (2021; Zbl 1494.11038) Full Text: DOI arXiv OpenURL
Song, Yanbo A note on primes of the form \(\lfloor\alpha p+\beta\rfloor\). (English) Zbl 1470.11256 J. Number Theory 225, 1-17 (2021). Reviewer: Luis Gallardo (Brest) MSC: 11P32 11P05 PDF BibTeX XML Cite \textit{Y. Song}, J. Number Theory 225, 1--17 (2021; Zbl 1470.11256) Full Text: DOI OpenURL
Hu, Liqun; Kong, Yafang; Liu, Zhixin A pair of equations in four prime squares and powers of 2. (English) Zbl 1469.11395 Ramanujan J. 54, No. 1, 79-92 (2021). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{L. Hu} et al., Ramanujan J. 54, No. 1, 79--92 (2021; Zbl 1469.11395) Full Text: DOI OpenURL
Zhang, Min; Li, Jinjiang Exceptional set for sums of unlike powers of primes. II. (English) Zbl 1473.11186 Ramanujan J. 55, No. 1, 131-140 (2021). MSC: 11P05 11P32 11P55 PDF BibTeX XML Cite \textit{M. Zhang} and \textit{J. Li}, Ramanujan J. 55, No. 1, 131--140 (2021; Zbl 1473.11186) Full Text: DOI OpenURL
Ching, Tak Wing; Tsang, Kai Man Waring-Goldbach problem involving cubes of primes. (English) Zbl 1470.11252 Math. Z. 297, No. 3-4, 1105-1117 (2021). Reviewer: Luis Gallardo (Brest) MSC: 11P32 11P55 11N36 11P05 PDF BibTeX XML Cite \textit{T. W. Ching} and \textit{K. M. Tsang}, Math. Z. 297, No. 3--4, 1105--1117 (2021; Zbl 1470.11252) Full Text: DOI OpenURL
Podestá, Ricardo A.; Videla, Denis E. The Waring’s problem over finite fields through generalized Paley graphs. (English) Zbl 1468.11208 Discrete Math. 344, No. 5, Article ID 112324, 13 p. (2021). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11B30 PDF BibTeX XML Cite \textit{R. A. Podestá} and \textit{D. E. Videla}, Discrete Math. 344, No. 5, Article ID 112324, 13 p. (2021; Zbl 1468.11208) Full Text: DOI arXiv OpenURL
Chan, Wai Kiu; Icaza, María Inés Hermite reduction and a Waring’s problem for integral quadratic forms over number fields. (English) Zbl 1465.11091 Trans. Am. Math. Soc. 374, No. 4, 2967-2985 (2021). Reviewer: Ahmet Tekcan (Bursa) MSC: 11E12 11E25 11E39 PDF BibTeX XML Cite \textit{W. K. Chan} and \textit{M. I. Icaza}, Trans. Am. Math. Soc. 374, No. 4, 2967--2985 (2021; Zbl 1465.11091) Full Text: DOI arXiv OpenURL
Vaughan, R. C. On some questions of partitio numerorum: tres cubi. (English) Zbl 1461.11131 Glasg. Math. J. 63, No. 1, 223-244 (2021). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 11P05 11P21 11P32 11N36 PDF BibTeX XML Cite \textit{R. C. Vaughan}, Glasg. Math. J. 63, No. 1, 223--244 (2021; Zbl 1461.11131) Full Text: DOI OpenURL
Petrov, Zhivko H.; Todorova, Tatyana L. Representation of natural numbers by sum of four squares of almost-prime having a special form. (English) Zbl 07663197 God. Sofiĭ. Univ., Fak. Mat. Inform. 107, 15-29 (2020). MSC: 11P05 11N36 PDF BibTeX XML Cite \textit{Z. H. Petrov} and \textit{T. L. Todorova}, God. Sofiĭ. Univ., Fak. Mat. Inform. 107, 15--29 (2020; Zbl 07663197) Full Text: Link OpenURL
Cai, Yong; Hu, Liqun A pair of equations in unlike powers of primes and powers of 2. (English) Zbl 1475.11182 Open Math. 18, 662-670 (2020). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{Y. Cai} and \textit{L. Hu}, Open Math. 18, 662--670 (2020; Zbl 1475.11182) Full Text: DOI OpenURL
Cantarini, Marco; Gambini, Alessandro; Zaccagnini, Alessandro A note on an average additive problem with prime numbers. (English) Zbl 1473.11188 Funct. Approximatio, Comment. Math. 63, No. 2, 215-226 (2020). MSC: 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{M. Cantarini} et al., Funct. Approximatio, Comment. Math. 63, No. 2, 215--226 (2020; Zbl 1473.11188) Full Text: DOI arXiv OpenURL
Cantarini, Marco; Gambini, Alessandro; Languasco, Alessandro; Zaccagnini, Alessandro On an average ternary problem with prime powers. (English) Zbl 1468.11210 Ramanujan J. 53, No. 1, 155-166 (2020). MSC: 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{M. Cantarini} et al., Ramanujan J. 53, No. 1, 155--166 (2020; Zbl 1468.11210) Full Text: DOI arXiv OpenURL
Evert, Eric; Helton, J. William; Huang, Shiyuan; Nie, Jiawang Efficient evaluation of noncommutative polynomials using tensor and noncommutative Waring decompositions. (English) Zbl 1468.16040 Numer. Funct. Anal. Optim. 42, No. 1, 39-68 (2020). Reviewer: Luca Chiantini (Siena) MSC: 16S38 15A69 11P05 46L52 PDF BibTeX XML Cite \textit{E. Evert} et al., Numer. Funct. Anal. Optim. 42, No. 1, 39--68 (2020; Zbl 1468.16040) Full Text: DOI arXiv OpenURL
Zhao, Xiaodong Exceptional set of Waring-Goldbach problem with unequal powers of primes. (English) Zbl 1458.11143 Taiwanese J. Math. 24, No. 4, 817-824 (2020). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{X. Zhao}, Taiwanese J. Math. 24, No. 4, 817--824 (2020; Zbl 1458.11143) Full Text: DOI Euclid OpenURL
Pliego, Javier On squares of sums of three cubes. (English) Zbl 1464.11100 Q. J. Math. 71, No. 4, 1219-1235 (2020). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{J. Pliego}, Q. J. Math. 71, No. 4, 1219--1235 (2020; Zbl 1464.11100) Full Text: DOI arXiv Link OpenURL
Ghidelli, Luca Arbitrarily long gaps between the values of positive-definite cubic and biquadratic diagonal forms. (English) Zbl 1489.11055 J. Lond. Math. Soc., II. Ser. 102, No. 1, 43-68 (2020). Reviewer: Victor Wang (Princeton) MSC: 11D85 11B05 11P05 11R37 11R45 PDF BibTeX XML Cite \textit{L. Ghidelli}, J. Lond. Math. Soc., II. Ser. 102, No. 1, 43--68 (2020; Zbl 1489.11055) Full Text: DOI arXiv OpenURL
Languasco, Alessandro; Zaccagnini, Alessandro Short intervals asymptotic formulae for binary problems with prime powers. II. (English) Zbl 1469.11396 J. Aust. Math. Soc. 109, No. 3, 351-370 (2020). Reviewer: Luis Gallardo (Brest) MSC: 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{A. Languasco} and \textit{A. Zaccagnini}, J. Aust. Math. Soc. 109, No. 3, 351--370 (2020; Zbl 1469.11396) Full Text: DOI arXiv OpenURL
Ansola, Macarena; Díaz-Cano, Antonio; Ángeles Zurro, María Waring problem for binary real forms. (Spanish) Zbl 1446.11183 Gac. R. Soc. Mat. Esp. 23, No. 1, 147-162 (2020). MSC: 11P05 11E10 PDF BibTeX XML Cite \textit{M. Ansola} et al., Gac. R. Soc. Mat. Esp. 23, No. 1, 147--162 (2020; Zbl 1446.11183) OpenURL
Hughes, Kevin \(\ell^p\)-improving for discrete spherical averages. (Gain d’intégrabilité \(\ell^p\) pour les moyennes sphériques discrètes.) (English. French summary) Zbl 1459.42026 Ann. Henri Lebesgue 3, 959-980 (2020). MSC: 42B25 11P05 11P55 11L07 PDF BibTeX XML Cite \textit{K. Hughes}, Ann. Henri Lebesgue 3, 959--980 (2020; Zbl 1459.42026) Full Text: DOI arXiv OpenURL
Brešar, Matej Commutators and images of noncommutative polynomials. (English) Zbl 1459.16022 Adv. Math. 374, Article ID 107346, 21 p. (2020). Reviewer: Allan Berele (Chicago) MSC: 16R10 16R60 16S50 46L05 PDF BibTeX XML Cite \textit{M. Brešar}, Adv. Math. 374, Article ID 107346, 21 p. (2020; Zbl 1459.16022) Full Text: DOI arXiv OpenURL
Zhao, Wenjia Hua’s theorem on five squares of primes. (English) Zbl 1469.11275 Front. Math. China 15, No. 4, 835-850 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L07 11L20 11N13 11P05 11P32 PDF BibTeX XML Cite \textit{W. Zhao}, Front. Math. China 15, No. 4, 835--850 (2020; Zbl 1469.11275) Full Text: DOI OpenURL
Liu, Yuhui On sums of two prime squares, four prime cubes and powers of two. (English) Zbl 1470.11253 Bull. Aust. Math. Soc. 102, No. 2, 207-216 (2020). Reviewer: Mihály Szalay (Budapest) MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{Y. Liu}, Bull. Aust. Math. Soc. 102, No. 2, 207--216 (2020; Zbl 1470.11253) Full Text: DOI OpenURL
Alnaser, Ala; Cochrane, Todd; Ostergaard, Misty; Spencer, Craig Waring numbers for diagonal congruences. (English) Zbl 1453.11124 Rocky Mt. J. Math. 50, No. 3, 825-838 (2020). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11D79 11P55 PDF BibTeX XML Cite \textit{A. Alnaser} et al., Rocky Mt. J. Math. 50, No. 3, 825--838 (2020; Zbl 1453.11124) Full Text: DOI Euclid OpenURL
Zhao, Xiaodong; Ge, Wenxu Eight cubes of primes and 204 powers of 2. (English) Zbl 1470.11257 Int. J. Number Theory 16, No. 7, 1547-1555 (2020). Reviewer: Mihály Szalay (Budapest) MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{X. Zhao} and \textit{W. Ge}, Int. J. Number Theory 16, No. 7, 1547--1555 (2020; Zbl 1470.11257) Full Text: DOI OpenURL
Eminyan, Karapet M. Waring’s problem in natural numbers of special form. (English. Russian original) Zbl 1451.11090 Sb. Math. 211, No. 5, 733-749 (2020); translation from Mat. Sb. 211, No. 5, 126-142 (2020). MSC: 11L07 11A63 11P05 PDF BibTeX XML Cite \textit{K. M. Eminyan}, Sb. Math. 211, No. 5, 733--749 (2020; Zbl 1451.11090); translation from Mat. Sb. 211, No. 5, 126--142 (2020) Full Text: DOI OpenURL
Liu, Zhixin; Zhang, Rui Small solutions of an equation with unequal powers of primes. (English) Zbl 1459.11196 Acta Arith. 195, No. 1, 57-68 (2020). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11P32 PDF BibTeX XML Cite \textit{Z. Liu} and \textit{R. Zhang}, Acta Arith. 195, No. 1, 57--68 (2020; Zbl 1459.11196) Full Text: DOI OpenURL
Kim, Daejun On a quadratic Waring’s problem with congruence conditions. (English) Zbl 1448.11077 Acta Arith. 194, No. 1, 73-97 (2020). Reviewer: Guram Gogishvili (Tbilisi) MSC: 11E12 11E25 11P05 PDF BibTeX XML Cite \textit{D. Kim}, Acta Arith. 194, No. 1, 73--97 (2020; Zbl 1448.11077) Full Text: DOI arXiv OpenURL
Ching, Tak Wing A Roth-type theorem with mixed powers. (English) Zbl 1453.11126 Ramanujan J. 52, No. 3, 581-604 (2020). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11B30 11P55 PDF BibTeX XML Cite \textit{T. W. Ching}, Ramanujan J. 52, No. 3, 581--604 (2020; Zbl 1453.11126) Full Text: DOI OpenURL