Brüdern, Jörg; Wooley, Trevor D. On smooth Weyl sums over biquadrates and Waring’s problem. (English) Zbl 07565699 Acta Arith. 204, No. 1, 19-40 (2022). 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 07565699) Full Text: DOI 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). 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 07557857 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 07557857) 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 07556189 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 07556189) Full Text: Link OpenURL
Zhu, Li Goldbach-Linnik type problems on eight cubes of primes. (English) Zbl 07556060 Rocky Mt. J. Math. 52, No. 3, 1127-1139 (2022). MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{L. Zhu}, Rocky Mt. J. Math. 52, No. 3, 1127--1139 (2022; Zbl 07556060) 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 07523107 J. Korean Math. Soc. 59, No. 3, 439-448 (2022). MSC: 11P05 11P32 PDF BibTeX XML Cite \textit{Y. Liu}, J. Korean Math. Soc. 59, No. 3, 439--448 (2022; Zbl 07523107) 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 OpenURL
Campos Vargas, João On Artin’s conjecture for pairs of diagonal forms. (English) Zbl 07505288 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 07505288) Full Text: DOI OpenURL
Bajpai, Jitendra; Bhakta, Subham; García, Victor C. Exponential sums in prime fields for modular forms. (English) Zbl 07504603 Res. Number Theory 8, No. 1, Paper No. 18, 32 p. (2022). MSC: 11F30 11L07 11P05 11B37 11F80 11-XX PDF BibTeX XML Cite \textit{J. Bajpai} et al., Res. Number Theory 8, No. 1, Paper No. 18, 32 p. (2022; Zbl 07504603) Full Text: DOI OpenURL
Zhu, Li Goldbach-Linnik type problems with unequal powers of primes. (English) Zbl 07499620 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 07499620) 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 07490451 Ramanujan J. 57, No. 3, 863-905 (2022). MSC: 11P05 11P32 PDF BibTeX XML Cite \textit{A. Talmage}, Ramanujan J. 57, No. 3, 863--905 (2022; Zbl 07490451) Full Text: DOI arXiv OpenURL
Pliego, Javier Uniform bounds in Waring’s problem over some diagonal forms. (English) Zbl 07489537 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 07489537) Full Text: DOI arXiv OpenURL
Liu, Jingbo On a Waring’s problem for Hermitian lattices. (English) Zbl 07465710 Bull. Sci. Math. 174, Article ID 102970, 25 p. (2022). MSC: 11E39 11E12 11E20 PDF BibTeX XML Cite \textit{J. Liu}, Bull. Sci. Math. 174, Article ID 102970, 25 p. (2022; Zbl 07465710) Full Text: DOI OpenURL
Zhao, Xiaodong Goldbach-Linnik type problems on cubes of primes. (English) Zbl 07462097 Ramanujan J. 57, No. 1, 239-251 (2022). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{X. Zhao}, Ramanujan J. 57, No. 1, 239--251 (2022; Zbl 07462097) Full Text: DOI OpenURL
Ren, Xiumin; Zhang, Wei On sums of biquadratic powers with almost equal primes. (English) Zbl 07462087 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 07462087) Full Text: DOI 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) OpenURL
Banks, Tim; Hamblen, Spencer; Sherwin, Tim; Wright, Sal Sums of quaternion squares and a theorem of Watson. (English) Zbl 07483393 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 07483393) Full Text: DOI arXiv OpenURL
Zhang, Min; Li, Jinjiang On the Waring-Goldbach problem for squares, cubes and higher powers. (English) Zbl 07438420 Ramanujan J. 56, No. 3, 1123-1150 (2021). 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 07438420) 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 07413427 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 07413427) 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 07411001 Pac. J. Math. 313, No. 2, 327-342 (2021). MSC: 14N07 13F20 11P05 PDF BibTeX XML Cite \textit{L. Brustenga i Moncusí} and \textit{S. K. Masuti}, Pac. J. Math. 313, No. 2, 327--342 (2021; Zbl 07411001) 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
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
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 07399105 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 07399105) 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 07358300 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 07358300) 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
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 OpenURL
Ghidelli, Luca Arbitrarily long gaps between the values of positive-definite cubic and biquadratic diagonal forms. (English) Zbl 07288950 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 07288950) 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
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
Im, Bo-Hae; Larsen, Michael Waring’s problem for rational functions in one variable. (English) Zbl 1441.30008 Q. J. Math. 71, No. 2, 439-449 (2020). MSC: 30C10 PDF BibTeX XML Cite \textit{B.-H. Im} and \textit{M. Larsen}, Q. J. Math. 71, No. 2, 439--449 (2020; Zbl 1441.30008) Full Text: DOI arXiv OpenURL
Salmensuu, Juho On the Waring-Goldbach problem with almost equal summands. (English) Zbl 1471.11253 Mathematika 66, No. 2, 255-296 (2020). Reviewer: Sam Chow (Coventry) MSC: 11P05 11P32 11P55 11B30 PDF BibTeX XML Cite \textit{J. Salmensuu}, Mathematika 66, No. 2, 255--296 (2020; Zbl 1471.11253) Full Text: DOI arXiv OpenURL
Kulshrestha, Amit; Singh, Anupam Computing \(n\)-th roots in \(\text{SL}_{2}\) and Fibonacci polynomials. (English) Zbl 1443.20076 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 31, 20 p. (2020). Reviewer: Balasubramanian Sury (Bangalore) MSC: 20G15 11P05 11B39 PDF BibTeX XML Cite \textit{A. Kulshrestha} and \textit{A. Singh}, Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 31, 20 p. (2020; Zbl 1443.20076) Full Text: DOI arXiv OpenURL
Zhu, Li Waring-Goldbach problem: two squares and three biquadrates. (English) Zbl 1480.11121 Rocky Mt. J. Math. 50, No. 1, 355-367 (2020). Reviewer: Manfred G. Madritsch (Vandœuvre) MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{L. Zhu}, Rocky Mt. J. Math. 50, No. 1, 355--367 (2020; Zbl 1480.11121) Full Text: DOI Euclid OpenURL
Das, Pranabesh; Dey, Pallab Kanti; Rout, Sudhansu Sekhar Sums of fifth powers being a perfect power: a special case. (English) Zbl 1440.11044 J. Ramanujan Math. Soc. 35, No. 1, 23-33 (2020). MSC: 11D85 11D41 11P05 PDF BibTeX XML Cite \textit{P. Das} et al., J. Ramanujan Math. Soc. 35, No. 1, 23--33 (2020; Zbl 1440.11044) Full Text: Link OpenURL
Gamble, Madison; Hamblen, Spencer; Schildhauer, Blake; Truong, Chung Sums of cubes in quaternion rings. (English) Zbl 1445.11105 J. Integer Seq. 23, No. 4, Article 20.4.4, 9 p. (2020). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11R52 PDF BibTeX XML Cite \textit{M. Gamble} et al., J. Integer Seq. 23, No. 4, Article 20.4.4, 9 p. (2020; Zbl 1445.11105) Full Text: arXiv Link OpenURL
Li, Sanhua; Cai, Yingchun On a Diophantine inequality involving prime numbers. (English) Zbl 1444.11051 Ramanujan J. 52, No. 1, 163-174 (2020). Reviewer: István Gaál (Debrecen) MSC: 11D75 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{S. Li} and \textit{Y. Cai}, Ramanujan J. 52, No. 1, 163--174 (2020; Zbl 1444.11051) Full Text: DOI OpenURL
Elsholtz, Christian; Schlage-Puchta, Jan-Christoph The density of integers representable as the sum of four prime cubes. (English) Zbl 1445.11109 Acta Arith. 192, No. 4, 363-369 (2020). Reviewer: Mehdi Hassani (Zanjan) MSC: 11P32 11P05 11N36 PDF BibTeX XML Cite \textit{C. Elsholtz} and \textit{J.-C. Schlage-Puchta}, Acta Arith. 192, No. 4, 363--369 (2020; Zbl 1445.11109) Full Text: DOI arXiv OpenURL
Liu, Yuhui Exceptional set in Waring-Goldbach problem: two squares, two cubes and two sixth powers. (English) Zbl 1454.11178 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 8, 17 p. (2020). MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{Y. Liu}, Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 8, 17 p. (2020; Zbl 1454.11178) Full Text: DOI OpenURL
Zhang, Min; Li, Jinjiang On the sum of divisors of mixed powers in short intervals. (English) Zbl 1452.11118 Ramanujan J. 51, No. 2, 333-352 (2020). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P55 11E20 11L03 PDF BibTeX XML Cite \textit{M. Zhang} and \textit{J. Li}, Ramanujan J. 51, No. 2, 333--352 (2020; Zbl 1452.11118) Full Text: DOI OpenURL
Cantarini, Marco; Gambini, Alessandro; Zaccagnini, Alessandro On the average number of representations of an integer as a sum of like prime powers. (English) Zbl 1464.11102 Proc. Am. Math. Soc. 148, No. 4, 1499-1508 (2020). Reviewer: Luis Gallardo (Brest) MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{M. Cantarini} et al., Proc. Am. Math. Soc. 148, No. 4, 1499--1508 (2020; Zbl 1464.11102) Full Text: DOI arXiv OpenURL
Pierce, Lillian B. The Vinogradov mean value theorem [after Wooley, and Bourgain, Demeter and Guth]. (English) Zbl 1483.11216 Séminaire Bourbaki. Volume 2016/2017. Exposés 1120–1135. Société Mathématique de France (SMF). Astérisque 407, Exp. No. 1134, 479-564 (2019). MSC: 11P05 11N25 42B37 11-02 PDF BibTeX XML Cite \textit{L. B. Pierce}, Astérisque 407, Exp. No. 1134, 479--564 (2019; Zbl 1483.11216) Full Text: Link OpenURL
Li, Weiping; Ge, Wenxu; Wang, Tianze Small prime solutions of equations with powers 2 and 3. (Chinese. English summary) Zbl 07494814 Sci. Sin., Math. 49, No. 9, 1183-1200 (2019). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{W. Li} et al., Sci. Sin., Math. 49, No. 9, 1183--1200 (2019; Zbl 07494814) Full Text: DOI OpenURL
Chubarikov, Vladimir Nikolaevich Aleksandr Yakovlevich Khinchin (19.07.1894–18.11.1959). (Russian. English summary) Zbl 1455.01023 Chebyshevskiĭ Sb. 20, No. 4(72), 439-445 (2019). MSC: 01A70 11-03 11Jxx 11P05 PDF BibTeX XML Cite \textit{V. N. Chubarikov}, Chebyshevskiĭ Sb. 20, No. 4(72), 439--445 (2019; Zbl 1455.01023) Full Text: DOI MNR OpenURL
Reznick, Bruce Linearly dependent powers of binary quadratic forms. (English) Zbl 1456.11044 Pac. J. Math. 303, No. 2, 729-755 (2019). MSC: 11E76 11P05 14M99 11D25 11D41 PDF BibTeX XML Cite \textit{B. Reznick}, Pac. J. Math. 303, No. 2, 729--755 (2019; Zbl 1456.11044) Full Text: DOI arXiv OpenURL
Kane, Daniel M.; Sanna, Carlo; Shallit, Jeffrey Waring’s theorem for binary powers. (English) Zbl 1463.11148 Combinatorica 39, No. 6, 1335-1350 (2019). Reviewer: Štefan Porubský (Praha) MSC: 11P05 11B13 68R15 PDF BibTeX XML Cite \textit{D. M. Kane} et al., Combinatorica 39, No. 6, 1335--1350 (2019; Zbl 1463.11148) Full Text: DOI arXiv OpenURL
Tongsomporn, Janyarak; Oswald, Nicola; Steuding, Jörn Waring’s problem for Hurwitz quaternion integers. (English) Zbl 1462.11081 J. Integer Seq. 22, No. 8, Article 19.8.1, 13 p. (2019). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11D85 11R52 PDF BibTeX XML Cite \textit{J. Tongsomporn} et al., J. Integer Seq. 22, No. 8, Article 19.8.1, 13 p. (2019; Zbl 1462.11081) Full Text: Link OpenURL
Wang, Mengdi Exceptional sets for sums of almost equal prime cubes. (English) Zbl 1470.11248 Forum Math. 31, No. 6, 1489-1500 (2019). MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{M. Wang}, Forum Math. 31, No. 6, 1489--1500 (2019; Zbl 1470.11248) Full Text: DOI OpenURL
Zhang, Rui Slim exceptional set for sums of two squares, two cubes, and two biquadrates of primes. (English) Zbl 1459.11190 Front. Math. China 14, No. 5, 1017-1035 (2019). MSC: 11P05 11P32 11P55 PDF BibTeX XML Cite \textit{R. Zhang}, Front. Math. China 14, No. 5, 1017--1035 (2019; Zbl 1459.11190) Full Text: DOI OpenURL
Ge, Wenxu; Zhao, Feng; Wang, Tianqin On Diophantine approximation with one prime and three squares of primes. (English) Zbl 1459.11094 Front. Math. China 14, No. 4, 761-779 (2019). MSC: 11D75 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{W. Ge} et al., Front. Math. China 14, No. 4, 761--779 (2019; Zbl 1459.11094) Full Text: DOI OpenURL
Languasco, A.; Zaccagnini, A. Sums of four prime cubes in short intervals. (English) Zbl 1449.11100 Acta Math. Hung. 159, No. 1, 150-163 (2019). MSC: 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{A. Languasco} and \textit{A. Zaccagnini}, Acta Math. Hung. 159, No. 1, 150--163 (2019; Zbl 1449.11100) Full Text: DOI arXiv OpenURL
Hu, Liqun A pair of equations in one prime, two prime squares and powers of 2. (English) Zbl 1461.11132 Acta Arith. 191, No. 2, 191-200 (2019). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{L. Hu}, Acta Arith. 191, No. 2, 191--200 (2019; Zbl 1461.11132) Full Text: DOI OpenURL
Larsen, Michael; Nguyen, Dong Quan Ngoc Waring’s problem for unipotent algebraic groups. (Le problème de Waring pour les groupes algébriques unipotents.) (English. French summary) Zbl 1459.11189 Ann. Inst. Fourier 69, No. 4, 1857-1877 (2019). MSC: 11P05 20G15 14L15 PDF BibTeX XML Cite \textit{M. Larsen} and \textit{D. Q. N. Nguyen}, Ann. Inst. Fourier 69, No. 4, 1857--1877 (2019; Zbl 1459.11189) Full Text: DOI arXiv OpenURL
Cardona, Duván Pseudo-differential operators on \(\mathbb{Z}^n\) with applications to discrete fractional integral operators. (English) Zbl 1423.42014 Bull. Iran. Math. Soc. 45, No. 4, 1227-1241 (2019). Reviewer: Michael Perelmuter (Kyïv) MSC: 42B15 35S05 47G30 58J40 11P05 PDF BibTeX XML Cite \textit{D. Cardona}, Bull. Iran. Math. Soc. 45, No. 4, 1227--1241 (2019; Zbl 1423.42014) Full Text: DOI arXiv OpenURL
Kuo, Wentang; Liu, Yu-Ru; Zhao, Xiaomei The asymptotic estimates and Hasse principle for multidimensional Waring’s problem. (English) Zbl 1442.11137 Adv. Math. 353, 1-66 (2019). Reviewer: D. R. Heath-Brown (Garsington) MSC: 11P05 11P55 11T55 PDF BibTeX XML Cite \textit{W. Kuo} et al., Adv. Math. 353, 1--66 (2019; Zbl 1442.11137) Full Text: DOI OpenURL
Shiu, Peter Corrigendum to: “Counting sums of two squares: the Meissel-Lehmer method”. (English) Zbl 1476.11012 Math. Comput. 88, No. 320, 2935-2938 (2019). MSC: 11A25 11N35 11P05 11-04 PDF BibTeX XML Cite \textit{P. Shiu}, Math. Comput. 88, No. 320, 2935--2938 (2019; Zbl 1476.11012) Full Text: DOI OpenURL
Brüdern, Jörg Even ascending powers. (English) Zbl 1443.11203 Pańkowski, Łukasz (ed.) et al., Number theory week 2017. Proceedings of the conference on the occasion of the 60th birthday of Jerzy Kaczorowski, Poznań, Poland, September 4–8, 2017. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 118, 193-229 (2019). MSC: 11P05 11P55 PDF BibTeX XML Cite \textit{J. Brüdern}, Banach Cent. Publ. 118, 193--229 (2019; Zbl 1443.11203) Full Text: DOI OpenURL
Cochrane, Todd; Ostergaard, Misty; Spencer, Craig Cauchy-Davenport theorem for abelian groups and diagonal congruences. (English) Zbl 1469.11037 Proc. Am. Math. Soc. 147, No. 8, 3339-3345 (2019). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11B75 11D79 11D72 11P05 20K01 PDF BibTeX XML Cite \textit{T. Cochrane} et al., Proc. Am. Math. Soc. 147, No. 8, 3339--3345 (2019; Zbl 1469.11037) Full Text: DOI OpenURL
Dinitz, Jeffrey H.; Games, Richard A.; Roth, Robert L. Seeds for generalized taxicab numbers. (English) Zbl 1440.11011 J. Integer Seq. 22, No. 3, Article 19.3.3, 16 p. (2019). MSC: 11B37 11D41 11P05 PDF BibTeX XML Cite \textit{J. H. Dinitz} et al., J. Integer Seq. 22, No. 3, Article 19.3.3, 16 p. (2019; Zbl 1440.11011) Full Text: arXiv Link OpenURL
Wooley, Trevor D. Nested efficient congruencing and relatives of Vinogradov’s mean value theorem. (English) Zbl 1456.11149 Proc. Lond. Math. Soc. (3) 118, No. 4, 942-1016 (2019). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L15 11L07 11P55 PDF BibTeX XML Cite \textit{T. D. Wooley}, Proc. Lond. Math. Soc. (3) 118, No. 4, 942--1016 (2019; Zbl 1456.11149) Full Text: DOI arXiv OpenURL
Covert, David; Karabulut, Yesim Demiroğlu; Pakianathan, Jonathan Cayley digraphs associated to arithmetic groups. (English) Zbl 1407.15038 Graphs Comb. 35, No. 2, 393-417 (2019). MSC: 15B10 15B33 11P05 05C35 PDF BibTeX XML Cite \textit{D. Covert} et al., Graphs Comb. 35, No. 2, 393--417 (2019; Zbl 1407.15038) Full Text: DOI arXiv OpenURL
Beli, Constantin N.; Chan, Wai Kiu; Icaza, María Inés; Liu, Jingbo On a Waring’s problem for integral quadratic and Hermitian forms. (English) Zbl 1455.11062 Trans. Am. Math. Soc. 371, No. 8, 5505-5527 (2019). Reviewer: Meinhard Peters (Münster) MSC: 11E12 11E25 11E39 PDF BibTeX XML Cite \textit{C. N. Beli} et al., Trans. Am. Math. Soc. 371, No. 8, 5505--5527 (2019; Zbl 1455.11062) Full Text: DOI arXiv OpenURL
Demiroğlu Karabulut, Yeşim Waring’s problem in finite rings. (English) Zbl 1439.11262 J. Pure Appl. Algebra 223, No. 8, 3318-3329 (2019). MSC: 11P05 16K99 PDF BibTeX XML Cite \textit{Y. Demiroğlu Karabulut}, J. Pure Appl. Algebra 223, No. 8, 3318--3329 (2019; Zbl 1439.11262) Full Text: DOI arXiv OpenURL