Wang, Mengdi Waring-Goldbach problem in short intervals. (English) Zbl 07903062 Isr. J. Math. 261, No. 2, 637-669 (2024). Reviewer: Kaisa Matomäki (Turku) MSC: 11P32 11P05 11B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jinjiang; Long, Linji; Zhang, Min On Waring-Goldbach problem for two squares and five biquadrates. (English) Zbl 1543.11094 Indian J. Pure Appl. Math. 55, No. 2, 776-793 (2024). MSC: 11P05 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jinjiang; Xue, Fei; Zhang, Min A quaternary Diophantine inequality with prime numbers of a special form. (English) Zbl 1544.11064 Ramanujan J. 63, No. 2, 259-291 (2024). Reviewer: Mehdi Hassani (Zanjan) MSC: 11L07 11L20 11P05 11P32 11N36 × Cite Format Result Cite Review PDF Full Text: DOI
Brüdern, Jörg A quaternary Waring-Goldbach problem. (Ein quaternäres Waring-Goldbach-problem.) (German. English summary) Zbl 1545.11084 Maier, Helmut (ed.) et al., Number theory in memory of Eduard Wirsing. Cham: Springer. 73-90 (2023). MSC: 11P32 × Cite Format Result Cite Review PDF Full Text: DOI
Han, X.; Liu, H. Slim exceptional sets of Waring-Goldbach problems involving squares and cubes of primes. (English. Russian original) Zbl 1537.11128 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 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Zhu, Li On pairs of eight cubes of primes and powers of 2. (English) Zbl 07784972 Ramanujan J. 62, No. 4, 935-951 (2023). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Brüdern, Jörg Another Waring-Goldbach problem. (English) Zbl 1540.11135 Acta Arith. 210, 125-132 (2023). Reviewer: Michael Th. Rassias (Vari) MSC: 11P55 11P32 × Cite Format Result Cite Review PDF Full Text: DOI
Suzuki, Yuta On the sum of a prime power and a power in short intervals. (English) Zbl 1536.11154 Ark. Mat. 61, No. 2, 437-474 (2023). Reviewer: Mehdi Hassani (Zanjan) MSC: 11P32 11L07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Gongrui On exceptional sets in the Waring-Goldbach problem for fifth powers. (English) Zbl 1530.11078 Ramanujan J. 62, No. 1, 329-346 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11P55 11P05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jinjiang; Xue, Fei; Zhang, Min On the Waring-Goldbach problem for one square, four cubes and one biquadrate. (English) Zbl 1532.11132 Bull. Aust. Math. Soc. 107, No. 3, 416-431 (2023). Reviewer: Giovanni Coppola (Napoli) MSC: 11P05 11P32 11P55 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI Link
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 × Cite Format Result Cite Review PDF Full Text: DOI Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
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: 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Suzuki, Yuta On prime vs. prime power pairs. (English) Zbl 1476.11131 Math. Z. 295, No. 1-2, 681-710 (2020). Reviewer: Temenoujka Peneva (Plovdiv) MSC: 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Anderson, Theresa C. Quantitative \(l^p\)-improving for discrete spherical averages along the primes. (English) Zbl 1436.42026 J. Fourier Anal. Appl. 26, No. 2, Paper No. 32, 12 p. (2020). MSC: 42B25 42B20 42B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, Zhenzhen; Liu, Zhixin; Ma, Jing On exceptional sets of biquadratic Waring-Goldbach problem. (English) Zbl 1445.11110 J. Number Theory 211, 139-154 (2020). Reviewer: Stephan Baier (Haora) MSC: 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Ching, Tak Wing Lagrange’s equation with almost-prime variables. (English) Zbl 1437.11144 J. Number Theory 212, 233-264 (2020). Reviewer: Kaisa Matomäki (Turku) MSC: 11P32 11N36 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Gaiyun; Liu, Zhixin Small prime solutions to diagonal Diophantine equations. (English) Zbl 1459.11193 Int. J. Number Theory 16, No. 3, 447-460 (2020). MSC: 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Weiping; Ge, Wenxu; Wang, Tianze Small prime solutions of equations with powers 2 and 3. (Chinese. English summary) Zbl 1499.11300 Sci. Sin., Math. 49, No. 9, 1183-1200 (2019). MSC: 11P32 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Kawada, Koichi; Zhao, Lilu The Waring-Goldbach problem for cubes with an almost prime. (English) Zbl 1443.11208 Proc. Lond. Math. Soc. (3) 119, No. 4, 867-898 (2019). Reviewer: D. R. Heath-Brown (Garsington) MSC: 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Lü, Xiaodong On unequal powers of primes and powers of 2. (English) Zbl 1472.11269 Ramanujan J. 50, No. 1, 111-121 (2019). MSC: 11P32 11N05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Huafeng; Huang, Jing Diophantine approximation with mixed powers of primes. (English) Zbl 1447.11106 Taiwanese J. Math. 23, No. 5, 1073-1090 (2019). MSC: 11P32 11P55 11N36 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Cai, Yingchun; Zhu, Li Waring-Goldbach problem: two squares and three biquadrates. (English) Zbl 1447.11104 Taiwanese J. Math. 23, No. 5, 1061-1071 (2019). MSC: 11P32 11N36 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Min; Li, Jinjiang A Diophantine inequality with four prime variables. (English) Zbl 1448.11129 Int. J. Number Theory 15, No. 9, 1759-1770 (2019). Reviewer: István Gaál (Debrecen) MSC: 11J25 11P32 11P55 11L07 11L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lü, Xiaodong; Cai, Yingchun Waring-Goldbach problem: one square and nine biquadrates. (English) Zbl 1459.11197 Chin. Ann. Math., Ser. B 40, No. 2, 273-284 (2019). MSC: 11P32 11P55 11N36 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Y. Exceptional set for sums of unlike powers of primes. (English) Zbl 1441.11259 Int. J. Number Theory 15, No. 2, 339-352 (2019). MSC: 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Xiaodong Two prime squares, four prime cubes and powers of 2. (English) Zbl 1452.11121 Acta Arith. 187, No. 2, 143-150 (2019). Reviewer: Giovanni Coppola (Napoli) MSC: 11P32 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhixin; Zhang, Rui On sums of squares of primes and a \(k\)-th power of prime. (English) Zbl 1455.11133 Monatsh. Math. 188, No. 2, 269-285 (2019). Reviewer: Olivier Ramaré (Marseille) MSC: 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Languasco, Alessandro; Zaccagnini, Alessandro Short intervals asymptotic formulae for binary problems with prime powers. (English. French summary) Zbl 1441.11261 J. Théor. Nombres Bordx. 30, No. 2, 609-635 (2018). MSC: 11P32 11P55 11P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Akbal, Yıldırım; Güloğlu, Ahmet M. Waring-Goldbach problem with Piatetski-Shapiro primes. (English. French summary) Zbl 1443.11207 J. Théor. Nombres Bordx. 30, No. 2, 449-467 (2018). MSC: 11P32 11P05 11P55 11L03 11L07 11L15 11L20 11B83 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, M. Exceptional sets for sums of five and six almost equal prime cubes. (English) Zbl 1424.11146 Acta Math. Hung. 156, No. 2, 424-434 (2018). Reviewer: Štefan Porubský (Praha) MSC: 11P32 11D85 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yuhui On a Waring-Goldbach problem involving squares, cubes and biquadrates. (English) Zbl 1450.11105 Bull. Korean Math. Soc. 55, No. 6, 1659-1666 (2018). MSC: 11P32 11N36 × Cite Format Result Cite Review PDF Full Text: Link
Shi, Sanying; Liu, Li On the Waring-Goldbach problem for six cubes and two biquadrates. (English) Zbl 1456.11192 Chin. Ann. Math., Ser. B 39, No. 6, 1033-1046 (2018). MSC: 11P32 11P05 11N36 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Min; Li, Jinjiang Exceptional set for sums of unlike powers of primes. (English) Zbl 1443.11204 Taiwanese J. Math. 22, No. 4, 779-811 (2018). MSC: 11P05 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Gao, Gaiyun; Liu, Zhixin Results of Diophantine approximation by unlike powers of primes. (English) Zbl 1454.11179 Front. Math. China 13, No. 4, 797-808 (2018). MSC: 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Min; Li, Jinjiang Waring-Goldbach problem for unlike powers with almost equal variables. (English) Zbl 1445.11112 Int. J. Number Theory 14, No. 9, 2441-2472 (2018). MSC: 11P32 11P55 11P05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jinjiang; Zhang, Min On the Waring-Goldbach problem for one square and five cubes. (English) Zbl 1445.11111 Int. J. Number Theory 14, No. 9, 2425-2440 (2018). MSC: 11P32 11P55 11N36 11P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Min; Li, Jinjiang On two Diophantine inequalities over primes. (English) Zbl 1470.11249 Indag. Math., New Ser. 29, No. 5, 1393-1410 (2018). MSC: 11P05 11D75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Jinjiang; Zhang, Min On Waring-Goldbach problem for unlike powers. (English) Zbl 1411.11093 Int. J. Number Theory 14, No. 6, 1669-1687 (2018). Reviewer: Luis Gallardo (Brest) MSC: 11P05 11P32 11P55 11N36 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhixin Small prime solutions of a nonlinear equation. (English) Zbl 1431.11114 J. Number Theory 185, 479-489 (2018). MSC: 11P32 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Akbal, Yıldırım; Güloğlu, Ahmet M. On Waring-Goldbach problem with Piatetski-Shapiro primes. (English) Zbl 1432.11135 J. Number Theory 185, 80-92 (2018). MSC: 11P32 11P05 11P55 11L07 11L15 × Cite Format Result Cite Review PDF Full Text: DOI
Ching, Tak Wing Lagrange’s equation with one prime and three almost-primes. (English) Zbl 1433.11114 J. Number Theory 183, 442-465 (2018). MSC: 11P32 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yingjie; Cai, Yingchun On a Waring-Goldbach problem for mixed powers. (English) Zbl 1428.11178 Rocky Mt. J. Math. 47, No. 6, 1947-1961 (2017). MSC: 11P32 11P05 11N36 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Liu, Zhixin Diophantine approximation by unlike powers of primes. (English) Zbl 1428.11067 Int. J. Number Theory 13, No. 9, 2445-2452 (2017). MSC: 11D75 11J25 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Kumchev, Angel V.; Wooley, Trevor D. On the Waring-Goldbach problem for seventh and higher powers. (English) Zbl 1381.11099 Monatsh. Math. 183, No. 2, 303-310 (2017). Reviewer: Kaisa Matomäki (Turku) MSC: 11P32 11L20 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Zhixin Goldbach-Linnik type problems with unequal powers of primes. (English) Zbl 1422.11207 J. Number Theory 176, 439-448 (2017). MSC: 11P32 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Kumchev, Angel; Liu, Huafeng On sums of powers of almost equal primes. (English) Zbl 1379.11087 J. Number Theory 176, 344-364 (2017). Reviewer: Guram Gogishvili (Tbilisi) MSC: 11P32 11L20 11N36 11P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Languasco, Alessandro; Zaccagnini, Alessandro Short intervals asymptotic formulae for binary problems with primes and powers. I: Density 3/2. (English) Zbl 1422.11206 Ramanujan J. 42, No. 2, 371-383 (2017). MSC: 11P32 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Languasco, Alessandro Applications of some exponential sums on prime powers: a survey. (English) Zbl 1415.11127 Riv. Mat. Univ. Parma (N.S.) 7, No. 1, 19-37 (2016). MSC: 11P32 11P55 11P05 44A10 33C10 × Cite Format Result Cite Review PDF Full Text: arXiv
Cai, Yingchun Waring-Goldbach problem: two squares and higher powers. (English. French summary) Zbl 1415.11125 J. Théor. Nombres Bordx. 28, No. 3, 791-810 (2016). MSC: 11P32 11N36 × Cite Format Result Cite Review PDF Full Text: DOI
Yao, Yanjun; Zhang, Meng Waring-Goldbach problem for fourth powers with almost equal variables. (English) Zbl 1354.11066 Lith. Math. J. 56, No. 4, 572-581 (2016). MSC: 11P32 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Huafeng Two results on powers of two in Waring-Goldbach type problems. (English) Zbl 1393.11064 Int. J. Number Theory 12, No. 7, 1813-1825 (2016). Reviewer: Tatyana L. Todorova (Sofia) MSC: 11P32 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Languasco, Alessandro; Zaccagnini, Alessandro Short intervals asymptotic formulae for binary problems with primes and powers. II: Density 1. (English) Zbl 1350.11089 Monatsh. Math. 181, No. 2, 419-435 (2016). Reviewer: Giovanni Coppola (Avellino) MSC: 11P32 11P55 11P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Zhixin Small prime solutions to cubic Diophantine equations. II. (English) Zbl 1415.11128 Can. Math. Bull. 59, No. 3, 599-605 (2016). MSC: 11P32 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Kumchev, Angel V.; Wooley, Trevor D. On the Waring-Goldbach problem for eighth and higher powers. (English) Zbl 1358.11117 J. Lond. Math. Soc., II. Ser. 93, No. 3, 811-824 (2016). Reviewer: Mihály Szalay (Budapest) MSC: 11P32 11L20 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lü, Xiaodong; Mu, Quanwu On Waring-Goldbach problem of mixed powers. (English. French summary) Zbl 1415.11129 J. Théor. Nombres Bordx. 28, No. 2, 523-538 (2016). MSC: 11P32 11N36 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Bingrong Exponential sums over primes in short intervals and an application to the Waring-Goldbach problem. (English) Zbl 1407.11095 Mathematika 62, No. 2, 508-523 (2016). MSC: 11L20 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Meng Waring-Goldbach problems for unlike powers with almost equal variables. (English) Zbl 1335.11083 Front. Math. China 11, No. 2, 449-460 (2016). MSC: 11P05 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Li; Hu, Liqun Diagonal Diophantine equations with small prime variables. (English) Zbl 1415.11124 J. Math. Anal. Appl. 440, No. 1, 145-154 (2016). MSC: 11P05 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Taiyu Enlarged major arcs in the Waring-Goldbach problem. (English) Zbl 1408.11100 Int. J. Number Theory 12, No. 1, 205-217 (2016). MSC: 11P55 11P05 11P32 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Yingjie; Cai, Yingchun Waring-Goldbach problem: two squares and some higher powers. (English) Zbl 1402.11123 J. Number Theory 162, 116-136 (2016). MSC: 11P32 11N36 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Liqun; Yang, Li On pairs of equations in one prime, two prime squares and powers of 2. (English) Zbl 1332.11091 J. Number Theory 160, 451-462 (2016). Reviewer: Giovanni Coppola (Avellino) MSC: 11P32 11P05 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Languasco, Alessandro; Zaccagnini, Alessandro Sum of one prime and two squares of primes in short intervals. (English) Zbl 1351.11064 J. Number Theory 159, 45-58 (2016). Reviewer: Štefan Porubský (Praha) MSC: 11P32 11P55 11P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ren, Xiumin; Yao, Yanjun Exceptional set for sums of almost equal prime cubes. (Chinese. English summary) Zbl 1479.11174 Sci. Sin., Math. 45, No. 1, 23-30 (2015). MSC: 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, L. On unequal powers of primes and powers of \(2\). (English) Zbl 1374.11083 Acta Math. Hung. 146, No. 2, 405-420 (2015). MSC: 11P32 11P55 11N36 × Cite Format Result Cite Review PDF Full Text: DOI
Lü, Xiaodong Waring-Goldbach problem: two squares, two cubes and two biquadrates. (Chinese. English summary) Zbl 1340.11084 Chin. Ann. Math., Ser. A 36, No. 2, 161-174 (2015). MSC: 11P32 11N36 11P55 × Cite Format Result Cite Review PDF Full Text: DOI