Chen, Gongrui On exceptional sets in the Waring-Goldbach problem for fifth powers. (English) Zbl 07739360 Ramanujan J. 62, No. 1, 329-346 (2023). MSC: 11P32 11P55 11P05 PDF BibTeX XML Cite \textit{G. Chen}, Ramanujan J. 62, No. 1, 329--346 (2023; Zbl 07739360) Full Text: DOI
Li, Jinjiang; Zhang, Min; Xue, Fei On a ternary Diophantine equation involving fractional powers with prime variables of a special form. (English) Zbl 1512.11061 Ramanujan J. 58, No. 4, 1171-1199 (2022). Reviewer: Thomas Stoll (Vandœuvre-lès Nancy) MSC: 11L07 11L20 11P05 11P32 11N36 PDF BibTeX XML Cite \textit{J. Li} et al., Ramanujan J. 58, No. 4, 1171--1199 (2022; Zbl 1512.11061) Full Text: DOI
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
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
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 PDF BibTeX XML Cite \textit{Z. Feng} et al., J. Number Theory 211, 139--154 (2020; Zbl 1445.11110) 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 PDF BibTeX XML Cite \textit{T. W. Ching}, J. Number Theory 212, 233--264 (2020; Zbl 1437.11144) Full Text: DOI
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
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
Lü, Guangshi On sum of one prime, two squares of primes and powers of 2. (English) Zbl 1454.11180 Monatsh. Math. 187, No. 1, 113-123 (2018). MSC: 11P32 11P05 11N36 11P55 PDF BibTeX XML Cite \textit{G. Lü}, Monatsh. Math. 187, No. 1, 113--123 (2018; Zbl 1454.11180) Full Text: DOI
Ge, Wenxu; Wang, Tianqin On Diophantine problems with mixed powers of primes. (English) Zbl 1422.11205 Acta Arith. 182, No. 2, 183-199 (2018). MSC: 11P32 11D75 11P55 PDF BibTeX XML Cite \textit{W. Ge} and \textit{T. Wang}, Acta Arith. 182, No. 2, 183--199 (2018; Zbl 1422.11205) Full Text: DOI
Gambini, Alessandro; Languasco, Alessandro; Zaccagnini, Alessandro A Diophantine approximation problem with two primes and one \(k\)-th power of a prime. (English) Zbl 1441.11067 J. Number Theory 188, 210-228 (2018). MSC: 11D75 11J25 11P32 11P55 PDF BibTeX XML Cite \textit{A. Gambini} et al., J. Number Theory 188, 210--228 (2018; Zbl 1441.11067) Full Text: DOI arXiv
Li, Jinjiang; Zhang, Min Hua’s theorem with the primes in Piatetski-Shapiro prime sets. (English) Zbl 1428.11177 Int. J. Number Theory 14, No. 1, 193-220 (2018). MSC: 11P32 11P55 11L07 PDF BibTeX XML Cite \textit{J. Li} and \textit{M. Zhang}, Int. J. Number Theory 14, No. 1, 193--220 (2018; Zbl 1428.11177) Full Text: DOI arXiv
Rakhmonov, Z. Kh.; Rakhmonov, F. Z. Short cubic exponential sums over primes. (English. Russian original) Zbl 1384.11086 Proc. Steklov Inst. Math. 296, 211-233 (2017); translation from Tr. Mat. Inst. Steklova 296, 220-242 (2017). Reviewer: Stephan Baier (West Bengal) MSC: 11L20 PDF BibTeX XML Cite \textit{Z. Kh. Rakhmonov} and \textit{F. Z. Rakhmonov}, Proc. Steklov Inst. Math. 296, 211--233 (2017; Zbl 1384.11086); translation from Tr. Mat. Inst. Steklova 296, 220--242 (2017) Full Text: DOI
Tsang, Kai-Man; Zhao, Lilu On Lagrange’s four squares theorem with almost prime variables. (English) Zbl 1372.11096 J. Reine Angew. Math. 726, 129-171 (2017). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11N36 11P32 11E25 11P05 11P55 PDF BibTeX XML Cite \textit{K.-M. Tsang} and \textit{L. Zhao}, J. Reine Angew. Math. 726, 129--171 (2017; Zbl 1372.11096) Full Text: DOI Link
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 PDF BibTeX XML Cite \textit{A. Kumchev} and \textit{H. Liu}, J. Number Theory 176, 344--364 (2017; Zbl 1379.11087) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \textit{L. Yang} and \textit{L. Hu}, J. Math. Anal. Appl. 440, No. 1, 145--154 (2016; Zbl 1415.11124) Full Text: DOI
Mu, Quanwu Diophantine approximation with four squares and one \(k\)th power of primes. (English) Zbl 1396.11059 Ramanujan J. 39, No. 3, 481-496 (2016). MSC: 11D75 11P32 PDF BibTeX XML Cite \textit{Q. Mu}, Ramanujan J. 39, No. 3, 481--496 (2016; Zbl 1396.11059) 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 PDF BibTeX XML Cite \textit{L. Hu} and \textit{L. Yang}, J. Number Theory 160, 451--462 (2016; Zbl 1332.11091) 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 PDF BibTeX XML Cite \textit{A. Languasco} and \textit{A. Zaccagnini}, J. Number Theory 159, 45--58 (2016; Zbl 1351.11064) Full Text: DOI arXiv
Yao, Yanjun Sums of nine almost equal prime cubes. (English) Zbl 1329.11110 Front. Math. China 9, No. 5, 1131-1140 (2014). Reviewer: Mihály Szalay (Budapest) MSC: 11P55 11P05 11P32 PDF BibTeX XML Cite \textit{Y. Yao}, Front. Math. China 9, No. 5, 1131--1140 (2014; Zbl 1329.11110) Full Text: DOI
Tang, Hengcai; Zhao, Feng Waring-Goldbach problem for fourth powers in short intervals. (English) Zbl 1317.11101 Front. Math. China 8, No. 6, 1407-1423 (2013). MSC: 11P32 11P05 11N36 11P55 PDF BibTeX XML Cite \textit{H. Tang} and \textit{F. Zhao}, Front. Math. China 8, No. 6, 1407--1423 (2013; Zbl 1317.11101) Full Text: DOI
Liu, Zhixin; Sun, Haiwei Diophantine approximation with one prime and three squares of primes. (English) Zbl 1281.11029 Ramanujan J. 30, No. 3, 327-340 (2013). MSC: 11D75 11P32 11P55 PDF BibTeX XML Cite \textit{Z. Liu} and \textit{H. Sun}, Ramanujan J. 30, No. 3, 327--340 (2013; Zbl 1281.11029) Full Text: DOI
Wang, Yuchao On the sum of a prime and a \(k\)-th power of prime in short intervals. (English) Zbl 1294.11176 Acta Math. Hung. 135, No. 3, 248-269 (2012). MSC: 11P32 11L20 11N36 11P55 PDF BibTeX XML Cite \textit{Y. Wang}, Acta Math. Hung. 135, No. 3, 248--269 (2012; Zbl 1294.11176) Full Text: DOI
Liu, Zhixin; Sun, Qingfeng Sums of cubes of primes in short intervals. (English) Zbl 1347.11071 Ramanujan J. 28, No. 3, 309-321 (2012). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{Z. Liu} and \textit{Q. Sun}, Ramanujan J. 28, No. 3, 309--321 (2012; Zbl 1347.11071) Full Text: DOI
Laporta, Maurizio On the number of representations in the Waring-Goldbach problem with a prime variable in an arithmetic progression. (English. French summary) Zbl 1315.11087 J. Théor. Nombres Bordx. 24, No. 2, 355-368 (2012). Reviewer: Zhixin Liu (Tianjin) MSC: 11P05 11P32 11P55 PDF BibTeX XML Cite \textit{M. Laporta}, J. Théor. Nombres Bordx. 24, No. 2, 355--368 (2012; Zbl 1315.11087) Full Text: DOI Numdam
Cai, Yingchun; Lu, Minggao On the slim exceptional set for the Lagrange four squares theorem. (English) Zbl 1299.11074 Acta Math. Hung. 134, No. 1-2, 115-131 (2012). MSC: 11P32 11N36 PDF BibTeX XML Cite \textit{Y. Cai} and \textit{M. Lu}, Acta Math. Hung. 134, No. 1--2, 115--131 (2012; Zbl 1299.11074) Full Text: DOI
Tang, Hengcai A note on some results of Hua in short intervals. (English) Zbl 1282.11138 Lith. Math. J. 51, No. 1, 75-81 (2011). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{H. Tang}, Lith. Math. J. 51, No. 1, 75--81 (2011; Zbl 1282.11138) Full Text: DOI
Liu, Zhixin A result on Waring-Goldbach problem for cubes. (English) Zbl 1328.11101 Lith. Math. J. 51, No. 1, 13-25 (2011). Reviewer: K.-M. Tsang (Hong Kong) MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{Z. Liu}, Lith. Math. J. 51, No. 1, 13--25 (2011; Zbl 1328.11101) Full Text: DOI
Liu, Jianya Integral points on quadrics with prime coordinates. (English) Zbl 1292.11073 Monatsh. Math. 164, No. 4, 439-465 (2011). Reviewer: Dasheng Wei (Beijing) MSC: 11G35 11E12 11L20 14G25 PDF BibTeX XML Cite \textit{J. Liu}, Monatsh. Math. 164, No. 4, 439--465 (2011; Zbl 1292.11073) Full Text: DOI
Li, Weiping; Wang, Tianze Diophantine approximation with one prime and three squares of primes. (English) Zbl 1234.11036 Ramanujan J. 25, No. 3, 343-357 (2011). Reviewer: Koichi Kawada (Morioka) MSC: 11D75 11P32 11P55 PDF BibTeX XML Cite \textit{W. Li} and \textit{T. Wang}, Ramanujan J. 25, No. 3, 343--357 (2011; Zbl 1234.11036) Full Text: DOI
Zhao, F. Sums of almost equal prime cubes. (English) Zbl 1224.11088 Acta Math. Hung. 126, No. 3, 279-293 (2010). Reviewer: Roger Heath-Brown (Oxford) MSC: 11P32 11P05 11L20 11P55 PDF BibTeX XML Cite \textit{F. Zhao}, Acta Math. Hung. 126, No. 3, 279--293 (2010; Zbl 1224.11088) Full Text: DOI
Lü, Guangshi; Tang, Hengcai On some results of Hua in short intervals. (English) Zbl 1280.11060 Lith. Math. J. 50, No. 1, 54-70 (2010). Reviewer: Giovanni Coppola (Avellino) MSC: 11P32 11P05 11L20 11P55 PDF BibTeX XML Cite \textit{G. Lü} and \textit{H. Tang}, Lith. Math. J. 50, No. 1, 54--70 (2010; Zbl 1280.11060) Full Text: DOI
Lü, Guangshi; Sun, Haiwei On a generalization of Hua’s theorem with five squares of primes. (English) Zbl 1199.11128 Acta Math. Hung. 122, No. 3, 273-282 (2009). Reviewer: Mihály Szalay (Budapest) MSC: 11P32 11N36 11P55 PDF BibTeX XML Cite \textit{G. Lü} and \textit{H. Sun}, Acta Math. Hung. 122, No. 3, 273--282 (2009; Zbl 1199.11128) Full Text: DOI
Lü, Guangshi; Zhai, Wenguang On the representation of large integers as sums of four almost equal squares of primes. (English) Zbl 1181.11069 Ramanujan J. 18, No. 1, 1-10 (2009). Reviewer: Florin Nicolae (Berlin) MSC: 11P32 11P55 11L20 11P05 PDF BibTeX XML Cite \textit{G. Lü} and \textit{W. Zhai}, Ramanujan J. 18, No. 1, 1--10 (2009; Zbl 1181.11069) Full Text: DOI
Wang, Tianze Small solutions of quadratic equations with prime variables in arithmetic progressions. (English) Zbl 1263.11092 Acta Math. Sin., Engl. Ser. 25, No. 2, 299-320 (2009). MSC: 11P32 11P55 11D85 11D09 PDF BibTeX XML Cite \textit{T. Wang}, Acta Math. Sin., Engl. Ser. 25, No. 2, 299--320 (2009; Zbl 1263.11092) Full Text: DOI
Sun, Qingfeng; Tang, Hengcai Hua’s theorem with \(s\) almost equal prime variables. (English) Zbl 1188.11051 Acta Math. Sin., Engl. Ser. 25, No. 7, 1145-1156 (2009). Reviewer: Scott T. Parsell (West Chester) MSC: 11P32 11P05 11P55 11N36 PDF BibTeX XML Cite \textit{Q. Sun} and \textit{H. Tang}, Acta Math. Sin., Engl. Ser. 25, No. 7, 1145--1156 (2009; Zbl 1188.11051) Full Text: DOI
Kumchev, Angel V.; Liu, Jianya Sums of primes and squares of primes in short intervals. (English) Zbl 1194.11098 Monatsh. Math. 157, No. 4, 335-363 (2009). Reviewer: Yuk-Kam Lau (Pokfulam) MSC: 11P32 11L20 11N36 11P55 PDF BibTeX XML Cite \textit{A. V. Kumchev} and \textit{J. Liu}, Monatsh. Math. 157, No. 4, 335--363 (2009; Zbl 1194.11098) Full Text: DOI arXiv Link
Lü, Guangshi; Meng, Xianmeng On sums of a prime and four prime squares in short intervals. (English) Zbl 1186.11062 Acta Math. Sin., Engl. Ser. 24, No. 8, 1291-1302 (2008). Reviewer: K.-M. Tsang (Hong Kong) MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{G. Lü} and \textit{X. Meng}, Acta Math. Sin., Engl. Ser. 24, No. 8, 1291--1302 (2008; Zbl 1186.11062) Full Text: DOI
Green, Ben; Tao, Terence Quadratic uniformity of the Möbius function. (English) Zbl 1160.11017 Ann. Inst. Fourier 58, No. 6, 1863-1935 (2008). Reviewer: Tom Sanders (Cambridge) MSC: 11B99 PDF BibTeX XML Cite \textit{B. Green} and \textit{T. Tao}, Ann. Inst. Fourier 58, No. 6, 1863--1935 (2008; Zbl 1160.11017) Full Text: DOI arXiv Numdam EuDML
Lü, Guangshi; Xu, Yunfei Hua’s theorem with nine almost equal prime variables. (English) Zbl 1164.11062 Acta Math. Hung. 116, No. 4, 309-326 (2007). Reviewer: Sándor Turjányi (Debrecen) MSC: 11P32 11P05 11N36 11P55 PDF BibTeX XML Cite \textit{G. Lü} and \textit{Y. Xu}, Acta Math. Hung. 116, No. 4, 309--326 (2007; Zbl 1164.11062) Full Text: DOI
Liu, Jianya; Lü, Guangshi; Zhan, Tao Exponential sums over primes in short intervals. (English) Zbl 1106.11033 Sci. China, Ser. A 49, No. 5, 611-619 (2006). Reviewer: Angel V. Kumchev (Towson) MSC: 11L20 11L07 11P32 11P55 PDF BibTeX XML Cite \textit{J. Liu} et al., Sci. China, Ser. A 49, No. 5, 611--619 (2006; Zbl 1106.11033) Full Text: DOI
Lü, Guangshi Hua’s theorem on five almost equal prime squares. (English) Zbl 1102.11054 Acta Math. Sin., Engl. Ser. 22, No. 3, 907-916 (2006). Reviewer: George Greaves (Cardiff) MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{G. Lü}, Acta Math. Sin., Engl. Ser. 22, No. 3, 907--916 (2006; Zbl 1102.11054) Full Text: DOI
Bauer, Claus Sums of five almost equal prime squares. (English) Zbl 1101.11041 Acta Math. Sin., Engl. Ser. 21, No. 4, 833-840 (2005). Reviewer: George Greaves (Cardiff) MSC: 11P32 11P55 11L07 PDF BibTeX XML Cite \textit{C. Bauer}, Acta Math. Sin., Engl. Ser. 21, No. 4, 833--840 (2005; Zbl 1101.11041) Full Text: DOI
Liu, Jianya; Zhan, Tao The exceptional set in Hua’s theorem for three squares of primes. (English) Zbl 1142.11071 Acta Math. Sin., Engl. Ser. 21, No. 2, 335-350 (2005). MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{J. Liu} and \textit{T. Zhan}, Acta Math. Sin., Engl. Ser. 21, No. 2, 335--350 (2005; Zbl 1142.11071) Full Text: DOI
Zhang, Zhenfeng An additive problem with primes in arithmetic progressions. (English) Zbl 1159.11038 Acta Math. Sin., Engl. Ser. 21, No. 1, 155-168 (2005). Reviewer: Giovanni Coppola (Fisciano) MSC: 11P32 11P55 11N13 PDF BibTeX XML Cite \textit{Z. Zhang}, Acta Math. Sin., Engl. Ser. 21, No. 1, 155--168 (2005; Zbl 1159.11038) Full Text: DOI
Cook, Roger J. The value of additive forms at prime arguments. (English) Zbl 1047.11095 J. Théor. Nombres Bordx. 13, No. 1, 77-91 (2001). Reviewer: Koichi Kawada (Morioka) MSC: 11P32 11D75 11P55 PDF BibTeX XML Cite \textit{R. J. Cook}, J. Théor. Nombres Bordx. 13, No. 1, 77--91 (2001; Zbl 1047.11095) Full Text: DOI Numdam EuDML EMIS
Liu, Jianya; Zhan, Tao Hua’s theorem on prime squares in short intervals. (English) Zbl 0995.11057 Acta Math. Sin., Engl. Ser. 16, No. 4, 669-690 (2000). Reviewer: Koichi Kawada (Morioka) MSC: 11P32 11P05 11P55 PDF BibTeX XML Cite \textit{J. Liu} and \textit{T. Zhan}, Acta Math. Sin., Engl. Ser. 16, No. 4, 669--690 (2000; Zbl 0995.11057) Full Text: DOI
Liu, Jianya; Zhan, Tao Sums of five almost equal prime squares. II. (English) Zbl 0938.11048 Sci. China, Ser. A 41, No. 7, 710-722 (1998). Reviewer: K.-M.Tsang (Hong Kong) MSC: 11P32 11L20 PDF BibTeX XML Cite \textit{J. Liu} and \textit{T. Zhan}, Sci. China, Ser. A 41, No. 7, 710--722 (1998; Zbl 0938.11048) Full Text: DOI
Liu, Ming-Chit; Tsang, Kai-Man Small prime solutions of some additive equations. (English) Zbl 0719.11064 Monatsh. Math. 111, No. 2, 147-169 (1991). Reviewer: M.-C.Liu (Hongkong) MSC: 11P32 11P55 11D09 PDF BibTeX XML Cite \textit{M.-C. Liu} and \textit{K.-M. Tsang}, Monatsh. Math. 111, No. 2, 147--169 (1991; Zbl 0719.11064) Full Text: DOI EuDML
Plaksin, V. A. On a question of Hua Lookeng. (English. Russian original) Zbl 0708.11053 Math. Notes 47, No. 3, 278-286 (1990); translation from Mat. Zametki 47, No. 3, 78-90 (1990). Reviewer: S.Uchiyama MSC: 11P32 11N36 PDF BibTeX XML Cite \textit{V. A. Plaksin}, Math. Notes 47, No. 3, 278--286 (1990; Zbl 0708.11053); translation from Mat. Zametki 47, No. 3, 78--90 (1990) Full Text: DOI