Hu, Guangwei; Lü, Guangshi Jutila’s circle method and \(\mathrm{GL}(2) \times \mathrm{GL}(2)\) shifted convolution sums. (English) Zbl 1512.11041 J. Number Theory 242, 709-724 (2023). Reviewer: Ahmet Tekcan (Bursa) MSC: 11F30 11F66 11E76 11P55 PDFBibTeX XMLCite \textit{G. Hu} and \textit{G. Lü}, J. Number Theory 242, 709--724 (2023; Zbl 1512.11041) Full Text: DOI
Jiang, Yujiao; Lü, Guangshi; Wang, Zhiwei Averaged forms of two conjectures of Erdős and Pomerance, and their applications. (English) Zbl 1506.11125 Adv. Math. 409, Part A, Article ID 108592, 42 p. (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11P55 11N25 11N36 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Adv. Math. 409, Part A, Article ID 108592, 42 p. (2022; Zbl 1506.11125) Full Text: DOI
Hu, Guangwei; Lü, Guangshi Shifted convolution sums of \(\mathrm{GL}(m)\) cusp forms with \(\Theta\)-series. (English) Zbl 1475.11077 Ramanujan J. 56, No. 2, 555-584 (2021). MSC: 11F30 11P55 PDFBibTeX XMLCite \textit{G. Hu} and \textit{G. Lü}, Ramanujan J. 56, No. 2, 555--584 (2021; Zbl 1475.11077) Full Text: DOI
Hu, Guangwei; Lü, Guangshi Sums of higher divisor functions. (English) Zbl 1466.11065 J. Number Theory 220, 61-74 (2021). Reviewer: József Sándor (Cluj-Napoca) MSC: 11N37 11E25 11P55 PDFBibTeX XMLCite \textit{G. Hu} and \textit{G. Lü}, J. Number Theory 220, 61--74 (2021; Zbl 1466.11065) 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 PDFBibTeX XMLCite \textit{G. Lü}, Monatsh. Math. 187, No. 1, 113--123 (2018; Zbl 1454.11180) Full Text: DOI
Lü, Guangshi; Sun, Haiwei The ternary Goldbach-Vinogradov theorem with almost equal primes from the Beatty sequence. (English) Zbl 1279.11099 Ramanujan J. 30, No. 2, 153-161 (2013). MSC: 11P32 11P05 11P55 11N36 PDFBibTeX XMLCite \textit{G. Lü} and \textit{H. Sun}, Ramanujan J. 30, No. 2, 153--161 (2013; Zbl 1279.11099) Full Text: DOI
Liu, Zhixin; Lü, Guangshi On unlike powers of primes and powers of 2. (English) Zbl 1274.11155 Acta Math. Hung. 132, No. 1-2, 125-139 (2011). Reviewer: Sidney W. Graham (Mount Pleasant) MSC: 11P32 11P05 11P55 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{G. Lü}, Acta Math. Hung. 132, No. 1--2, 125--139 (2011; Zbl 1274.11155) Full Text: DOI
Liu, Zhixin; Lü, Guangshi Density of two squares of primes and powers of 2. (English) Zbl 1237.11042 Int. J. Number Theory 7, No. 5, 1317-1329 (2011). Reviewer: Georges Grekos (St. Étienne) MSC: 11P32 11P05 11P55 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{G. Lü}, Int. J. Number Theory 7, No. 5, 1317--1329 (2011; Zbl 1237.11042) Full Text: DOI
Lü, Guang Shi; Sun, Haiwei Prime in quadratic progressions on average. (English) Zbl 1248.11066 Acta Math. Sin., Engl. Ser. 27, No. 6, 1187-1194 (2011). Reviewer: Stephan Baier (Norwich) MSC: 11N13 11L07 11P55 PDFBibTeX XMLCite \textit{G. S. Lü} and \textit{H. Sun}, Acta Math. Sin., Engl. Ser. 27, No. 6, 1187--1194 (2011; Zbl 1248.11066) Full Text: DOI
Liu, Zhixin; Lü, Guangshi Two results on powers of 2 in Waring-Goldbach problem. (English) Zbl 1273.11148 J. Number Theory 131, No. 4, 716-736 (2011). Reviewer: K.-M. Tsang (Hong Kong) MSC: 11P32 11P55 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{G. Lü}, J. Number Theory 131, No. 4, 716--736 (2011; Zbl 1273.11148) 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 PDFBibTeX XMLCite \textit{G. Lü} and \textit{H. Tang}, Lith. Math. J. 50, No. 1, 54--70 (2010; Zbl 1280.11060) Full Text: DOI
Liu, Zhixin; Lü, Guangshi Eight cubes of primes and powers of 2. (English) Zbl 1239.11109 Acta Arith. 145, No. 2, 171-192 (2010). Reviewer: Koichi Kawada (Morioka) MSC: 11P32 11P05 11P55 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{G. Lü}, Acta Arith. 145, No. 2, 171--192 (2010; Zbl 1239.11109) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{G. Lü} and \textit{W. Zhai}, Ramanujan J. 18, No. 1, 1--10 (2009; Zbl 1181.11069) Full Text: DOI
Lü, Guangshi; Sun, Haiwei Integers represented as the sum of one prime, two squares of primes and powers of 2. (English) Zbl 1258.11089 Proc. Am. Math. Soc. 137, No. 4, 1185-1191 (2009). Reviewer: Olaf Ninnemann (Berlin) MSC: 11P32 11P05 11N36 11P55 PDFBibTeX XMLCite \textit{G. Lü} and \textit{H. Sun}, Proc. Am. Math. Soc. 137, No. 4, 1185--1191 (2009; Zbl 1258.11089) Full Text: DOI
Lü, Guangshi Additive functions on arithmetic progressions with large moduli. (English) Zbl 1279.11092 J. Number Theory 129, No. 2, 477-487 (2009). MSC: 11N13 11P05 11N36 11P55 PDFBibTeX XMLCite \textit{G. Lü}, J. Number Theory 129, No. 2, 477--487 (2009; Zbl 1279.11092) Full Text: DOI
Xu, Yunfei; Lü, Guangshi On sums of a prime and three squares of primes in short intervals. (Chinese. English summary) Zbl 1174.11083 Pure Appl. Math. 24, No. 1, 190-199 (2008). MSC: 11P32 11P55 11L20 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{G. Lü}, Pure Appl. Math. 24, No. 1, 190--199 (2008; Zbl 1174.11083)
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 PDFBibTeX XMLCite \textit{G. Lü} and \textit{X. Meng}, Acta Math. Sin., Engl. Ser. 24, No. 8, 1291--1302 (2008; Zbl 1186.11062) Full Text: DOI
Lü, Guangshi On sums of a prime and four prime squares in short intervals. (English) Zbl 1204.11162 J. Number Theory 128, No. 4, 805-819 (2008). Reviewer: Giovanni Coppola (Avellino) MSC: 11P32 11P05 11N36 11P55 PDFBibTeX XMLCite \textit{G. Lü}, J. Number Theory 128, No. 4, 805--819 (2008; Zbl 1204.11162) Full Text: DOI
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 PDFBibTeX XMLCite \textit{G. Lü} and \textit{Y. Xu}, Acta Math. Hung. 116, No. 4, 309--326 (2007; Zbl 1164.11062) Full Text: DOI
Lü, Guangshi; Lao, Huixue On exponential sums over primes in short intervals. (English) Zbl 1181.11068 Monatsh. Math. 151, No. 2, 153-164 (2007). Reviewer: Roger Heath-Brown (Oxford) MSC: 11P32 11L20 11P05 11N36 11P55 PDFBibTeX XMLCite \textit{G. Lü} and \textit{H. Lao}, Monatsh. Math. 151, No. 2, 153--164 (2007; Zbl 1181.11068) Full Text: DOI
Lü, Guang-shi Note on a result of Hua. (English) Zbl 1482.11137 Adv. Math., Beijing 35, No. 3, 343-349 (2006). MSC: 11P55 11P05 11P32 PDFBibTeX XMLCite \textit{G.-s. Lü}, Adv. Math., Beijing 35, No. 3, 343--349 (2006; Zbl 1482.11137)
Lü, Guangshi Estimation of exponential sums over primes in short intervals. (Chinese. English summary) Zbl 1146.11042 Acta Math. Sin., Chin. Ser. 49, No. 3, 693-698 (2006). MSC: 11L20 11L07 11N36 11P32 11P55 PDFBibTeX XMLCite \textit{G. Lü}, Acta Math. Sin., Chin. Ser. 49, No. 3, 693--698 (2006; Zbl 1146.11042)
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{G. Lü}, Acta Math. Sin., Engl. Ser. 22, No. 3, 907--916 (2006; Zbl 1102.11054) Full Text: DOI
Lü, Guangshi Hua’s theorem with five amost equal prime variables. (English) Zbl 1101.11043 Chin. Ann. Math., Ser. B 26, No. 2, 291-304 (2005). Reviewer: Jianya Liu (Jinan) MSC: 11P32 11P05 11N36 11P55 PDFBibTeX XMLCite \textit{G. Lü}, Chin. Ann. Math., Ser. B 26, No. 2, 291--304 (2005; Zbl 1101.11043) Full Text: DOI
Liu, Jianya; Lü, Guangshi Four squares of primes and 165 powers of 2. (English) Zbl 1050.11084 Acta Arith. 114, No. 1, 55-70 (2004). Reviewer: George Greaves (Cardiff) MSC: 11P32 11P05 11P55 11N36 PDFBibTeX XMLCite \textit{J. Liu} and \textit{G. Lü}, Acta Arith. 114, No. 1, 55--70 (2004; Zbl 1050.11084) Full Text: DOI Link
Lü, Guangshi On sums of two squares of primes and a cube of a prime. (English) Zbl 1048.11076 Northeast. Math. J. 19, No. 2, 99-102 (2003). Reviewer: Tianze Wang (Henan) MSC: 11P32 11P05 11N36 11P55 PDFBibTeX XMLCite \textit{G. Lü}, Northeast. Math. J. 19, No. 2, 99--102 (2003; Zbl 1048.11076)