Liu, Xiaoge; Zhang, Tianping Identities of general Kloosterman sums. (English) Zbl 1528.11069 Int. J. Number Theory 19, No. 6, 1415-1428 (2023). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L03 11L05 PDFBibTeX XMLCite \textit{X. Liu} and \textit{T. Zhang}, Int. J. Number Theory 19, No. 6, 1415--1428 (2023; Zbl 1528.11069) Full Text: DOI
Guo, Wenjia; Ma, Yuankui; Zhang, Tianping New identities involving Hardy sums \(S_3(h, k)\) and general Kloosterman sums. (English) Zbl 1484.11114 AIMS Math. 6, No. 2, 1596-1606 (2021). MSC: 11F20 11L05 PDFBibTeX XMLCite \textit{W. Guo} et al., AIMS Math. 6, No. 2, 1596--1606 (2021; Zbl 1484.11114) Full Text: DOI
Han, Di; Xu, Zhefeng; Yi, Yuan; Zhang, Tianping A note on high-dimensional D. H. Lehmer problem. (English) Zbl 1483.11169 Taiwanese J. Math. 25, No. 6, 1137-1157 (2021). MSC: 11L05 11L07 PDFBibTeX XMLCite \textit{D. Han} et al., Taiwanese J. Math. 25, No. 6, 1137--1157 (2021; Zbl 1483.11169) Full Text: DOI
Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping Cancellations between Kloosterman sums modulo a prime power with prime arguments. (English) Zbl 1441.11192 Mathematika 65, No. 3, 475-487 (2019). MSC: 11L05 11T23 PDFBibTeX XMLCite \textit{K. Liu} et al., Mathematika 65, No. 3, 475--487 (2019; Zbl 1441.11192) Full Text: DOI arXiv
Liu, Kui; Shparlinski, Igor E.; Zhang, Tianping Divisor problem in arithmetic progressions modulo a prime power. (English) Zbl 1436.11103 Adv. Math. 325, 459-481 (2018). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11N25 11N37 11T23 PDFBibTeX XMLCite \textit{K. Liu} et al., Adv. Math. 325, 459--481 (2018; Zbl 1436.11103) Full Text: DOI arXiv
Qin, Zhenzhen; Zhang, Tianping Kloosterman sums over smooth numbers. (English) Zbl 1423.11142 J. Number Theory 182, 221-235 (2018). MSC: 11L05 11L20 11N25 PDFBibTeX XMLCite \textit{Z. Qin} and \textit{T. Zhang}, J. Number Theory 182, 221--235 (2018; Zbl 1423.11142) Full Text: DOI
Ma, Yuankui; Peng, Wen; Zhang, Tianping Upper bound estimate of incomplete Cochrane sum. (English) Zbl 1429.11082 Open Math. 15, 852-858 (2017). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11F20 11L05 11L07 PDFBibTeX XMLCite \textit{Y. Ma} et al., Open Math. 15, 852--858 (2017; Zbl 1429.11082) Full Text: DOI
Ren, Ganglian; He, Dingding; Zhang, Tianping On general partial Gaussian sums. (English) Zbl 1415.11109 J. Inequal. Appl. 2016, Paper No. 295, 8 p. (2016). MSC: 11L05 11L40 PDFBibTeX XMLCite \textit{G. Ren} et al., J. Inequal. Appl. 2016, Paper No. 295, 8 p. (2016; Zbl 1415.11109) Full Text: DOI
Shparlinski, Igor E.; Zhang, Tianping Cancellations amongst Kloosterman sums. (English) Zbl 1368.11092 Acta Arith. 176, No. 3, 201-210 (2016). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11L07 PDFBibTeX XMLCite \textit{I. E. Shparlinski} and \textit{T. Zhang}, Acta Arith. 176, No. 3, 201--210 (2016; Zbl 1368.11092) Full Text: DOI arXiv
Ma, Yuankui; Chen, Hui; Qin, Zhenzhen; Zhang, Tianping Character sums over generalized Lehmer numbers. (English) Zbl 1348.11060 J. Inequal. Appl. 2016, Paper No. 270, 9 p. (2016). Reviewer: Huaning Liu (Shaanxi) MSC: 11L05 11L40 11N37 PDFBibTeX XMLCite \textit{Y. Ma} et al., J. Inequal. Appl. 2016, Paper No. 270, 9 p. (2016; Zbl 1348.11060) Full Text: DOI
Peng, Wen; Zhang, Tianping Some identities involving certain Hardy sum and Kloosterman sum. (English) Zbl 1401.11084 J. Number Theory 165, 355-362 (2016). MSC: 11F20 11L05 PDFBibTeX XMLCite \textit{W. Peng} and \textit{T. Zhang}, J. Number Theory 165, 355--362 (2016; Zbl 1401.11084) Full Text: DOI
Chen, Hui; Zhang, Tianping On the fourth power mean of the analogous general Kloosterman sum. (English) Zbl 1331.11063 J. Number Theory 160, 326-333 (2016). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11L07 PDFBibTeX XMLCite \textit{H. Chen} and \textit{T. Zhang}, J. Number Theory 160, 326--333 (2016; Zbl 1331.11063) Full Text: DOI
Peng, Wen; Ma, Yuankui; Zhang, Tianping Some identities involving certain Hardy sums and Kloosterman sums. (Chinese. English summary) Zbl 1349.11123 Basic Sci. J. Text. Univ. 28, No. 2, 154-158 (2015). MSC: 11L05 11B65 PDFBibTeX XMLCite \textit{W. Peng} et al., Basic Sci. J. Text. Univ. 28, No. 2, 154--158 (2015; Zbl 1349.11123) Full Text: DOI
Xu, Zhe Feng; Zhang, Tian Ping High-dimensional D. H. Lehmer problem over short intervals. (English) Zbl 1294.11138 Acta Math. Sin., Engl. Ser. 30, No. 2, 213-228 (2014). Reviewer: Zaizhao Meng (Beijing) MSC: 11L03 11L05 PDFBibTeX XMLCite \textit{Z. F. Xu} and \textit{T. P. Zhang}, Acta Math. Sin., Engl. Ser. 30, No. 2, 213--228 (2014; Zbl 1294.11138) Full Text: DOI
Zhang, Tianping A note on the hyper Cochrane sum. (English) Zbl 1297.11024 Indian J. Pure Appl. Math. 44, No. 3, 297-310 (2013). Reviewer: Huaning Liu (Shaanxi) MSC: 11F20 11L05 PDFBibTeX XMLCite \textit{T. Zhang}, Indian J. Pure Appl. Math. 44, No. 3, 297--310 (2013; Zbl 1297.11024) Full Text: DOI
Zhang, Tianping On the general quadratic Gauss sums weighted by character sums over a short interval. (English) Zbl 1368.11093 Bull. Korean Math. Soc. 50, No. 3, 873-883 (2013). MSC: 11L05 11L40 PDFBibTeX XMLCite \textit{T. Zhang}, Bull. Korean Math. Soc. 50, No. 3, 873--883 (2013; Zbl 1368.11093) Full Text: DOI Link
Zhang, Tianping Hybrid mean value on the general quadratic Kloosterman sums. (Chinese. English summary) Zbl 1240.11094 J. Northwest Univ., Nat. Sci. Ed. 40, No. 6, 949-953 (2010). MSC: 11L05 PDFBibTeX XMLCite \textit{T. Zhang}, J. Northwest Univ., Nat. Sci. Ed. 40, No. 6, 949--953 (2010; Zbl 1240.11094)
Zhang, Tianping Weighted mean values on the general quadratic Kloosterman sums. (Chinese. English summary) Zbl 1240.11093 J. Shaanxi Norm. Univ., Nat. Sci. Ed. 38, No. 5, 10-13 (2010). MSC: 11L05 PDFBibTeX XMLCite \textit{T. Zhang}, J. Shaanxi Norm. Univ., Nat. Sci. Ed. 38, No. 5, 10--13 (2010; Zbl 1240.11093)
Zhang, Tianping On mixed two-term exponential sums. (English) Zbl 1223.11100 J. Korean Math. Soc. 47, No. 6, 1107-1122 (2010). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 PDFBibTeX XMLCite \textit{T. Zhang}, J. Korean Math. Soc. 47, No. 6, 1107--1122 (2010; Zbl 1223.11100) Full Text: DOI Link
Zhang, Tianping Hybrid mean value of the hyper Cochrane sums. (English) Zbl 1212.11083 Commun. Math. Res. 25, No. 4, 329-339 (2009). MSC: 11N37 11F20 11L05 PDFBibTeX XMLCite \textit{T. Zhang}, Commun. Math. Res. 25, No. 4, 329--339 (2009; Zbl 1212.11083)
Zhang, Tianping; Xue, Xifeng On the \(r\)-th hyper-Kloosterman sums and a problem of D. H. Lehmer. (English) Zbl 1179.11023 J. Korean Math. Soc. 46, No. 4, 733-746 (2009). Reviewer: Zaizhao Meng (Beijing) MSC: 11L05 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{X. Xue}, J. Korean Math. Soc. 46, No. 4, 733--746 (2009; Zbl 1179.11023) Full Text: DOI Link
Zhang, Tianping; Xu, Zhefeng; Li, Zhanhu On character sums over a short interval. (English) Zbl 1246.11140 J. Number Theory 129, No. 4, 948-963 (2009). MSC: 11L26 11L40 PDFBibTeX XMLCite \textit{T. Zhang} et al., J. Number Theory 129, No. 4, 948--963 (2009; Zbl 1246.11140) Full Text: DOI
Zhang, Tianping; Xu, Zhefeng A note on the character sum of polynomials. (Chinese. English summary) Zbl 1129.11033 J. Northwest Univ., Nat. Sci. Ed. 36, No. 2, 176-178 (2006). Reviewer: Le Maohua (Zhanjiang) MSC: 11L40 11T24 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{Z. Xu}, J. Northwest Univ., Nat. Sci. Ed. 36, No. 2, 176--178 (2006; Zbl 1129.11033)
Zhang, Tianping; Zhang, Wenpeng On the hyper Cochrane sums and its hybrid mean value formula. (Chinese. English summary) Zbl 1178.11039 Chin. Ann. Math., Ser. A 26, No. 4, 469-476 (2005). Reviewer: Hongwen Lu MSC: 11F20 11L05 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{W. Zhang}, Chin. Ann. Math., Ser. A 26, No. 4, 469--476 (2005; Zbl 1178.11039)