Bag, Nilanjan; Rojas-León, Antonio; Wenpeng, Zhang On some conjectures on generalized quadratic Gauss sums and related problems. (English) Zbl 1514.11049 Finite Fields Appl. 86, Article ID 102131, 14 p. (2023). Reviewer: Alexey Ustinov (Khabarovsk) MSC: 11L05 11L07 PDFBibTeX XMLCite \textit{N. Bag} et al., Finite Fields Appl. 86, Article ID 102131, 14 p. (2023; Zbl 1514.11049) Full Text: DOI arXiv
Bag, Nilanjan; Rojas-León, Antonio; Wenpeng, Zhang An explicit evaluation of \(10^{\text{th}} \)-power moment of quadratic Gauss sums and some applications. (English) Zbl 07556754 Funct. Approximatio, Comment. Math. 66, No. 2, 253-274 (2022). MSC: 11L05 11L07 PDFBibTeX XMLCite \textit{N. Bag} et al., Funct. Approximatio, Comment. Math. 66, No. 2, 253--274 (2022; Zbl 07556754) Full Text: DOI arXiv
Zhang, Wenpeng; Lv, Xingxing A note on two-term exponential sum and the reciprocal of the quartic Gauss sums. (English) Zbl 1494.11069 Adv. Difference Equ. 2021, Paper No. 203, 13 p. (2021). MSC: 11L05 11N37 11L03 11L07 11B73 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{X. Lv}, Adv. Difference Equ. 2021, Paper No. 203, 13 p. (2021; Zbl 1494.11069) Full Text: DOI
Lv, Xingxing; Zhang, Wenpeng The generalized quadratic Gauss sums and its sixth power mean. (English) Zbl 1525.11086 AIMS Math. 6, No. 10, 11275-11285 (2021). MSC: 11L05 11L40 11N37 11L07 11M06 PDFBibTeX XMLCite \textit{X. Lv} and \textit{W. Zhang}, AIMS Math. 6, No. 10, 11275--11285 (2021; Zbl 1525.11086) Full Text: DOI
Zhang, Wenpeng; Zhang, Jiafan The hybrid power mean of some special character sums of polynomials and two-term exponential sums modulo \(p\). (English) Zbl 1525.11085 AIMS Math. 6, No. 10, 10989-11004 (2021). MSC: 11L03 11L40 11L05 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{J. Zhang}, AIMS Math. 6, No. 10, 10989--11004 (2021; Zbl 1525.11085) Full Text: DOI
Zhao, Yan; Zhang, Wenpeng; Lv, Xingxing A certain new Gauss sum and its fourth power mean. (English) Zbl 1484.11171 AIMS Math. 5, No. 5, 5004-5011 (2020). MSC: 11L03 11L07 PDFBibTeX XMLCite \textit{Y. Zhao} et al., AIMS Math. 5, No. 5, 5004--5011 (2020; Zbl 1484.11171) Full Text: DOI
Zhang, Wenpeng; Lv, Xingxing The hybrid power mean involving character sums of polynomials and two-term exponential sums. (English) Zbl 1499.11257 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 63(111), No. 4, 395-406 (2020). MSC: 11L03 11L40 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{X. Lv}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 63(111), No. 4, 395--406 (2020; Zbl 1499.11257)
Lv, Xing Xing; Zhang, Wen Peng On the character sum of polynomials and the two-term exponential sums. (English) Zbl 1472.11220 Acta Math. Sin., Engl. Ser. 36, No. 2, 196-206 (2020). MSC: 11L03 11L40 PDFBibTeX XMLCite \textit{X. X. Lv} and \textit{W. P. Zhang}, Acta Math. Sin., Engl. Ser. 36, No. 2, 196--206 (2020; Zbl 1472.11220) Full Text: DOI
Ma, Yuankui; Zhang, Wenpeng On the two-term exponential sums and character sums of polynomials. (English) Zbl 1513.11145 Open Math. 17, 1239-1248 (2019). MSC: 11L03 11L40 PDFBibTeX XMLCite \textit{Y. Ma} and \textit{W. Zhang}, Open Math. 17, 1239--1248 (2019; Zbl 1513.11145) Full Text: DOI
Chen, Zhuoyu; Zhang, Wenpeng On the hybrid power mean of two kind different trigonometric sums. (English) Zbl 1454.11142 Open Math. 17, 519-526 (2019). MSC: 11L05 11L07 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{W. Zhang}, Open Math. 17, 519--526 (2019; Zbl 1454.11142) Full Text: DOI
Zhang, Wenpeng; Chen, Zhuoyu One kind of character sum modulo a prime \(p\) and its recurrence formula. (English) Zbl 1459.11165 Adv. Difference Equ. 2019, Paper No. 133, 12 p. (2019). MSC: 11L05 11L40 11L07 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{Z. Chen}, Adv. Difference Equ. 2019, Paper No. 133, 12 p. (2019; Zbl 1459.11165) Full Text: DOI
Zhang, Wen Peng; Lin, Xin On the fourth power mean of the generalized quadratic Gauss sums. (English) Zbl 1414.11099 Acta Math. Sin., Engl. Ser. 34, No. 6, 1037-1049 (2018). MSC: 11L05 11L07 PDFBibTeX XMLCite \textit{W. P. Zhang} and \textit{X. Lin}, Acta Math. Sin., Engl. Ser. 34, No. 6, 1037--1049 (2018; Zbl 1414.11099) Full Text: DOI
Chen, Li; Zhang, Wenpeng The hybrid power mean of the generalized Gauss sums. (English) Zbl 1422.11169 Adv. Difference Equ. 2017, Paper No. 228, 9 p. (2017). MSC: 11L05 11L07 11L03 11D45 11D25 PDFBibTeX XMLCite \textit{L. Chen} and \textit{W. Zhang}, Adv. Difference Equ. 2017, Paper No. 228, 9 p. (2017; Zbl 1422.11169) Full Text: DOI
Zhang, Wenpeng; Hu, Jiayuan The hybrid power mean of three-term character sums and two-term exponential sums. (English) Zbl 1399.11143 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 60(108), No. 2, 173-180 (2017). Reviewer: Wen-Fong Ke (Tainan) MSC: 11L03 11L07 11T23 11T24 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{J. Hu}, Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 60(108), No. 2, 173--180 (2017; Zbl 1399.11143)
Zhang, Han; Zhang, Wenpeng The fourth power mean of two-term exponential sums and its application. (English) Zbl 1389.11118 Math. Rep., Buchar. 19(69), No. 1, 75-83 (2017). Reviewer: Mihaly Szalay (Budapest) MSC: 11L05 11D25 11L03 11L07 11T23 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{W. Zhang}, Math. Rep., Buchar. 19(69), No. 1, 75--83 (2017; Zbl 1389.11118)
Chen, Zhuoyu; Zhang, Wenpeng On the fourth-order linear recurrence formula related to classical Gauss sums. (English) Zbl 1427.11075 Open Math. 15, 1251-1255 (2017). MSC: 11L05 11L07 11T24 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{W. Zhang}, Open Math. 15, 1251--1255 (2017; Zbl 1427.11075) Full Text: DOI
Yu, Yahui; Zhang, Wenpeng On the sixth power mean value of the generalized three-term exponential sums. (English) Zbl 1422.11174 Abstr. Appl. Anal. 2014, Article ID 474726, 4 p. (2014). MSC: 11L07 PDFBibTeX XMLCite \textit{Y. Yu} and \textit{W. Zhang}, Abstr. Appl. Anal. 2014, Article ID 474726, 4 p. (2014; Zbl 1422.11174) Full Text: DOI
Li, Jianghua; Zhang, Wenpeng A hybrid mean value involving the Dedekind sums and exponential sums. (English) Zbl 1313.11105 Adv. Math., Beijing 43, No. 4, 527-533 (2014). MSC: 11L07 11F20 PDFBibTeX XMLCite \textit{J. Li} and \textit{W. Zhang}, Adv. Math., Beijing 43, No. 4, 527--533 (2014; Zbl 1313.11105)
Wang, Tingting; Zhang, Wenpeng On the fourth and sixth power mean of mixed exponential sums. (Chinese. English summary) Zbl 1479.11135 Sci. Sin., Math. 41, No. 3, 265-270 (2011). MSC: 11L03 11L07 PDFBibTeX XMLCite \textit{T. Wang} and \textit{W. Zhang}, Sci. Sin., Math. 41, No. 3, 265--270 (2011; Zbl 1479.11135) Full Text: DOI
Wang, Tingting; Zhang, Wenpeng On hybrid mean value of Dedekind sums and two-term exponential sums. (English) Zbl 1283.11114 Front. Math. China 6, No. 3, 557-563 (2011). MSC: 11L40 11F20 PDFBibTeX XMLCite \textit{T. Wang} and \textit{W. Zhang}, Front. Math. China 6, No. 3, 557--563 (2011; Zbl 1283.11114) Full Text: DOI
Liu, Huaning; Zhang, Wenpeng Mean value on the difference between a quadratic residue and its inverse modulo \(p\). (English) Zbl 1234.11105 Acta Math. Sin., Engl. Ser. 23, No. 5, 915-924 (2007). MSC: 11L07 11A07 11B68 11M06 PDFBibTeX XMLCite \textit{H. Liu} and \textit{W. Zhang}, Acta Math. Sin., Engl. Ser. 23, No. 5, 915--924 (2007; Zbl 1234.11105) Full Text: DOI
Xu, Zhefeng; Zhang, Tianping; Zhang, Wenpeng On the mean value of the two-term exponential sums with Dirichlet characters. (English) Zbl 1197.11103 J. Number Theory 123, No. 2, 352-362 (2007). MSC: 11L40 PDFBibTeX XMLCite \textit{Z. Xu} et al., J. Number Theory 123, No. 2, 352--362 (2007; Zbl 1197.11103) Full Text: DOI
Yi, Yuan; Zhang, Wenpeng An application of exponential sum estimates. (English) Zbl 1135.11043 Acta Math. Sin., Engl. Ser. 20, No. 5, 851-858 (2004). Reviewer: Angel V. Kumchev (Towson) MSC: 11L07 11L05 PDFBibTeX XMLCite \textit{Y. Yi} and \textit{W. Zhang}, Acta Math. Sin., Engl. Ser. 20, No. 5, 851--858 (2004; Zbl 1135.11043) Full Text: DOI
Kanemitsu, Shigeru; Tanigawa, Yoshio; Yi, Yuang; Zhang, Wenpeng On general Kloosterman sums. (English) Zbl 1108.11059 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 22, 151-160 (2003). MSC: 11L05 11L07 PDFBibTeX XMLCite \textit{S. Kanemitsu} et al., Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 22, 151--160 (2003; Zbl 1108.11059)
Yi, Yuan; Zhang, Wenpeng On a generalization of a problem of D. H. Lehmer. (English) Zbl 1016.11040 J. Eng. Math., Xi’an 20, No. 1, 60-64 (2003). MSC: 11N37 11L07 PDFBibTeX XMLCite \textit{Y. Yi} and \textit{W. Zhang}, J. Eng. Math., Xi'an 20, No. 1, 60--64 (2003; Zbl 1016.11040)
Zhang, Wenpeng Some applications of Bombieri’s estimate for exponential sums. (English) Zbl 1126.11339 Acta Arith. 107, No. 3, 245-250 (2003). MSC: 11N69 11L07 PDFBibTeX XMLCite \textit{W. Zhang}, Acta Arith. 107, No. 3, 245--250 (2003; Zbl 1126.11339) Full Text: DOI
Zhang, Wenpeng On a Cochrane sum and its hybrid mean value formula. II. (English) Zbl 1106.11304 J. Math. Anal. Appl. 276, No. 1, 446-457 (2002). Reviewer: Marvin I. Knopp (Philadelphia)(MR1944361) MSC: 11F20 11L05 11L07 PDFBibTeX XMLCite \textit{W. Zhang}, J. Math. Anal. Appl. 276, No. 1, 446--457 (2002; Zbl 1106.11304) Full Text: DOI
Zhang, Wenpeng On a Cochrane sum and its hybrid mean value formula. (English) Zbl 1106.11303 J. Math. Anal. Appl. 267, No. 1, 89-96 (2002). Reviewer: Marvin I. Knopp (Philadelphia) (MR1886818) MSC: 11F20 11L05 11L07 PDFBibTeX XMLCite \textit{W. Zhang}, J. Math. Anal. Appl. 267, No. 1, 89--96 (2002; Zbl 1106.11303) Full Text: DOI
Zhang, Wenpeng On the difference between an integer and its inverse modulo \(n\). (English) Zbl 0826.11002 J. Number Theory 52, No. 1, 1-6 (1995). Reviewer: J.Hinz (Marburg) MSC: 11A07 11L07 PDFBibTeX XMLCite \textit{W. Zhang}, J. Number Theory 52, No. 1, 1--6 (1995; Zbl 0826.11002) Full Text: DOI
Zhang, Wenpeng On the difference between a D. H. Lehmer number and its inverse modulo \(q\). (English) Zbl 0826.11003 Acta Arith. 68, No. 3, 255-263 (1994). Reviewer: J.Hinz (Marburg) MSC: 11A07 11L07 PDFBibTeX XMLCite \textit{W. Zhang}, Acta Arith. 68, No. 3, 255--263 (1994; Zbl 0826.11003) Full Text: DOI EuDML
Zhang, Wenpeng On the mean square value formula of Dirichlet L-functions. (Chinese) Zbl 0699.10058 Chin. Ann. Math., Ser. A 11, No. 1, 121-127 (1990). Reviewer: P.Shiu MSC: 11M06 11L40 PDFBibTeX XMLCite \textit{W. Zhang}, Chin. Ann. Math., Ser. A 11, No. 1, 121--127 (1990; Zbl 0699.10058)