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硕士生导师

硕士生导师

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个人信息
  • 姓名：徐哲峰
  • 部门：基础数学系
  • 职称：教授
  • 荣誉：陕西省青年科技新星，amjs澳金沙门欢迎您“优秀青年学术骨干支持计划”，博士生导师，硕士生导师
  • 电子邮件：zfxu@nwu.edu.cn
  • 研究方向：数论及其应用


个人简介


      徐哲峰，教授，博士生导师。现任amjs澳金沙门欢迎您图书馆馆长，兼任全国大学生数学建模竞赛陕西赛区组委会秘书长、陕西省工业与应用数学会常务理事，《Scientia Magna》、《纯粹数学与应用数学》编委，美国数学评论、德国数学文摘评论员。主要从事数论及其应用方面的研究工作，在国内外期刊上发表学术论文60余篇，其中30余篇被SCI检索。先后主持国家自然科学基金项目5项、中国博士后科学基金特别资助和一等资助项目各1项、陕西省自然科学基金项目3项、教育部博士点基金项目1项、陕西省教改重点项目和一般项目各1项。数论与代数省级教学团队负责人。获陕西省科学技术奖二等奖2项（排名第一、第四）、三等奖2项（排名第二、第三）及陕西省教学成果奖一等奖1项（排名第二）。2012年入选amjs澳金沙门欢迎您首批优秀青年学术骨干支持计划，2014年入选陕西省青年科技新星。



项目、成果、论文、奖励



  • 1.主要课题


(1) 国家自然科学基金面上项目：子集上指数和、特征和及Gauss和的值分布性质研究(12471006), 2025.1-2028.12, 主持；

(2) 国家自然科学基金面上项目：算术函数的均值及相消性研究(11971381), 2020.1-2023.12，主持；

(3) 国家自然科学基金面上项目：L-函数、大值特征和及相关问题研究(11471258), 2015.1-2018.12, 主持；

(4) 陕西省自然科学基础研究计划项目：特征和及其应用(2014JM1001), 2014.1-2016.12, 主持；

(5) 国家自然科学基金天元项目：第六届全国数论会议(11226024), 2012.6-2013.4, 主持；

(6) 国家自然科学青年基金项目：特征和、指数和及其应用(11001218), 2011.1-2013.12, 主持；

(7) 教育部博士点专项科研项目：指数和及其在通信中的应用(20106101120001), 2011.1-2013.12, 主持；

(8) 陕西省自然科学基金项目：一些著名和式的值分布性质研究(SJ08A04), 2009.1-2011.12, 主持；

(9) 中国博士后科学基金特别资助项目：特征和、指数和及其应用(200902598), 2009.10-2011.12, 主持；

(10) 中国博士后科学基金一等资助项目：指数和及其在信号逼近中的应用(20080430202), 2008.9-2010.12, 主持；

(11) 2012年陕西省高等教育改革研究重点项目：基于数学建模教育的创新型人才培养模式研究，主持；

(12) 2014年陕西省高等教育改革研究一般项目：基于数学建模教育的实践教学体系研究，主持；

(13) 2012年amjs澳金沙门欢迎您教学改革研究项目：数学建模思想融入大学数学公共基础课教学模式的研究与实践，主持



  • 2.主要成果    


(1) Jiankang Wang and Zhefeng Xu*. Double and triple character sums and gaps between the elements of subgroups of finite fields. Int. J. Number Theory, 20(2024), No. 7, 1725–1737. (SCI)

(2) Xiao Wang, Jiankang Wang and Zhefeng Xu*. Mean value of Ramanujan sum and Cochrane sums. Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 67(115) (2024), No. 3, 355–373. (SCI)

(3) Zhefeng Xu, Jiankang Wang* and Lirong Zhu. On an exponential D. H. Lehmer problem. Electron. Res. Arch., 32(2024), No. 3, 1864–1872. (SCI)

(4) Xiaoyan Jing and Zhefeng Xu*. The 4-adic complexity of interleaved quaternary sequences of even period with optimal autocorrelation. Cryptogr. Commun., 16(2024), No. 3, 613–628. (SCI)

(5) Jiankang Wang and Zhefeng Xu*. A hybrid mean value involving hyper-Kloosterman sums and mth Cochrane sum. Lith. Math. J., 64(2024), No. 2, 190–198. (SCI)

(6) Yongli Su, Jiankang Wang, Bo Zhang and Zhefeng Xu*. Partitions into m-th Lehmer numbers and k-th power residues in ℤp. Math. Inequal. Appl., 27(2024), No. 3, 669–678. (SCI)

(7) Xiaoying Liu and Zhefeng Xu. A mean value of the error term of D.H.Lehmer problem on half interval. Journal of Northwest University(Natural Science Edition), 53(2023), No. 53, 459–465.

(8) Chaoran Zhang, Xiaoyan Jing and Zhefeng Xu*. The linear complexity and 4-adic complexity of quaternary sequences with period pq. J. Appl. Math. Comput., 69(2023), No. 2, 2003–2017. (SCI)

(9) Jinyun Qi and Zhefeng Xu*. The distribution of powers modulo q. Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 66(114) (2023), No. 4, 387–408. (SCI)  

(10) Bo Zhang, Jiankang Wang, Yongli Su and Zhefeng Xu*. Representations of element as sum of primitive root and Lehmer number in ℤp. J. Math. Inequal., 17(2023), No. 4, 1323–1333. (SCI)  

(11) Jinyun Qi, Victor Zhenyu Guo and Zhefeng Xu*. kth powers in Piatetski-Shapiro sequences. Int. J. Number Theory 18 (2022), No. 8, 1791–1806. (SCI)

(12) Zhefeng Xu and Jiankang Wang. Generalized Dedekind sums and its upper bound estimate. Journal of Shaanxi Normal University(Natural Science Edition), 49(2021), No. 5, 13–16.

(13) Xiaoyan Jing, Zhefeng Xu, Minghui Yang* and Keqin Feng. On the p-adic complexity of the Ding-Helleseth-Martinsen binary sequences. Chinese Journal of Electronics, 30(2021), No. 1, 64-71. (SCI)

(14) Jinyun Qi and Zhefeng Xu*. The maximal difference of different powers of an element modulo n. J. Math. 2021, Art. ID 8002211, 5 pp. (SCI)

(15) Di Han, Zhefeng Xu*, Yuan Yi and Tianping Zhang. A note on high-dimensional D. H. Lehmer problem. Taiwanese J. Math. 25 (2021), No. 6, 1137–1157. (SCI)  

(16) Lirong Zhu and Zhefeng Xu. Distribution of an exponential function on Z_p. Pure and Applied Mathematics, 36(2020), No. 2, 161–167.

(17) Rui Zhao and Zhefeng Xu. The exceptional sets of some congruence problems. Pure and Applied Mathematics, 36(2020), No. 1, 26–30.

(18) Bing Wang, Yan Zhang and Zhefeng Xu. Some weighted versions of sum formula for multiple zeta values. J. Inn. Mong. Norm. Univ. Nat. Sci. Ed., 49(2020), No. 2, 100–105.

(19) Lei Liu and Zhefeng Xu*. Mean value of the general Dedekind sums over interval [1,q/p]. Symmetry-Basel, 12(2020), No. 12, Art. ID 2079, pp. (SCI)

(20) Lei Liu and Zhefeng Xu*. Mean value of the Hardy sums over short intervals. AIMS Math. 5 (2020), No. 6, 5551–5563. (SCI)

(21) Lei Liu, Zhefeng Xu* and Ni Wang. Mean values of generalized Dedekind sums over short intervals. Acta Arith. 193 (2020), No. 1, 95–108. (SCI)  

(22) Ye Lü and Zhefeng Xu. The mean value of the remainder of the integer power mod p. J. Northwest Univ. Nat. Sci., 46(2016), No. 5, 625–628.

(23) Zhefeng Xu and Wenpeng Zhang*. An interesting identity and asymptotic formula related to the  Dedekind sums. Science China Mathematics, 2014, 57(3), 659-663. (SCI)

(24) Zhefeng Xu and Tianping Zhang. High-dimensional D. H. Lehmer problem over short intervals. Acta Mathematica Sinica, English Series, 2014, 30(2), 213-228. (SCI)

(25) Zhefeng Xu. Some cancellations of the error term of the D. H. Lehmer problem. J. Shaanxi Normal Univ. Nat. Sci. Ed., 41(2013), No. 6, 12–14, 20.

(26) Xiaoxue Li and Zhefeng Xu. The fourth power mean of the generalized two-term exponential sums and its upper and lower bound estimates. J. Inequal. Appl. 2013, 2013:504, 8 pp. (SCI)

(27) Zhefeng Xu. Distribution of the difference of an integer and its m-th power mod n over incomplete intervals. Journal of Number Theory, 2013, 133(12), 4200-4223. (SCI)

(28) Zhefeng Xu and Huaning Liu. On the mean value of certain character sums. Abstract and Applied Analysis, 2013, 2013: 326597, 1-19. (SCI)

(29) Zhefeng Xu. On the difference between an integer and its m-th power mod n. Science China Mathematics, 2013, 56(8), 1597-1606. (SCI)

(30) Zhefeng and Tingting Wang. The infinite sum of  the cubes of  reciprocal Pell numbers. Advances in Difference Equations, 2013, 2013(184), 1-10. (SCI)

(31) 徐哲峰, 易媛. 不完整区间上整数及其逆的差. 中国科学：数学, 41(2011), 669-679.

(32) Zhefeng Xu. Mean value of the character sums over interval $\left[1,\frac{q}{8}\right)$. Taiwanese Journal of Mathematics, 13(2009), 169-187. (SCI)

(33) Zhefeng Xu. D.H.Lehmer problems over half intervals. Journal of Korean Mathematical Society, 46(2009), 493-511. (SCI)

(34) Zhefeng Xu. On the hyper-Kloosterman sum and its fourth power mean. Studia Scientiarum Mathematicarum Hungarica, 46(2009), 479-492. (SCI)

(35) Tianping Zhang, Zhefeng Xu and Zhanhu Li. On character sums over a short intervals. Journal of Number Theory, 129(2009), 948-963. (SCI)

(36) Zhefeng Xu and Wenpeng Zhang. On a hybrid mean value of the character sums over  short intervals. Functiones et Approximatio Commentarii Mathematici, 41(2009), 113-128.

(37) Zhefeng Xu. A mean value of Cochrane sums. Acta Mathematica Sinica, English Series, 25(2009), 223-234. (SCI)

(38) Zhefeng Xu. A note on the $2k$-th power mean of character sums over quarter intervals. Proceedings of the American Mathematical Society, 136(2008), 4175-4184. (SCI)

(39) Zhefeng Xu and Wenpeng Zhang. Fourth power mean of character sums. Acta Arithmetica, 135(2008), 31-49. (SCI)

(40) Zhefeng Xu and Wenpeng Zhang. A problem of D.H.Lehmer and its mean value. Mathematische Nachrichten, 281(2008), 596-606. (SCI)

(41) Zhefeng Xu and Wenpeng Zhang. Some identities involving the Dirichlet L-function. Acta Arithmetica, 130(2007), 157-166. (SCI)

(42) Zhefeng Xu and Wenpeng Zhang. The mean value of Hardy sums in short intervals. The Royal Society of Edingurgh Proceedings A (Mathematics), 137(2007), No. 4, 885-894. (SCI)

(43) Wenpeng Zhang and Zhefeng Xu. On a conjecture of the Euler numbers. Journal of Number Theory,  127(2007), 283-291. (SCI)

(44) Zhefeng Xu. On the mean value of the complete trigonometric sums with Dirichlet characters. Acta Matehmetia Sinica, English Series, 23(2007), 1341-1344. (SCI)

(45) Zhefeng Xu, Tianping Zhang and Wenpeng Zhang. On the mean value of the two-term exponential sums with Dirichlet characters. Journal of Number Theory，123(2007), 352-362. (SCI)

(46) Zhefeng Xu. On Smarandache multiplicative sequence and its generation. Chinese Quart. J. Math., 21(2006), No. 1, 1–3.

(47) Zhefeng Xu. Some new arithmetical functions and their mean value formulas. Math. Practice Theory, 36(2006), No. 8, 300–303.

(48) Tianping Zhang and Zhefeng Xu. A note on the character sum of polynomials. Journal of Northwest University(Natural Science Edition), 36(2006), No. 2, 176–178.

(49) Zhefeng Xu. Value distribution of the Smarandache functions. Acta Math. Sinica (Chinese Ser.), 49(2006), No. 5, 1009–1012.

(50) Zhefeng Xu. On the mean value of the Smarandache power function. Acta Mathematica Sinica, Chinese Series, 49(2006), No. 1, 77-80.

(51) Wenpeng Zhang and Zhefeng Xu. On the Dirichlet characters of polynomial in several variables. Acta Arithmetica, 121(2006), 117-124. (SCI)

(52) Zhefeng Xu and Wenpeng Zhang. On the 2k-th power mean of the character sums over short intervals. Acta Arithmetica, 121(2006), 149-160. (SCI) 

        (53)徐哲峰, 张文鹏. Dirichlet特征及其应用, 科学出版社, 2008.（专著）




3.获奖情况    


  • (1) 陕西省科学技术奖二等奖：算术函数性质研究, 2012, 第一完成人；
    (2) 陕西省科学技术奖三等奖：基于数论方法的伪随机二进制数列研究, 2011, 第二完成人；
    (3) 陕西省科学技术奖二等奖：特征和、Dedekind和以及相关问题研究, 2012, 第四完成人.

  • (4) 陕西省科学技术奖三等奖：几类和式的均值及其应用研究, 2018, 第三完成人；

  • (5) 陕西省高等教育教学成果奖一等奖：地方综合性大学数学拔尖创新人才培养体系的探索与实践，2013，第二完成人；

  • (6) amjs澳金沙门欢迎您优秀教学成果奖一等奖：数学拔尖创新人才培养体系建设，2011，第二完成人.