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吴小胜

  • 职称 ：教授/博导
  • 邮箱 ：xswu@hfut.edu.cn
  • 所属系 ：应用数学系
  • 主讲课程 ：实变函数、初等数论、解析数论
  • 研究领域 ：主要研究领域为解析数论，重点关注Riemann zeta函数、Dirichlet L函数、素数分布与筛法理论。在L-函数的均值估计、零点分布以及素数分布等方向上取得了一系列系统性的研究成果。已在 Math. Ann.、J. Lond. Math. Soc.、Math. Z. 等国际权威期刊上发表学术论文十余篇。先后主持国家自然科学基金项目3项，获安徽省自然科学基金青年项目A类（原杰青项目）资助，于2021年获安徽省青年数学奖。
科研项目
  • 科研项目： [1] 国家自然科学基金面上项目，主持； [2] 国家自然科学基金面上项目，主持； [3] 国家自然科学基金青年基金，主持； [4] 安徽省自然科学基金青年项目A类（原杰青项目），主持； [5] 合肥工业大学学术人才自主创新项目，主持； [6] 合肥工业大学“十四五”科技创新培育重点专项，主持； [7] 合工大学术新人提升B计划，主持；
研究成果
  • 发表论文： [1]. X. Qin and X. Wu, Non-vanishing of Dirichlet L-functions at the central point, to appear in Algebra Number Theory, 26 pages. [2]. G. Sayan, W. Huang, and X. Wu, On the set of Kronecker numbers, Bull. Aust. Math. Soc., 110 (2024), 262-270. [3]. X. Wu, The fourth moment of Dirichlet L-functions at the central value, Math. Ann., 387 (2023), 1199–1248. [4]. B. Kerr, I. E. Shparlinski, X. Wu, and P. Xi, Bounds on bilinear forms with Kloosterman sums, J. Lond. Math. Soc. (2), 208 (2023), no. 2, 578-621. [5]. X. Wu, The fourth moment of Dirichlet L-functions along the critical line, Forum Math., 35 (2023), no. 5, 1347–1371. [6]. P. Gao, X. He, and X. Wu, Bounds for moments of modular L-functions to a fixed modulus, Acta Arith., 205 (2022), no. 2, 161-190. [7]. X. Qin and X. Wu, Proportion of distinct zeros of a Dirichlet L-series, Acta Math. Sci. Ser. B (Engl. Ed.), 42 (2022), no. 6, 2367-2376. [8]. X. Wu and P. Yang, The most likely common difference of arithmetic progressions among primes, Commun. Math. Stat., (2021) 9:315–329. [9]. X. Wu and L. Zhao, On simple zeros of the Dedekind zeta-function of a quadratic number field. Mathematika, 65 (2019), no. 4, 851–861. [10]. X. Wu, The twisted mean square and critical zeros of Dirichlet L-functions, Math. Z., 293 (2019), no. 1-2, 825–865. [11]. L. Wu and X. Wu, The k-tuple prime difference champion, J. Number Theory, 196 (2019), 223-243. [12]. W. Huang and X. Wu, On the set of the difference of primes, Proc. Amer. Math. Soc., 145 (2017), no 9, 3787-3793. [13]. X. Wu, Distinct zeros and simple zeros for the family of Dirichlet L-function, Quart. J. Math., 67 (2016), no 4, 757-779. [14]. X. Wu, Distinct zeros of the Riemann zeta-function, Quart. J. Math., 66 (2015), no 2, 759-771. [15]. X. Wu, A note on the distribution of gaps between zeros of the Riemann zeta-function, Proc. Amer. Math. Soc, 142 (2014), no 3, 851-857. [16]. S. Feng and X. Wu, On large spacing of the zeros of the Riemann zeta-function, J. Number Theory, 133 (2013), no. 8, 2538-2566. [17]. S. Feng and X. Wu, The k-tuple jumping champions among consecutive primes, Acta Arith., 156 (2012), no. 4, 325-339. [18]. S. Feng and X. Wu, On gaps between zeros of the Riemann zeta-function, J. Number Theory, 132 (2012), no. 7, 1385-1397. 预印本论文： [1]. D. Milićević, X. Qin, and X. Wu, Bilinear forms with Kloosterman sums and moments of twisted L-functions, arXiv: 2511.07550, 38 pages. [2]. P. Gao, X. Wu, and L. Zhao, The mollified fourth moment of Dirichlet L-functions, arXiv: 2509.24690, 42 pages. [3]. Z. Tang and X. Wu, Mixed moments of twisted L-functions, arXiv: 2512.09203, 25 pages. [4]. P. Gao and X. Wu, Upper Bounds for low moments of twisted Fourier coefficients of modular forms, arXiv: 2512.05378, 21 pages.

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