Lv Guangshi
Professor
吕广世，山东大学特聘教授、国家级领军人才。2004年，于山东大学获理学博士学位；2008年，公派美国斯坦福大学博士后；2009年，破格晋升为山东大学教授。2010年，入选教育部新世纪优秀人才支持计划；2011年，获山东省自然科学杰出青年基金；2017年，入选山东省泰山学者特聘专家；2023年，入选国家高层次人才计划。2012—2019年，任数学学院副院长。2019年，任山东大学澳国立联合理学院执行院长。 主要从事解析数论的研究，在自守形式解析理论与素数分布领域取得系列进展，于Math. ... More+
Paper Publications
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[1] 蒋玉蛟. 关于自守L-函数的系数的研究综述（英文）. 数学进展, 52, 201, 2023.
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[2] 蒋玉蛟 , 吕广世 and 王志伟. Averaged forms of two conjectures of Erdős and Pomerance, and their applications. Advances in Mathematics, 409, 108592, 2022.
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[3] 蒋玉蛟, 吕广世, J. Thorner and 王子豪. A Bombieri-Vinogradov theorem for higher rank groups. Int. Math. Res. Not. IMRN, Doi:10.1093/imrn/rnab261, 2021., 2021.
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[4] 蒋玉蛟 , 吕广世 and 王志伟. Exponential sums with multiplicative coefficients without the Ramanujan conjecture. Mathematische Annalen, 379, 589-632, 2021.
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[5] 蒋玉蛟 and 吕广世. The Bombieri-Vinogradov theorem on higher rank groups and its applications. Canadian Journal of Mathematics, 72, 928-966, 2020.
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[6] 胡广伟 , 蒋玉蛟 and 吕广世. The Fourier coefficients of Θ-series in arithmetic progressions. Mathematika, 66, 39-55, 2020.
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[7] 蒋玉蛟 , Yuk-kam Lau , 吕广世 , E. Royer and 吴杰. On Fourier coefficients of modular forms of half integral weight at square-free integers. Mathematische Zeitschrift, 293, 789-808, 2019.
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[8] 蒋玉蛟 and 吕广世. Shifted convolution sums for higher rank groups. Forum Mathematicum, 31, 361-383, 2019.
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[9] Lv Guangshi and 吕广世. Exponential sums with Fourier coefficients of automorphic forms. Mathematische Zeitschrift, 289, 267-278, 2018.
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[10] jiangyujiao and Lv Guangshi. Fourth power moment of coefficients of automorphic L-functions for GL(m). Forum Mathematicum, 29, 1199, 2017.
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[11] 吕广世 , 翟文广 and 吴杰. Shifted convolution of cusp-forms with θ -series. The Ramanujan Journal, 40, 115-133, 2016.
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[12] 候飞 , 蒋玉蛟 and 吕广世. On exponential sums involving coefficients of L-functions for SL(3,Z) over primes. Quarterly Journal of Mathematics, 67, 285-301, 2016.
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[13] 蒋玉蛟 , 吕广世 and 阎晓斐. Mean value theorem connected with Fourier coefficients of Hecke-Maass forms for SL(m, Z). Math. Proc. Cambridge Philos. Soc., 161, 339-356, 2016.
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[14] 吕广世 , 翟文广 and 吴杰. On a divisor problem related to the Epstein zeta-function, III. Quarterly Journal of Mathematics, 63, 953-963, 2012.
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[15] 吕广世 , 翟文广 and 吴杰. On a divisor problem related to the Epstein zeta-function, IV. Acta Arithmetica, 154, 307-324, 2012.
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[16] Yuk-kam Lau , 吕广世 and 吴杰. Integral power sums of Hecke eigenvalues. Acta Arithmetica, 150, 193-207, 2011.
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[17] 吕广世 , 翟文广 and 吴杰. On a divisor problem related to the Epstein zeta-function II. Journal of Number Theory, 131, 1734-1742, 2011.
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[18] Lv Guangshi. On higher moments of Fourier coefficients of holomorphic cusp forms. Canadian Journal of Mathematics, 63, 634-647, 2011.
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[19] Yuk-kam Lau and 吕广世. Sums of Fourier coefficients of cusp forms,. Quarterly Journal of Mathematics, 62, 687-716, 2011.
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[20] Lv Guangshi and 吕广世. On a divisor problem related to the Epstein zeta-function. Bulletin of the London Mathematical Society, 42, 267-274, 2010.