山东大学教师主页蒋玉蛟论文成果中文主页

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个人信息

蒋玉蛟Jiang Yujiao

(教授)

博士生导师硕士生导师
教师姓名：蒋玉蛟
教师英文名称：Jiang Yujiao
入职时间：2017-07
所在单位：数学与统计学院
性别：男
职称：教授

论文成果

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[1] Yujiao Jiang. On Hypothesis H of Rudnick and Sarnak. arXiv:2507.20653,
[2] Yujiao Jiang and Guangshi Lü. Additive divisor problem for multiplicative functions. arXiv,
[3] Yujiao Jiang and Guangshi Lü. Summation formulae of multiplicative functions over arithmetic progressions and applications. Canad. J. Math., 77, 1243-1270, 2025.
[4] Yujiao Jiang , Tingting Wen and Wenjia Zhao. Rational points on a class of cubic hypersurfaces. Forum Math., 37, 1009–1034, 2025.
[5] Yujiao Jiang and Guangshi Lü. Correlations of multiplicative functions with automorphic L-functions. Int. Math. Res. N..., 2, 1733-1770, 2024.
[6] Yujiao Jiang , Guangshi Lü , Jesse Thorner and Zihao Wang. A Bombieri-Vinogradov theorem for higher rank groups. Int. Math. Res. N..., 1, 482-535, 2023.
[7] Yujiao Jiang , Guangshi Lü and Zihao Wang. Möbius randomness law for GL(m) automorphic L-functions twisted by additive characters. Proc. Amer. Math...., 151, 475-488, 2023.
[8] Yujiao Jiang , Guangshi Lü and Zhiwei Wang. Averaged form of two conjectures of Erdős and Pomerance, and their applications. Adv. Math., 409, Part A, 108592, 2022.
[9] Yujiao Jiang , Guangshi Lü and Zihao Wang. A Bombieri-Vinogradov theorem for number fields. Mathematika, 67, 678-713, 2021.
[10] Yujiao Jiang and Guangshi Lü. The generalized Bourgain-Sarnak-Ziegler criterion and its application to additively twisted sums on GL_m. Sci. China Math., 10, 2207-2230, 2021.
[11] Yujiao Jiang and Guangshi Lü. Cancellation in algebraic twisted sums on GL(m). Forum Math., 33, 1061-1082, 2021.
[12] Yujiao Jiang , Guangshi Lü and Zhiwei Wang. Exponential sums with multiplicative coefficients without the Ramanujan conjecture. Math. Ann., 379, 589-632, 2021.
[13] Yujiao Jiang and Guangshi Lü. The Bombieri-Vinogradov theorem on higher rank groups and its applications. Canad. J. Math., 72, 928-966, 2020.
[14] Guangwei Hu , Yujiao Jiang and Guangshi Lü. The Fourier coefficients of Theta-series in arithmetic progressions. Mathematika, 66, 39-55, 2020.
[15] Yujiao Jiang and Guangshi Lü. On an analogue of prime vectors among integer lattice points in ellipsoids for automorphic forms. Int. J. Number Th..., 1, 145-160, 2020.
[16] Yujiao Jiang and Guangshi Lü. Shifted convolution sums for higher rank groups. Forum Math., 31, 361-383, 2019.

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