Junxian Li, Department of Mathematics, University of Illinois at Urbana-Champaign

Publications

Zeros of a family of approximations of Hecke L-functions associated with cusp forms (With A. Roy and A. Zaharescu), Ramanujan J. 41 (1-3): 391-419, 2016.
Smooth $L^2$ distances and zeros of approximations of Dedekind zeta functions (With M. Nastasescu , A. Roy , and A. Zaharescu), Manuscripta Math, 154(1-2): 195--223, 2017.
A lower bound for the least prime in an arithmetic progression (With K. Pratt and G. Shakan), Q. J. Math. 68(3): 729--758, 2017.
Exact evaluation of second moments associated with some families of curves over a finite field (With R. Donepudi and A. Zaharescu), Finite Fields Appl, 48: 331--355, 2017.
On distinct consecutive $r$-difference (with G. Shakan), J. Number Theory. 199: 363--376, 2019.
A local Benford law for a class of arithmetic sequences (with Z. Cai and A.J. Hildebrand), Int. J. Number Theory. 15(3): 613--638, 2019.
Value distribution of $L'(\rho)$ (with A. Zaharescu), J. Math. Anal. Appl. 480(1): 123400, 24 pp, 2019.
Almost Beatty Partitions (with A.J. Hildebrand, X. Li and Y. Xie) , J. Integer Seq. 22(4): Art. 19.4.6, 34 pp, 2019.
The final problem: an identity from Ramanujan's lost notebook (with B.C. Berndt and A. Zaharescu), J. Lond. Math. Soc. (2) 100(2): 568--591, 2019.
A binary quadratic Titchmarsh divisor problem, Acta Arithmetica 192(4): 341--361, 2020.
Ducci iterates and similar ordering on sets of visible points (with A. Tamazyan), Int. J. Number Theory. 16(1): 1--28, 2020.
The surprising accuracy of Benford's law in mathematics( with Z. Cai, M. Faust, A. J. Hildebrand and Y. Zhang), Amer. Math. Monthly 127 (3): 217--237, 2020. (winner of the Paul R. Halmos-Lester R. Ford Award (2021))
Leading digits of Mersenne numbers (with Z. Cai, M Faust, A.J. Hildebrand, and Y. Zhang), Exp. Math. 30(3): 405--421, 2021.
Large values of Dirichlet $L$-functions at zeros of a class of $L$-functions, Canad. J. Math. 73(2021), no. 6, 1459--1505.
Uniform Titchmarsh divisor problems (with E. Assing and V. Blomer), Adv. Math. 393(2021), Paper No. 108076, 51 pp, arXiv:2005.13915.
Lower bounds for discrete negative moments of the Riemann zeta function (with W. Heap and J. Zhao), Algebra Number Theory, 16(2022), no. 7, 1589--1625, arXiv:2003.09368.
Correlations of values of random diagonal forms (with V. Blomer), to appear in IMRN, arXiv:2211.02469, 28 pp.
Additive problems with almost prime squares (with V. Blomer, L. Grimmelt and S. Rydin Myerson), to appear in GAFA, arXiv:2111.01601, 50 pp.

Preprints

Joint value distribution of $L$-functions on the critical line (with S. Inoue), arXiv:2102.12724, 50 pp.
Simultaneous large values and dependence of Dirichlet L-functions in the critical strip (with S. Inoue), arXiv:2211.15165, 23 pp.
Simultaneous extreme values of zeta and L-functions (with W. Heap), arXiv:2306.07777, 37 pp.

Conference Proceedings

On primes in arithmetic progressions, Automorphic forms and related topics, 165--167, Contemp. Math. 732, Amer. Math. Soc., Providence, RI, 2019.
The Final Problem: A Series Identity from the Lost Notebook (with B.C. Berndt and A. Zaharescu), George E. Andrews 80 Years of Combinatory Analysis, K. Alladi, B. C. Berndt, P. Paule, J. Sellers, and A. J. Yee, eds., Birkhäuser, 783--790, 2021.