Hung M. Bui (Bùi Mạnh Hùng)

Published/Accepted Papers

My profile on MathSciNet, ZentralblattMATH, arXiv and Google Scholar.

1. (with A. Florea) Negative moments of the Riemann zeta-function, to appear in J. Reine Angew. Math. (Crelle's Journal) [arXiv]
   
   
2. (with N. Evans, S. J. Lester and K. Pratt) Weighted central limit theorems for central values of L-functions, to appear in J. Eur. Math. Soc. (JEMS) [arXiv]
   
   
3. (with K. Pratt and A. Zaharescu) Analytic ranks of automorphic L-functions and Landau-Siegel zeros, to appear in J. London Math. Soc. [journal]
   
   
4. (with K. Pratt and A. Zaharescu) A problem of Erdös-Graham-Granville-Selfridge on integral points on hyperelliptic curves, to appear in Math. Proc. Camb. Philos. Soc. [journal]
   
   
5. (with D. A. Goldston, M. B. Milinovich and H. L. Montgomery) Small gaps and small spacings between zeta zeros, Acta Arith. 210 (2023), 133-153 (special issue dedicated to Andrzej Schinzel). [journal]
   
   
6. (with R. R. Hall) On the derivatives of Hardy's function Z(t), Bull. London Math. Soc. 55 (2023), 2304-2323 [journal]
   
   
7. (with R. R. Hall) A note on the zeros of the derivatives of Hardy's function Z(t), Mathematika 69 (2023), 780-794 [journal]
   
   
8. (with K. Pratt and A. Zaharescu) Power savings for counting solutions to polynomial-factorial equations, Adv. Math. 422 (2023), 109021 [journal]
   
   
9. (with A. Florea and J. P. Keating) The Ratios Conjecture and upper bounds for negative moments of L-functions over function fields, Trans. Amer. Math. Soc. 376 (2023), 4453-4510 [journal]
   
   
10. (with K. Pratt and A. Zaharescu) Exceptional characters and nonvanishing of Dirichlet L-functions, Math. Ann. 380 (2021), 593-642 [journal]
    
    
11. (with A. Florea and J. P. Keating) Type-I contributions to the one and two level densities of quadratic Dirichlet L-functions over function fields, J. Number Theory 221 (2021), 389-423 [journal]
    
    
12. (with S. Bettin, X. Li and M. Radziwill) A quadratic divisor problem and moments of the Riemann zeta-function, J. Eur. Math. Soc. (JEMS) 22 (2020), 3953-3980 [journal]
    
    
13. (with A. Florea, J. P. Keating and E. Roditty-Gershon) Moments of quadratic twists of elliptic curve L-functions over function fields, Algebra Number Theory 14 (2020), 1853-1893 [journal]
    
    
14. (with K. Pratt, N. Robles and A. Zaharescu) Breaking the 1/2 barrier for the twisted second moment of Dirichlet L-functions, Adv. Math. 370 (2020), 107175 [journal]
    
    
15. (with A. Florea) Moments of Dirichlet L-functions with prime conductors over function fields, Finite Fields Appl. 64 (2020), 101659 [journal]
    
    
16. (with A. Florea) Zeros of quadratic Dirichlet L-functions in the hyperelliptic ensemble, Trans. Amer. Math. Soc. 370 (2018), 8013-8045 [journal]
    
    
17. (with M. B. Milinovich) Gaps between zeros of the Riemann zeta-function, Q. J. Math. 69 (2018), 403-423 [journal]
    
    
18. (with A. Florea) Hybrid Euler-Hadamard product for quadratic Dirichlet L-functions in function fields, Proc. London Math. Soc. 117 (2018), 65-99 [journal]
    
    
19. (with W. P. Heap and C. L. Turnage-Butterbaugh) Gaps between zeros of Dedekind zeta-functions of quadratic number fields. II, Q. J. Math. 67 (2016), 467-482 [journal]
    
    
20. (with J. P. Keating and D. J. Smith) On the variance of sums of arithmetic functions over primes in short intervals and pair correlation for L-functions in the Selberg class, J. London Math. Soc. 94 (2016), 161-185 [journal]
    
    
21. (with S. M. Gonek and M. B. Milinovich) A hybrid Euler-Hadamard product and moments of ζ'(ρ), Forum Math. 27 (2015), 1799-1828 [journal]
    
    
22. Large gaps between consecutive zeros of the Riemann zeta-function. II, Acta Arith. 165 (2014), 101-122 [journal]
    
    
23. (with S. J. Lester and M. B. Milinovich) On Balazard, Saias, and Yor's equivalence to the Riemann Hypothesis, J. Math. Anal. Appl. 409 (2014), 244-253 [journal]
    
    
24. (with D. R. Heath-Brown) On simple zeros of the Riemann zeta-function, Bull. London Math. Soc. 45 (2013), 953-961 [journal]
    
    
25. Twists of automorphic L-functions at the central point, Int. J. Number Theory 9 (2013), 1015-1053 [journal]
    
    
26. Non-vanishing of Dirichlet L-functions at the central point, Int. J. Number Theory 8 (2012), 1855-1881 [journal]
    
    
27. (with M. B. Milinovich) Central values of derivatives of Dirichlet L-functions, Int. J. Number Theory 7 (2011), 371-388 [journal]
    
    
28. Large gaps between consecutive zeros of the Riemann zeta-function, J. Number Theory 131 (2011), 67-95 [journal]
    
    
29. (with J. B. Conrey and M. P. Young) More than 41% of the zeros of the zeta function are on the critical line, Acta Arith. 150 (2011), 35-64 [journal]
    
    
30. (with M. B. Milinovich and N. C. Ng) A note on the gaps between consecutive zeros of the Riemann zeta-function, Proc. Amer. Math. Soc. 138 (2010), 4167-4175 [journal]
    
    
31. (with D. R. Heath-Brown) A note on the fourth moment of Dirichlet L-functions, Acta Arith. 141 (2010), 335-344 [journal]
    
    
32. Gaps between zeros of the derivative of the Riemann ξ-function, J. Théor. Nombres Bordeaux 22 (2010), 287-305 [journal]
    
    
33. A note on the second moment of automorphic L-functions, Mathematika 56 (2010), 35-44 [journal]
    
    
34. (with J. P. Keating) On the mean values of L-functions in orthogonal and symplectic families, Proc. London Math. Soc. 96 (2008), 335-366 [journal]
    
    
35. (with J. P. Keating) On the mean values of Dirichlet L-functions, Proc. London Math. Soc. 95 (2007), 273-298 [journal]
    
    
36. (with J. P. Keating) On twin primes associated with the Hawkins random sieve, J. Number Theory 119 (2006), 284-296 [journal]