Research
Research
You can link my papers at ResearchGate.
Preprints
1. Fei Hou and Guangshi Lü, "Hybrid bounds for GL(4)×GL(1) twisted L-functions", 21pp, submitted, 2024. (pdf)
2. Fei Hou and Guangshi Lü, "First moments of GL(3)×GL(2) and GL(2) L-functions and their applications to subconvexity", 29pp, submitted, 2024. (pdf)
3. Fei Hou, Yishen Wang and Junjie Pan, "Sign changes in short intervals related to Rankin-Selberg L-functions in the level aspect", 21pp, submitted, 2024. (pdf)
4. Fei Hou and Yishen Wang, "Sums of coefficients of the associated Dirichlet series for triple product L-functions in the level aspect", 15pp, submitted, 2024. (pdf)
5. Fei Hou and Guangshi Lü, "Bounds on shifted convolution sums for Fourier coefficients of cusp forms and Jacobi theta series", 14pp, submitted, 2023. (pdf)
6. Fei Hou and Yishen Wang, "Asymptotics for the Dirichlet coefficients of triple product L-functions", 22pp, submitted, 2023. (pdf).
7. Fei Hou and Guangshi Lü, "On triple convolution sums of cusp forms on GL4(Z) with arbitrary theta series", 21pp, submitted, 2023. (pdf)
8. Fei Hou and Guangshi Lü, "Hybrid bounds for GL3×GL1 twisted L-functions in the level aspect and their applications", 31pp, submitted, 2022. (pdf)
9. Fei Hou, "Hybrid subconvexity for GL(3)×GL(2) twisted L-functions", 26pp, submitted, 2019. (pdf)
Published papers
1. Fei Hou and Guangshi Lü, "Triple Correlation Sums of Coefficients of Maass Forms For SL 4(ℤ)", The Quarterly Journal of Mathematics , Volume 75 (2024), Issue 3: 1123-1148. doi: 10.1093/qmath/haae036. (pdf)
2. Fei Hou, "Level aspect exponential sums involving Fourier coefficients of symmetric-square lifts", Acta Mathematica Hungarica, Volume 172 (2024): 306-323. doi: 10.1007/s10474-024-01411-4 . (pdf)
3. Fei Hou, "On the general triple correlation sums for GL2×GL2×GL2", Rocky Mountain Journal of Mathematics, In press (2024). (pdf)
4. Fei Hou and Guangshi Lü, "An explicit Vorono\u{\i} formula for SL3(R) newforms underlying the symmetric lifts in the level aspect", International Journal of Number Theory, Volume 20 (2023), Issue 3: 797-809. doi: 10.1142/S1793042124500404. (pdf)
5. Fei Hou, "The exponential sums related to cusp forms in the level aspect", Functiones et Approximatio Commentarii Mathematici, Volume 69 (2023), Issue 2: 193-218. doi: 10.7169/facm/2079. (publisher)
6. Fei Hou, "The average of the exponential sums related to cusp forms", International Journal of Number Theory, Volume 19 (2023), Issue 8: 1995-2013. doi: 10.1142/S1793042123500963. (pdf)
7. Fei Hou and B. Chen, "Triple correlation sums of coefficients of θ-series", AIMS Mathematics, Volume 8, Issue 10: 25275-25287. doi: 10.3934/math.20231289
8. Fei Hou, "Triple correlation sums of coefficients of cuspidal forms", Journal of Number Theory, Volume 248, July 2023, 172-207. doi: 10.1016/j.jnt.2023.01.008.
9. Fei Hou, "On the exponential sums estimates related to Fourier coefficients of GL3 Hecke-Maass forms", AIMS Mathematics, Volume 8, Issue 4: 7806-7816. doi: 10.3934/math.2023392
10. Fei Hou, "On triple correlation sums of Fourier coefficients of cusp forms", AIMS Mathematics, Volume 7, Issue 10: 19359-19371. doi: 10.3934/math.20221063
11. Fei Hou, "Weight aspect exponential sums for Fourier coefficients of cusp forms", Monatshefte für Mathematik, volume 199, 527-553. doi: 10.1007/s00605-022-01750-w.
12. Fei Hou, "Hybrid subconvexity bounds for L(1/2, sym(2)f circle times( chi))", The Ramanujan Journal, Volume 57, 1423-1443. doi: 10.1007/s11139-021-00507-7.
13. Fei Hou, "On exponential sums for coefficients of general L-functions", International Journal of Number Theory, Volume 17, Issue 8: 1851-1872. doi: 10.1142/S1793042121500664.
14. Fei Hou and B. Chen, "Level aspect subconvexity for twisted L-function", Journal of Number Theory, Volume 203, 12-31. doi: 10.1016/j.jnt.2019.03.005.
15. Fei Hou, Meng Zhang, "Hybrid bounds for Rankin-Selberg L-functions", Journal of Number Theory, Volume 175, 21-41. doi: 10.1016/j.jnt.2016.11.009.
16. Fei Hou, Yujiao Jiang and Guangshi Lü, "On exponential sums involving coefficients of L-functions for SL(3, Z) over primes", The Quarterly Journal of Mathematics, Volume 67, Issue 2: 285-301. doi: 10.1093/qmath/haw006.
17. Fei Hou, "On exponential sums involving Fourier coefficients of cusp forms over primes", Journal of Number Theory, Volume 164, 375-404. doi: 10.1016/j.jnt.2016.01.005.
18. Fei Hou and Guangshi Lü, "Oscillations of Fourier coefficients of cusp forms over primes", Journal of Number Theory, Volume 159, 370-383. doi: 10.1016/j.jnt.2015.07.007.
19. Fei Hou, "Oscillations of coefficients of symmetric square L-functions over primes", Frontiers of Mathematics in China, Volume 10, Issue 6: 1325-1341. doi: 10.1007/s11464-015-0442-6.