Publications
Alexei Entin
Preprints
- L. Bary-Soroker, A. Entin, E. McKemmie, Galois groups of random additive polynomials , arXiv:2304.13709 [math.NT] (2023) arXiv
- A. Entin, N. Pirani, Abhyankar's affine arithmetic conjecture for the symmetric and alternating groups, arXiv:2205.03879 [math:NT] (2021). arXiv
- A. Entin, N. Pirani, Local statistics for zeros of Artin-Schreier L-functions, to appear in Trans. Amer. Math. Soc. (accepted 2022). arXiv
Published Papers
- L. Bary-Soroker, A. Entin, A. Fehm, The minimal ramification problem for rational function fields over finite fields, Int. Math. Res. Not., rnac370 (2023). journal arXiv
journal
- L. Bary-Soroker, A. Entin, Explicit Hilbert's irreducibility theorem in function fields Contemp. Math., vol. 767 (2021), pp. 125–134. journal arXiv
- A. Entin, Factorization statistics of restricted polynomial specializations over large finite fields Israel J. Math, vol. 242 (2021), pp. 37–53. journal arXiv
- A. Entin, Monodromy of hyperplane sections of curves and decomposition statistics over finite fields, Int. Math. Res. Not., vol 2021 no. 14 (2021), pp. 10409–10441, published online Jul 2019. journal
arXiv
- A. Entin, On the Bateman-Horn conjecture for polynomials over large finite fields, Comp. Math., vol. 152 no. 12. pp. 2525-2544 (2016). journal arXiv
- A. Entin, Greatest prime divisor of polynomial values over function fields, Acta Arithmetica vol. 165, pp. 339-349 (2014). journal arXiv
- A. Entin, Artin-Schreier L-functions and random unitary matrices, J. Number Theory, vol. 145, pp. 340-351 (2014). journal arXiv
- A. Entin, E. Roditty-Gershon, Z. Rudnick, Low-lying zeros of quadratic Dirichlet L-functions, hyper-elliptic curves and Random Matrix Theory, Journal of Geometric and Functional Analysis vol. 23 no. 4 (2013). journal arXiv
- A. Entin, On the distribution of zeroes of Artin-Schreier L-functions, Journal of Geometric and Functional Analysis vol. 22 no. 5, pp. 1322-1360 (2012). journal arXiv
Appendices
- D. Carmon with appendix by A. Entin, On square-free values of large polynomials over the rational function field, Math. Proc. Cambridge Philos. Soc. vol. 170 no. 2, pp. 247-263 (2021), published online Dec 2019. journal arXiv