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Publications
Alexei Entin

 

Preprints

    1. A. Entin, Automorphism groups of finite extensions of fields and the minimal ramification problem, arXiv: 2408.12441 [math.NT]. arXiv

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    2. A. Entin, N. Pirani, Moments of traces of random symplectic matrices and hyperelliptic L-functions, arXiv: 2409.04844 [math.PR]. arXiv

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    3. A. Entin, C. Tsang, Normalizer quotients of symmetric groups and inner holomorphs, arXiv: 2408.07133 [math.GR]. To appear in J. Pure Appl. Algebra. arXiv

       

    4. A. Entin, Galois groups of random polynomials over the rational function field, arXiv:2403.11943 [math.NT]. To appear in J. London Math. Soc. arXiv

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    5. A. Entin, Lower bounds on the least common multiple of a polynomial sequence and its radical, arXiv:2401.05184 [math.NT]. To appear in Israel J. Math. arXiv

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    6. A. Entin, S. Landsberg, The least common multiple of polynomial values over function fields, arXiv:2310.04164 [math.NT]. To appear in Acta Arithmetica. arXiv

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Published Papers

    1. A. Entin, A. Popov, Probabilistic Galois theory over function fields, Finite Fields Appl., vol. 98 (2024). journal arXiv

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    2. L. Bary-Soroker, A. Entin, E. McKemmie, Galois groups of random additive polynomials , Trans. Amer. Math. Soc., vol. 377 (2024), pp. 2231-2259. journal arXiv

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    3. A. Entin, N. Pirani, Abhyankar's affine arithmetic conjecture for the symmetric and alternating groups, J. Pure. Appl. Algebra, vol. 228 no. 5 (2024). journal arXiv

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    4. A. Entin, N. Pirani, Local statistics for zeros of Artin-Schreier L-functions, Trans. Amer. Math. Soc., vol. 376 no. 9 (2023), pp. 6141–6175. journal arXiv

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    5. 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
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    6. L. Bary-Soroker, A. Entin, Explicit Hilbert's irreducibility theorem in function fields Contemp. Math., vol. 767 (2021), pp. 125–134. journal arXiv

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    7. A. Entin, Factorization statistics of restricted polynomial specializations over large finite fields Israel J. Math, vol. 242 (2021), pp. 37–53. journal arXiv

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    8. 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

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    9. 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

       

    10. A. Entin, Greatest prime divisor of polynomial values over function fields, Acta Arithmetica vol. 165, pp. 339-349 (2014). journal arXiv

       

    11. A. Entin, Artin-Schreier L-functions and random unitary matrices, J. Number Theory, vol. 145, pp. 340-351 (2014). journal arXiv

       

    12. 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

       

    13. 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

    1. 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