References
- A. Bloch and G. Pólya, “On the roots of certain algebraic equations,” Proc. London Math. Soc., vol. 33, pp. 102–114, 1932.
- A. T. Bharucha-Reid and M. Sambandham, Random Polynomials. Orlando, FL: Academic Press, 1986.
- J. E. Littlewood and A. C. Offord, “On the number of real roots of a random algebraic equation,” J. Lond. Math. Soc., vol. 13, pp. 288–295, 1938.
- J. M. Hammersley, “The zeroes of a random polynomial,” in Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, Vol. II, Berkeley: University of California Press, 1956, pp. 89–111.
- M. Kac, “On the average number of real roots of a random algebraic equation,” Bull. Amer. Math. Soc., vol. 49, pp. 314–320, 1943.
- A. Bloch and G. Pólya, “On the roots of certain algebraic equations,” Proc. London Math. Soc., vol. 33, pp. 102–114, 1932.
- P. Erdős and P. Turán, “On the distribution of roots of polynomials,” Ann. of Math., vol. 51, no. 2, pp. 105–119, 1950.
- S. O. Rice, “The distribution of the maxima of a random curve,” Amer. J. Math., vol. 61, 1939, pp. 409–416.
- A. Edelman and E. Kostlan, “How many zeros of a random polynomial are real?,” Bull. Amer. Math. Soc., vol. 32, 1995, pp. 1–37.
- E. Kostlan, “On the distribution of roots of random polynomials,” in From Topology to Computation: Proceedings of the Smalefest, M. W. Hirsch, J. E. Marsden, and M. Shub, Eds. New York, NY: Springer-Verlag, 1993, pp. 419–431.
- L. A. Shepp and R. J. Vanderbei, “The complex zeros of random polynomials,” Trans. Amer. Math. Soc., 1995, pp. 4365–4384.
- V. Thangraj and M. Sambandham, “On Random Polynomials-II: A Survey,” Neural, Parallel, and Scientific Computations, vol. 29, no. 4, 2021, pp. 230–251.
- E. Dobriban and Z. Kabluchko, “On the distribution of complex roots of random polynomials with heavy-tailed coefficients,” SIAM Theory of Probability and its Applications, vol. 56, no. 4, 2011, pp. 537–571.
- Q. I. Rahman and G. Schmeisser, Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties. London Mathematical Society Monographs, 2002.
- S. M. Ross, Introduction to Probability Models. Academic Press, 2014.
- W. Feller, An Introduction to Probability Theory and Its Applications. John Wiley & Sons, 2008.
- B. Datt and N. K. Govil, “On the location of the zeros of a polynomial,” J. Approx. Theory, vol. 24, 1978, pp. 78–82.
- B. Kalantari, “An infinite family of bounds on zeros of analytic functions and relationship to Smale’s bound,” Mathematics of Computation, vol. 74, 2005, pp. 841–852.
- M. Dehmer and A. Mowshowitz, “Bounds on the moduli of polynomial zeros,” Applied Mathematics and Computation, vol. 218, 2011, pp. 4128–4137.