On the Number of Real Roots of a Random Algebraic Equation

J. E. Littlewood, A. C. Offord

Type: Article

Publication Date: 1938-10-01

Citations: 354

DOI: https://doi.org/10.1112/jlms/s1-13.4.288

View Publication

Locations

Journal of the London Mathematical Society - View

Similar Works

Action	Title	Year	Authors
+	On the Number of Real Roots of a Random Algebraic Equation	1965	E. A. Evans
+	On the Number of Real Roots of a Random Algebraic Equation	1956	Paul Erdős A. C. Offord
+	On the Average Number of Real Roots of a Random Algebraic Equation (II)	1948	Mark Kac
+	The Number of Real Zeros of a Class of Random Algebraic Polynomials	1968	Jonathan Dunnage
+	The Number of Real Zeros of a Random Trigonometric Polynomial	1966	Jonathan Dunnage
+	The Number of Real Zeros of a Class of Random Algebraic Polynomials (Iii)	1972	Jonathan Dunnage
+	On the Upper Bound of the Number of Real Roots of a Random Algebraic Equation with Infinite Variance	1973	G. Samal Μ. N. Mishra
+	ON THE REAL ROOTS OF A RANDOM ALGEBRAIC POLYNOMIAL	2015	Somnath Bagh
+ PDF Chat	On the average number of real roots of a random algebraic equation	1943	Mark Kac
+ PDF Chat	Correction: On the Average Number of Real Roots of a Random Algebraic Equation	1987	K. Farahmand
+	Real Zeros of a Random Algebraic Polynomial with Infinite Variance	1974	G. Samal Μ. N. Mishra
+	On the Average Number of Real Roots of a Random Algebraic Equation (II)	1948	M. Kac
+ PDF Chat	On the lower bound of the number of real roots of a random algebraic equation with infinite variance	1972	G. Samal Μ. N. Mishra
+	Real Zeros of Random Polynomials	1968	B. F. Logan L. A. Shepp
+	On the number of real roots of a random algebraic equation. II	1939	J. E. Littlewood A. C. Offord
+	REAL ZEROS OF A RANDOM ALGEBRAIC POLYNOMIAL	1973	G. Samal Μ. N. Mishra
+ PDF Chat	On the number of real roots of a random algebraic equation	1993	D. Pratihari Rajendranath Panda Bhabani Prasanna Pattanaik
+	The average number of real zeros of a random polynomial	1969	D. C. Stevens
+	ON THE EXPECTED NUMBER OF REAL ROOTS OF A SYSTEM OF RANDOM POLYNOMIAL EQUATIONS	2002	Eric Kostlan
+	On the bound of the number of real roots of a random algebraic polynomial	1996	隆宇野

Works That Cite This (329)

Action	Title	Year	Authors
+ PDF Chat	Il'dar Abdullovich Ibragimov (on his ninetieth birthday)	2023	Alexander Alekseevich Borovkov Alexander Bulinski Анатолий Моисеевич Вершик Dmitry Zaporozhets Alexander Semenovich Holevo Albert N. Shiryaev
+ PDF Chat	Ildar Abdullovich Ibragimov (on his ninetieth birthday)	2023	Alexander Alekseevich Borovkov Alexander Bulinski Анатолий Моисеевич Вершик Dmitry Zaporozhets A. S. Holevo Albert N. Shiryaev
+	On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk	2020	Kevin G. Hare Jonas Jankauskas
+ PDF Chat	The density of complex zeros of random sums	2020	Christopher R. Corley Andrew Ledoan
+ PDF Chat	Non-asymptotic Theory of Random Matrices: Extreme Singular Values	2011	Mark Rudelson Roman Vershynin
+ PDF Chat	Geometric and o-minimal Littlewood–Offord problems	2022	Jacob Fox Matthew Kwan Hunter Spink
+ PDF Chat	RANDOM MATRICES: THE CIRCULAR LAW	2008	Terence Tao Van Vu
+ PDF Chat	Random symmetric matrices are almost surely nonsingular	2006	Kevin Costello Terence Tao Van Vu
+	Equilibrium distribution of zeros of random polynomials	2002	Bernard Shiffman Steve Zelditch
+	Random Matrices: The circular Law	2007	Terence Tao Van Vu

Works Cited by This (0)

Action	Title	Year	Authors