Bound for the maximal probability in the Littlewood-Offord problem

J. E. Littlewood, A. C. Offord, ”On the number of real roots of a random algebraic equation,” Rec. Math. [Mat. Sbornik] N.S

1943

Earlier work this paper cites.

P. Erdös, ”On a lemma of Littlewood and Offord”, Bull. Amer. Math. Soc

1945

Earlier work this paper cites.

T. V. Arak, ”On the approximation by the accompanying laws of n n -fold convolutions of distributions with nonnegative characteristic functions.” Teor. Veroyatn. Primen

1980

Earlier work this paper cites.

W. Hengartner, R. Theodorescu, Concentration Functions,

1980

Earlier work this paper cites.

T. V. Arak, ”On the convergence rate in Kolmogorov’s uniform limit theorem. I,” Teor. Veroyatn. Primen

1981

Earlier work this paper cites.

T. V. Arak and A. Yu. Zaitsev, ”Uniform limit theorems for sums of independent random variables,” Proc. Steklov Inst. Math

1988

Earlier work this paper cites.

M. Rudelson, R. Vershynin, ”The Littlewood–Offord problem and invertibility of random matrices,” Adv. Math

2008

Cited alongside, same era.

M. Rudelson, R. Vershynin, ”The smallest singular value of a random rectangular matrix,” Comm. Pure Appl. Math

2009

Cited alongside, same era.

T. Tao, V. Vu, ”Inverse Littlewood–Offord theorems and the condition number of random discrete matrices,” Ann. Math

2009

Cited alongside, same era.

T. Tao, V. Vu, ”From the Littlewood–Offord problem to the circular law: universality of the spectral distribution of random matrices,” Bull. Amer. Math. Soc

2009

Cited alongside, same era.

H. Nguyen, V. Vu, ”Optimal inverse Littlewood–Offord theorems,” Adv. Math

2011

Cited alongside, same era.

Yu. S. Eliseeva, ”Multivariate estimates for the concentration functions of weighted sums of independent identically distributed random variables,” Zap. Nauchn. Semin. POMI

2013

Later among the works it cites.

Yu. S. Eliseeva, F. Götze, A. Yu. Zaitsev, ”Estimates for the concentration functions in the Littlewood–Offord problem,” Zap. Nauchn. Semin. POMI

2013

Later among the works it cites.

H. Nguyen, V. Vu, ”Small probabilities, inverse theorems and applications,” Erdös Centennial Proceeding

2013

Later among the works it cites.

Yu. S. Eliseeva, A. Yu. Zaitsev, ”On the Littlewood–Offord problem,” Zap. Nauchn. Semin. POMI

2014

Later among the works it cites.

R. Vershynin, ”Invertibility of symmetric random matrices,” Random Structures and Algorithms

2014

Later among the works it cites.