Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.
Updated
Claims
1945_12_01_erdos: Proves that for real numbers of absolute value at least one, at most the middle binomial coefficient of the signed sums lie in any open interval of length two, Problem 498 for real coefficients; refereed.
1965_08_01_kleitman: Proves that at most the middle binomial coefficient of the signed sums of n complex numbers of modulus above one lie in a closed unit disc, and so, by finite scaling, of modulus at least one in an open unit disc; refereed.
1970_08_01_kleitman: Resolves Erdős's 1945 Hilbert-space conjecture: for vectors of norm at least one, at most the middle binomial coefficient of the signed sums lie in any open ball of radius one; refereed.