Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions ofâ€¦ (More)

During the last few years, many countries around the world have seen a massive deployment of distributed energy resources (DERs) in their distribution systems. In certain regions, penetration hasâ€¦ (More)

For F âˆˆ Z[X], let Î¨F (x, y) denote the number of positive integers n not exceeding x such that F (n) is free of prime factors > y. Our main purpose is to obtain lower bounds of the form Î¨F (x, y) xâ€¦ (More)

Every positive rational number has representations as Egyptian fractions (sums of reciprocals of distinct positive integers) with arbitrarily many terms and with arbitrarily large denominators.â€¦ (More)

In a recent issue of this MONTHLY, Hetzel, Liew, and Morrison [4] pose a rather natural question: what is the probability that a random nÃ— n integer matrix is diagonalizable over the field ofâ€¦ (More)