Nonreciprocal algebraic numbers of small measure

THEOREM 2. Let p and m be a positive integer and a positive number respectively such that p-\q\ is even and non-negative, and

Positive odd integers $k$ for which $k\cdot b^{n}-1$ are composite for all $n>0$ are called Riesel numbers after an article by Riesel [26] in 1956 (so the Riesel numbers

Roughly speaking, the result says that every Moufang polygon is related to either a classical group, an algebraic group, a group of mixed type, or a Ree group in characteristic

The most celebrated result on Carmichael numbers is Theorem 1 from [1], which shows that for large values of the positive real number x there are more than x 2/7 Carmichael numbers

The main result of the paper implies that there is no chiral hypermap on surface of genus 2, while each of the surfaces of genus 3 and 4 supports (up to duality) exactly one

(We assume that d ≥ 2 because any positive integer N < 10 is trivially a 1-digit palindrome base b for any b > N .) A complete list of these palindromes can be found in

Does there exist a sequence of positive integers containing each positive integer exactly once such that the sum of the first k terms is divisible by k for each k = 1, 2, 3,..

A result on Bernoulli numbers of the second kind in the authors’ recent paper [2] can also be seen as a class of convolution identities for Stirling numbers of the first kind..