Add to ORKGTo the memor!l of m!l old friend Professor George Sved.I heard of his untimel!l death while writing this paper
Let $\{a_1, . . . , a_n\}$ be a set of positive integers with $a_1 < \dots < a_n$ such that all $2^n...
It is shown that every sufficiently large even integer is a sum of two primes and exactly 13 powers ...
AbstractIt is shown: (i) there exist distinct odd naturals, the sum of whose reciprocals is equal to...
AbstractWe define h(n) to be the largest function of n such that from any set of n nonzero integers,...
AbstractLet n be a positive integer and let A = {a1,…, as}, B = {b1,…, bt} be two sets of positive i...
In 1950 Paul Erdos observed that every integer belonged to a certain system of congruences with dist...
A conjecture made in 1849 by French mathematician Alphonse de Polignac is that every odd number can ...
AbstractF. Cohen raised the following question: Determine or estimate a function F(d) so that if we ...
A set S of positive integers has distinct subset sums if the set x∈X x: X ⊂ S � has 2 |S | distinct ...
AbstractErdős estimated the maximal number of integers selected from {1,2,…,N}, so that none of them...
AbstractM. Filaseta, K. Ford, S. Konyagin, C. Pomerance and G. Yu proved that if the reciprocal sum ...
AbstractWe show that for everyk⩾3 the number of subsets of {1, 2, …, n} containing no solution tox1+...
AbstractSuppose ε > 0 and k > 1. We show that if n > n0(k, ε) and A ⊆ Zn satisfies |A| > ((1k) + ε)n...
AbstractAn analytical method is developed to prove that, for the integer set Aϵ[1,l], with l>;l0 and...
In 1950 Erdos made the following conjecture ($1000 reward for a solution): Given an integer {\it m\/...
Let $\{a_1, . . . , a_n\}$ be a set of positive integers with $a_1 < \dots < a_n$ such that all $2^n...
It is shown that every sufficiently large even integer is a sum of two primes and exactly 13 powers ...
AbstractIt is shown: (i) there exist distinct odd naturals, the sum of whose reciprocals is equal to...
AbstractWe define h(n) to be the largest function of n such that from any set of n nonzero integers,...
AbstractLet n be a positive integer and let A = {a1,…, as}, B = {b1,…, bt} be two sets of positive i...
In 1950 Paul Erdos observed that every integer belonged to a certain system of congruences with dist...
A conjecture made in 1849 by French mathematician Alphonse de Polignac is that every odd number can ...
AbstractF. Cohen raised the following question: Determine or estimate a function F(d) so that if we ...
A set S of positive integers has distinct subset sums if the set x∈X x: X ⊂ S � has 2 |S | distinct ...
AbstractErdős estimated the maximal number of integers selected from {1,2,…,N}, so that none of them...
AbstractM. Filaseta, K. Ford, S. Konyagin, C. Pomerance and G. Yu proved that if the reciprocal sum ...
AbstractWe show that for everyk⩾3 the number of subsets of {1, 2, …, n} containing no solution tox1+...
AbstractSuppose ε > 0 and k > 1. We show that if n > n0(k, ε) and A ⊆ Zn satisfies |A| > ((1k) + ε)n...
AbstractAn analytical method is developed to prove that, for the integer set Aϵ[1,l], with l>;l0 and...
In 1950 Erdos made the following conjecture ($1000 reward for a solution): Given an integer {\it m\/...
Let $\{a_1, . . . , a_n\}$ be a set of positive integers with $a_1 < \dots < a_n$ such that all $2^n...
It is shown that every sufficiently large even integer is a sum of two primes and exactly 13 powers ...
AbstractIt is shown: (i) there exist distinct odd naturals, the sum of whose reciprocals is equal to...