AbstractFor finite subsets A1,…,An of a field, their sumset is given by {a1+⋯+an:a1∈A1,…,an∈An}. In this paper, we study various restricted sumsets of A1,…,An with restrictions of the following forms:ai-aj∉Sij,orαiai≠αjaj,orai+bi≢aj+bj(modmij).Furthermore, we gain an insight into relations among recent results on this area obtained in quite different ways
AbstractThe arithmetic–geometric mean inequality for singular values due to Bhatia and Kittaneh says...
AbstractWe give a short proof of Miki's identity for Bernoulli numbers,∑i=2n-2βiβn-i-∑i=2n-2niβiβn-i...
AbstractLet fbe an absolutely continuous function on [0,1] satisfying f′∈Lp[0,1], p>1, Qn-be the set...
AbstractLet A1,…,An be finite subsets of a field F, and letf(x1,…,xn)=x1k+⋯+xnk+g(x1,…,xn)∈F[x1,…,xn...
AbstractThe famous Erdős–Heilbronn conjecture plays an important role in the development of additive...
AbstractThe n-th product level of a skew–field D, psn(D), is a generalization of the n-th level of a...
AbstractLet K={k1,k2,…,kr} and L={l1,l2,…,ls} be subsets of {0,1,…,p−1} such that K∩L=0̸, where p is...
AbstractIn this paper, some new results about the existence of positive solutions for singular semi-...
AbstractLet h(t) be a non-decreasing function on I and k(t) an increasing function on J. Then h is s...
AbstractIn this paper we prove some new existence results of nontrivial solutions for classes of ell...
AbstractIn this paper, we consider the higher order difference equationy(k+n)+p1(k)y(k+n-1)+p2(k)y(k...
AbstractIn [Questions Answers Gen. Topology 2 (1984) 2–13], Nagata introduced a new function ∗k(X) f...
In the present paper, a general theorem on ${mid{bar{N},p_n;delta}mid}_k$ summability factors of in...
AbstractLet K be a field of characteristic zero, and let K(x1,…,xn) be a purely transcendental field...
AbstractWe shall weaken the conditions of monotonicity given by Chandra [J. Math. Anal. Appl. 275 (2...
AbstractThe arithmetic–geometric mean inequality for singular values due to Bhatia and Kittaneh says...
AbstractWe give a short proof of Miki's identity for Bernoulli numbers,∑i=2n-2βiβn-i-∑i=2n-2niβiβn-i...
AbstractLet fbe an absolutely continuous function on [0,1] satisfying f′∈Lp[0,1], p>1, Qn-be the set...
AbstractLet A1,…,An be finite subsets of a field F, and letf(x1,…,xn)=x1k+⋯+xnk+g(x1,…,xn)∈F[x1,…,xn...
AbstractThe famous Erdős–Heilbronn conjecture plays an important role in the development of additive...
AbstractThe n-th product level of a skew–field D, psn(D), is a generalization of the n-th level of a...
AbstractLet K={k1,k2,…,kr} and L={l1,l2,…,ls} be subsets of {0,1,…,p−1} such that K∩L=0̸, where p is...
AbstractIn this paper, some new results about the existence of positive solutions for singular semi-...
AbstractLet h(t) be a non-decreasing function on I and k(t) an increasing function on J. Then h is s...
AbstractIn this paper we prove some new existence results of nontrivial solutions for classes of ell...
AbstractIn this paper, we consider the higher order difference equationy(k+n)+p1(k)y(k+n-1)+p2(k)y(k...
AbstractIn [Questions Answers Gen. Topology 2 (1984) 2–13], Nagata introduced a new function ∗k(X) f...
In the present paper, a general theorem on ${mid{bar{N},p_n;delta}mid}_k$ summability factors of in...
AbstractLet K be a field of characteristic zero, and let K(x1,…,xn) be a purely transcendental field...
AbstractWe shall weaken the conditions of monotonicity given by Chandra [J. Math. Anal. Appl. 275 (2...
AbstractThe arithmetic–geometric mean inequality for singular values due to Bhatia and Kittaneh says...
AbstractWe give a short proof of Miki's identity for Bernoulli numbers,∑i=2n-2βiβn-i-∑i=2n-2niβiβn-i...
AbstractLet fbe an absolutely continuous function on [0,1] satisfying f′∈Lp[0,1], p>1, Qn-be the set...
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