Let m = (m0, m1, m2, n) be an almost arithmetic sequence, i.e., a sequence of positive integers with gcd(m0, m1, m2, n) = 1, such that m0 < m1 < m2 form an arithmetic progression, n is arbitrary and they minimally generate ...

We give a number field analogue of a result of Ramanujan, Hardyand Littlewood,thereby obtaining a modular relation involving the non-trivial zeros of the Dedekind zeta function.We also provide a Riesz-type criterion for ...

We extend Álvarez-Cónsul and King description of moduli of sheaves over projective schemes to moduli of equivariant sheaves over projective Γ-schemes, for a finite group Γ. We introduce the notion of Kronecker–McKay modules ...

In this paper we revisit the family of algebroid space curves defined by Moh and find an explicit minimal generating set for the defining ideal.

In this article, we prove the existence of multiple weak solutions to N-Laplace equation -δNu - μ g(x) ( x log R x )N u N-2u = γf(x; u) in ω. u = 0 on ω using Bonanno's three critical point theorem.

The purpose of this note is to show a generalization to Picone’s identity in a nonlinear framework. The classical Picone’s identity turns out to be a particular case of our result. We show, as an application of our results, ...

We establish the existence of nonnegative weak solutions to time fractional Keller�Segel system with Dirichlet boundary condition in a bounded domain with smooth boundary. Since the considered system has a cross?diffusion ...

In this note, we prove that theF-fundamental group schemeis a birational invariant for smooth projective varieties. We prove that theF-fundamental group scheme is naturally a quotient of the Nori fundamentalgroup scheme. ...

In this note, we establish Leighton's variational lemma for fractional Laplace equations. We use the classical techniques to establish this variational lemma. We also point out several questions concerning the zeros of the ...

In this note, we prove a stability theorem for a class of quasilinear elliptic equations -δp u = a(x)u-f(x,u) in Ω, u=0 on δΩ, where δp u= div(/∇uu/ p-2∇u) 2 ≤ p < p < ∞ ,Ω ⊂ &RdblN is an open, smooth and bounded subset. ...