We consider L-functions L1,…,Lk from the Selberg class which have polynomial Euler product and satisfy Selberg's orthonormality condition. We show that on every vertical line s=σ+it with σ∈(1/2,1), these L-functions ...

We recount and discuss some of the most important methods and blow-up criteria for analyzing solutions of Keller-Segel chemotaxis models. First, we discuss the results concerning the global existence, boundedness and blow-up ...

We examine an unstudied manuscript of N.~S.~Koshliakov over 150 pages long and containing the theory of two interesting generalizations ?p(s) and ?p(s) of the Riemann zeta function ?(s), which we call \emph{Koshliakov zeta ...

An explicit transformation for the series ∑n=1∞log(n)eny−1, Re(y)>0, which takes y to 1/y, is obtained for the first time. This series transforms into a series containing ψ1(z), the derivative of Deninger's function R(z). ...

In this article, we establish a Lyapunov-type inequality for the following extremal Pucci’s equation: {M+λ,Λ(D2u)+b(x)|Du|+a(x)u=0u=0in Ω,on ∂Ω, where Ω is a smooth bounded domain in RN , N≥2 . This work generalizes ...

Let $\mm=(m_0,m_1,m_2,n)$ 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 the ...

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 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 give a construction of the moduli space of filtered representations of a given quiver of fixed dimension vector with the appropriate notion of stability. The construction of the moduli of filtered ...