Berndt, Bruce C..; Dixit, Atul; Kim, Sun; Zaharescu, Alexandru(American Mathematical Society, 2017-04)
Let $ r_k(n)$ denote the number of representations of the positive integer $ n$ as the sum of $ k$ squares. In 1934, the Russian mathematician A. I. Popov stated, but did not rigorously prove, a beautiful series transformation ...
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 ...
We give character analogues of a generalization of a result due to Ramanujan, Hardy and Littlewood, and provide Riesz-type criteria for Riemann Hypotheses for the Riemann zeta function and Dirichlet L-functions. We also ...
Dwivedi, Gaurav; Tyagi, Jagmohan(Springer Berlin Heidelberg, 2015-07)
In this note, we establish a Caccioppoli-type inequality for
biharmonic operators. We employ Picone’s identity for biharmonic operators
to establish Caccioppoli-type inequality.
Kour, Surjeet; Vishakha(Cornell University Library, 2015-05)
Let G=H×A be a finite group, where H is a purely non-abelian subgroup of G and A is a non-trivial abelian factor of G. Then, for n≥2, we show that there exists an isomorphism ϕ:Autγn(G)Z(G)(G)→Autγn(H)Z(H)(H) such that ...
Dwivedi, Gaurav(Cornell University Library, 2015-03)
In this article we prove the nonlinear analogue of Picone's identity for p−biharmonic operator. As an application of our result we show that the Morse index of the zero solution to a p−biharmonic boundary value problem is ...
Roy, Achintya Kumar; Sengupta, Indranath; Tripathi, Gaurab(Cornell University Library, 2015-03)
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 ...
Shah, Shridhar K.; Tanner, Herbert G.; Pahlajani, Chetan D.(IEEE, 2015-01)
This brief presents a framework for input-optimal navigation under state constraints for vehicles exhibiting stochastic behavior. The resulting stochastic control law is implementable in real time on vehicles with limited ...
This paper develops a framework for analyzing the performance loss in fixed time interval decision algorithms that are based on observations of time-inhomogeneous Poisson processes, when some parameters characterizing the ...
A collection of static and mobile radiation sensors is tasked with deciding, within a fixed time interval, whether a moving target carries radioactive material. Formally, this is a problem of detecting weak time-inhomogeneous ...
In this paper, we consider a particular class of variational relation problem namely linear variational relation problem wherein the sets are defined by linear inequalities. The purpose is to study the existence of the ...
In this note, we discuss an eigenvalue problem involving Hardy's potential with homogeneous Dirichlet boundary condition in a smooth bounded domain. We show that the problem possesses a continuous family of eigenvalues.
Espig, Mike; Naraparaju, Kishore Kumar; Schneider, Jan(Max Planck Institute for Mathematics in the Sciences, 2012)
This paper deals with the approximation of d-dimensional tensors, as discrete representations of arbitrary functions f(x1; : : : ; xd) on [0;1]d, in the so-called Tensor Chain format. The main goal of this paper is to ...
In this paper we study the existence of solutions to the following semilinear elliptic problem TeX where TeX is an open bounded subset of TeX and TeX The special feature of this problem is that it has singularity at the ...