Recently added

E-print Articles: Recent submissions

  • A note on approximation in tensor chain format 
    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 ...
  • Counting twisted tame Fourier-Mukai partners of an ordinary K3 surface 
    Srivastava, Tanya Kaushal; Tirabassi, Sofia (2021-09)
    In this article, we prove that a tame twisted K3 surface over an algebraically closed field of positive characteristic has only finitely many tame twisted Fourier-Mukai partners and we give a counting formula in case we ...
  • A class of identities associated with Dirichlet series satisfying Hecke's functional equation 
    Berndt, Bruce C.; Dixit, Atul; Gupta, Rajat; Zaharescu, Alexandru (Cornell University Library, 2021-08)
    We consider two sequences a(n) and b(n), 1≤n<∞, generated by Dirichlet series of the forms ∑n=1∞a(n)λsnand∑n=1∞b(n)μsn, satisfying a familiar functional equation involving the gamma function Γ(s). A general identity is ...
  • Koshliakov zeta functions I: modular relations 
    Dixit, Atul; Gupta, Rajat (Cornell University Library, 2021-08)
    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 ...
  • Number field analogue of divisor function a la Koshliakov 
    Banerjee, Soumyarup; Kumar, Rahul (Cornell University Library, 2021-06)
    In this article, we study a divisor function in an arbitrary number field akin to Koshliakov's work on Vorono\"{\dotlessi} summation formula. More precisely, we generalize Koshliakov's kernel and Koshliakov's transform ...
  • Extended higher Herglotz functions I. functional equations 
    Dixit, Atul; Gupta, Rajat; Kumar, Rahul (Cornell University Library, 2021-07)
    In 1975, Don Zagier obtained a new version of the Kronecker limit formula for a real quadratic field which involved an interesting function F(x) which is now known as the \emph{Herglotz function}. As demonstrated by Zagier, ...
  • Finiteness theorems for universal sums of squares of almost primes 
    Banerjee, Soumyarup; Kane, Ben (Cornell University Library, 2021-06)
    In this paper we study quadratic forms which are universal when restricted to almost prime inputs, establishing finiteness theorems akin to the Conway- Schneeberger 15 theorem.
  • On a certain divisor function in Number fields 
    Gupta, Rajat; Pandit, Sudip (Cornell University Library, 2021-06)
    The main aim of this paper is to study an analogue of the generalized divisor function in a number field K, namely, ?K,?(n). The Dirichlet series associated to this function is ?K(s)?K(s ??). We give an expression for the ...
  • Cohen-Macaulay weighted oriented edge ideals and its alexander dual 
    Saha, Kamalesh; Sengupta, Indranath (Cornell University Library, 2022-03)
    The study of the edge ideal I(DG) of a weighted oriented graph DG with underlying graph G started in the context of Reed-Muller type codes. We generalize a Cohen-Macaulay construction for I(DG), which Villarreal gave for ...
  • On d-holomorphic connections 
    Amrutiya, Sanjay; Jaiswal, Ayush (Cornell University Library, 2022-08)
    We develop the theory of d-holomorphic connections on d-holomorphic vector bundles over a Klein surface by constructing the analogous Atiyah exact sequence for d-holomorphic bundles. We also give a criterion for the existence ...

Search Digital Repository


Browse

My Account