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  • Role of density gradients on miscible Rayleigh Taylor fingers in porous media 
    Pramanik, Satyajit; Mishra, Manoranjan (American Institute of Physics, 2021-08)
    We investigate the effect of density gradients on miscible Rayleigh-Taylor fingers in homogeneous porous media using two families of concentration-dependent density profiles: (a) monotonic and (b) nonmonotonic. The first ...
  • 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 ...
  • 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 ...

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