10 citations · 14 across the 11 of their papers we have counts for
11 papers
Scaling GRPC Tensorflow on 512 nodes of Cori Supercomputer
Amrita Mathuriya, Thorsten Kurth, Vivek Rane +5
We explore scaling of the standard distributed Tensorflow with GRPC primitives on up to 512 Intel Xeon Phi (KNL) nodes of Cori supercomputer with synchronous stochastic gradient de…
Precise Definition And Analyticity of r-th order partial derivative of zeta(s,alpha)
Vivek V. Rane
S.Ramanujan[1] was aware of power series expression in alpha of zeta(s,1-alpha)for complex s and for 0<=alpha<1,which he did not explore very far.Author[2] had derived power series…
Zeta2(s1,s2),Zeta3(s1,s2,s3):Integral Expressions and Approximates
V. V. Rane
For the multiple zeta function zeta2(s1,s2) of two variables,we obtain its integral representation(involving product of Hurwitz zeta functions) over the interval [1,infinity),with…
Functional Equations of Tornheim Zeta Function and the alpha-calculus of r-th order derivative of Zeta(s,alpha)
Vivek V. Rane
For the Tornheim double zeta function T(s1,s2,s3) of complex variables,we obtain its functional equations,which are new.Using the calculus of r-th order derivative of zeta(s,alpha)…
Instant Multiple Zeta Values at Non-Positive Integers and Bernoulli Functions
Vivek V. Rane
We give an instant evaluation of multiple Zeta function at non-positive integers by elementary methods and discuss the Fourier theory (on unit interval) of the product of Bernoulli…
Demystification of Taylor,Laurent coefficients of Lerch,Hurwitz Zeta functions and Dirichlet L-Function at Unity and Zero and their Bounds
Vivek V. Rane
Using elementary methods,we obtain simple,explicit expressions and bounds of higher order derivatives of Hurwitz zeta function and consequently those of Dirichlet L-function and al…