24 citations · 120 across the 13 of their papers we have counts for
13 papers
High precision computation and a new asymptotic formula for the generalized Stieltjes constants
Sandeep Tyagi
We provide an efficient method to evaluate the generalized Stieltjes constants numerically to arbitrary accuracy for large and values. The method uses an i…
Double Exponential method for Riemann Zeta, Lerch and Dirichlet L-functions
Sandeep Tyagi
We provide efficient methods to evaluate the Riemann zeta, the Lerch zeta and the Dirichlet -functions. The method uses the Riemann-Siegel (RS) type formulas and a modified doub…
Quantum algorithms for exponential sums and the evaluation of the Riemann zeta function
Sandeep Tyagi
We give quantum algorithms for estimating weighted exponential sums , with , , and exponentially l…
A new integral representation for the Riemann Zeta function
Sandeep Tyagi, Christian Holm
A new integral representation for the Riemann zeta function is derived. This representation covers the important region of the complex plane where the real part of the argument of…
Evaluation of Coulomb potential in a triclinic cell with periodic boundary conditions
Sandeep Tyagi
Lekner and Sperb's work on the evaluation of Coulomb energy and forces under periodic boundary conditions is generalized that makes it possible to use a triclinic unit cell in simu…
Rapid evaluation of the periodic Green's function in d dimensions
Sandeep Tyagi
A method is given to obtain the Green's function for the Poisson equation in any arbitrary integer dimension under periodic boundary conditions. We obtain recursion relations which…