AbstractWe present a method for calculating any (nested) harmonic sum to arbitrary accuracy for all complex values of the argument. The method utilizes the relation between harmonic sums and (derivatives of) Hurwitz zeta functions, which allows a harmonic sum to be calculated as an expansion valid for large values of its argument. A program for implementing this method is also provided
The harmonic series diverges. But if we delete from the harmonic series all terms whose denominators...
This survey presents a unified and essentially self-contained approach to the asymptotic analysis of...
We present a method to sum Borel- and Gevrey-summable asymptotic series by matching the series to be...
AbstractWe present a method for calculating any (nested) harmonic sum to arbitrary accuracy for all ...
We present a simple algebraic method for the analytic continuation of harmonic sums with integer rea...
This paper describes algorithms to deal with nested symbolic sums over combinations of harmonic seri...
AbstractA simple class of algorithms for the efficient computation of the Hurwitz zeta and related s...
We present for numerical use the analytic continuations to complex arguments of those basic Mellin t...
The finite and infinite harmonic sums form the general basis for the Mellin transforms of all indivi...
In recent three–loop calculations of massive Feynman integrals within Quantum Chromody-namics (QCD) ...
In this note, we extend a result of Sofo and Hassani concerning the evaluation of a certain type of ...
AbstractAfter having recalled some important results about combinatorics on words, like the existenc...
Harmonic sums and their generalizations are extremely useful in the evaluation of higher-order pertu...
There have been derivations for the Sums of Powers published since the sixteenth century. All techni...
In this paper, we introduce an explicit expanded series for multiple zeta values. The series is rapi...
The harmonic series diverges. But if we delete from the harmonic series all terms whose denominators...
This survey presents a unified and essentially self-contained approach to the asymptotic analysis of...
We present a method to sum Borel- and Gevrey-summable asymptotic series by matching the series to be...
AbstractWe present a method for calculating any (nested) harmonic sum to arbitrary accuracy for all ...
We present a simple algebraic method for the analytic continuation of harmonic sums with integer rea...
This paper describes algorithms to deal with nested symbolic sums over combinations of harmonic seri...
AbstractA simple class of algorithms for the efficient computation of the Hurwitz zeta and related s...
We present for numerical use the analytic continuations to complex arguments of those basic Mellin t...
The finite and infinite harmonic sums form the general basis for the Mellin transforms of all indivi...
In recent three–loop calculations of massive Feynman integrals within Quantum Chromody-namics (QCD) ...
In this note, we extend a result of Sofo and Hassani concerning the evaluation of a certain type of ...
AbstractAfter having recalled some important results about combinatorics on words, like the existenc...
Harmonic sums and their generalizations are extremely useful in the evaluation of higher-order pertu...
There have been derivations for the Sums of Powers published since the sixteenth century. All techni...
In this paper, we introduce an explicit expanded series for multiple zeta values. The series is rapi...
The harmonic series diverges. But if we delete from the harmonic series all terms whose denominators...
This survey presents a unified and essentially self-contained approach to the asymptotic analysis of...
We present a method to sum Borel- and Gevrey-summable asymptotic series by matching the series to be...
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