Harmonic sums and their generalizations are extremely useful in the evaluation of higher-order perturbative corrections in quantum field theory. Of particular interest have been the so-called nested sums,where the harmonic sums and their generalizations appear as building blocks, originating for example from the expansion of generalized hypergeometric functions around integer values of the parameters. In this Letter we discuss the implementation of several algorithms to solve these sums by algebraic means, using the computer algebra system Form
In these introductory lectures we discuss classes of presently known nested sums, associated iterate...
In these introductory lectures we discuss classes of presently known nested sums, associated iterate...
AbstractWe present a method for calculating any (nested) harmonic sum to arbitrary accuracy for all ...
Harmonic sums and their generalizations are extremely useful in the evaluation of higher-order pertu...
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969...
This work deals with special nested objects arising in massive higher order perturbative calculation...
In this article we present a refined summation theory based on Karr’s difference field approach. The...
We consider a class of sums over products of Z-sums whose arguments differ by a symbolic integer. Su...
AbstractIn this article we present a refined summation theory based on Karr’s difference field appro...
The book focuses on advanced computer algebra methods and special functions that have striking appli...
We consider a class of sums over products of Z-sums whose arguments differ by a symbolic integer. Su...
I consider the expansion of transcendental functions in a small parameter around rational numbers. T...
In recent years, the problem of symbolic summation has received much attention due to the exciting a...
In recent three–loop calculations of massive Feynman integrals within Quantum Chromody-namics (QCD) ...
This paper describes algorithms to deal with nested symbolic sums over combinations of harmonic seri...
In these introductory lectures we discuss classes of presently known nested sums, associated iterate...
In these introductory lectures we discuss classes of presently known nested sums, associated iterate...
AbstractWe present a method for calculating any (nested) harmonic sum to arbitrary accuracy for all ...
Harmonic sums and their generalizations are extremely useful in the evaluation of higher-order pertu...
This program has been imported from the CPC Program Library held at Queen's University Belfast (1969...
This work deals with special nested objects arising in massive higher order perturbative calculation...
In this article we present a refined summation theory based on Karr’s difference field approach. The...
We consider a class of sums over products of Z-sums whose arguments differ by a symbolic integer. Su...
AbstractIn this article we present a refined summation theory based on Karr’s difference field appro...
The book focuses on advanced computer algebra methods and special functions that have striking appli...
We consider a class of sums over products of Z-sums whose arguments differ by a symbolic integer. Su...
I consider the expansion of transcendental functions in a small parameter around rational numbers. T...
In recent years, the problem of symbolic summation has received much attention due to the exciting a...
In recent three–loop calculations of massive Feynman integrals within Quantum Chromody-namics (QCD) ...
This paper describes algorithms to deal with nested symbolic sums over combinations of harmonic seri...
In these introductory lectures we discuss classes of presently known nested sums, associated iterate...
In these introductory lectures we discuss classes of presently known nested sums, associated iterate...
AbstractWe present a method for calculating any (nested) harmonic sum to arbitrary accuracy for all ...