human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "summation theory ii characterizations of boldsymbol r pi sigma extensions and algorithmic aspects"):
  Abstract: Recently, $R\Pi\Sigma^*$-extensions have been introduced which extend Karr's $\Pi\Sigma^*$-fields substantially: one can represent expressions not only in terms of transcendental sums and products, but one can work also with products over primitive roots of unity. Since one can solve the parameterized telescoping problem in such rings, covering as special cases the summation paradigms of telescoping and creative telescoping, one obtains a rather flexible toolbox for symbolic summation. This article is the continuation of this work. Inspired by Singer's Galois theory of difference equations we will work out several alternative characterizations of $R\Pi\Sigma^*$-extensions: adjoining naively sums and products leads to an $R\Pi\Sigma^*$-extension iff the obtained difference ring is simple iff the ring can be embedded into the ring of sequences iff the ring can be given by the interlacing of $\Pi\Sigma^*$-extensions. From the viewpoint of applications this leads to a fully automatic machinery to represent indefinite nested sums and products in such $R\Pi\Sigma^*$-rings. In addition, we work out how the parameterized telescoping paradigm can be used to prove algebraic independence of indefinite nested sums. Furthermore, one obtains an alternative reduction tactic to solve the parameterized telescoping problem in basic $R\Pi\Sigma^*$-extensions exploiting the interlacing property.

Includes members:
  Member "algebraic independence of cyclotomic harmonic sums":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "algorithms to solve coupled systems of differential equations in terms of power series")
  Member "a difference ring theory for symbolic summation":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a refined machinery to calculate large moments from coupled systems of linear differential equations")
  Member "a streamlined difference ring theory indefinite nested sums the alternating sign and the parameterized telescoping problem":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "towards a symbolic summation theory for unspecified sequences")
  Member "simplifying multiple sums in difference fields":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a refined machinery to calculate large moments from coupled systems of linear differential equations")
  Member "creative telescoping for holonomic functions":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "minimal representations and algebraic relations for single nested products")
  Member "fast algorithms for refined parameterized telescoping in difference fields":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "a refined machinery to calculate large moments from coupled systems of linear differential equations")
  Member "order degree curves for hypergeometric creative telescoping":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "efficient rational creative telescoping")
  Member "on the existence of telescopers for mixed hypergeometric terms":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "on the existence of telescopers for rational functions in three variables")

Question: Please tell me which class the source paper belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.SC(Symbolic Computation)