arXiv Open Access 2009

A Symbolic Summation Approach to Find Optimal Nested Sum Representations

Carsten Schneider

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Abstrak

We consider the following problem: Given a nested sum expression, find a sum representation such that the nested depth is minimal. We obtain a symbolic summation framework that solves this problem for sums defined, e.g., over hypergeometric, $q$-hypergeometric or mixed hypergeometric expressions. Recently, our methods have found applications in quantum field theory.

Topik & Kata Kunci

cs.SC math.CO math.NT

Penulis (1)

Carsten Schneider

Format Sitasi

APA MLA BibTeX

Schneider, C. (2009). A Symbolic Summation Approach to Find Optimal Nested Sum Representations. https://arxiv.org/abs/0904.2323

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Informasi Jurnal

Tahun Terbit: 2009
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓