Visible Point Partition Identities for Polylogarithms, and Parametric Euler Sums

Autor:	Campbell, Geoffrey B.
Rok vydání:	2023
Předmět:	Mathematics - Combinatorics 05A15 05E40 11Y11 11P21 G.1 G.1.0
Druh dokumentu:	Working Paper
Popis:	We set the scene with known values and functional relations for dilogarithms, trilogarithms and polylogarithms of various orders, along with more recent Euler sum values and multidimensional computations paying homage to the three late Professors Borwein \textit{et al.}. We then apply many of these sum values to tabulate some sixty new combinatorial identities for weighted partitions into Visible Point Vectors in 2D, 3D, 4D and 5D cases suggesting new $n$D first hyperquadrant and hyperpyramid lattice point identities. Comment: 27 pages, 1 figure, 2 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2306.02241 Zobrazit plný text záznamu View this record from Arxiv