WebThe dilogarithm function (sometimes called Euler’s dilogarithm function) is a special case of the polylogarithm that can be traced back to the works of Leonhard Euler. The function re … WebZeta Functions and Polylogarithms PolyLog [ nu, z] Identities. Recurrence identities. General cases. Involving two polyilogarithms. Involving several polylogarithms.

Limiting Values and Functional and Difference Equations

WebThe polylogarithm , also known as the Jonquière's function, is the function. (1) defined in the complex plane over the open unit disk. Its definition on the whole complex plane then … WebThere's a GPL'd C library, ANANT - Algorithms in Analytic Number Theory by Linas Vepstas, which includes multiprecision implementation of the polylogarithm, building on GMP. … phonepe login for pc

Polylogarithm: Integral representations - Wolfram

WebIn mathematics, the complete Fermi–Dirac integral, named after Enrico Fermi and Paul Dirac, for an index j is defined by = (+) +, (>)This equals + ⁡ (), where ⁡ is the polylogarithm.. Its … Webtween multiple polylogarithm values at Nth roots of unity, Racinet attached to each finite cyclic group G of order N and each group embedding ι : G → C×, a Q-scheme DMRι which associates to each commutative Q-algebra k, a set DMRι(k) that can be decomposed as a disjoint union of sets DMRι λ(k) with λ ∈ k. He also exhibited a Q- WebWe associate to a multiple polylogarithm a holomorphic 1-form on the universal abelian cover of its domain. We relate the 1-forms to the symbol and variation matrix and show that the 1-forms naturally define a lift of … how do you spell timed