↓
Skip to primary content
Skip to secondary content
  • LOGS
  • Physmatics
    • Lists
    • Interstellar/intergalactic Physmatics
    • Units, natural units and metrology
    • Gravitational theories
      • Entropic gravity/force
    • Zeta Zoology and polystuff
    • Extra dimensions
    • Relativity
      • General Relativity
      • Cosmology
      • Extended Relativity
    • Information theory
      • Non-extensive entropy and Superstatistics
    • Quantum
      • QFT
      • SM
        • SM: Basics
    • Mathematics
      • Algebra
        • Group Theory: basics
      • Calculus
      • Geometry
      • Number theory
      • (Multi)Fractals
      • Statistics
      • q-objects
    • Chemistry
    • Neutrinology
      • Basic Neutrinology
    • H.E.P.
    • Science
  • Teaching
    • 2ESOTheYoungPreTochoVjuly2021
      • 2ESOPreTochoT-1Vjuly2021
      • BasicsForPhysics&Chemistry2ESO
      • 2ESOpretochoT0vjuly2021
      • 2ESOTema1Vjuly2021
      • 2ESOTema2tcmVjuly2021
      • 2ESOTema3vJuly2021
      • 2ESOTema4vJuly2021
      • 2ESOTema5vJuly2021
    • 3ESO
      • 3ESOTocho
      • 3ESOTema0
      • 3ESOTema1
      • 3ESOTema2
      • 3ESOTema3
      • 3ESOTema4
      • 3ESOTema5
      • 3ESOTema6chemrev
    • 4ESO
      • 4ESOTocho
        • 4ESOchemformulaetochito
        • 4ESOphysformulaetochito
        • FormularioCin4ESO
        • 4ESOPhysSumFinal
    • 1BACH
      • 1BachFyQThoscheiBabyTocho
    • 2BACH
      • ElectroHeat
      • 2BachOldTochoPhysics
      • 2BachNewTeenTochoPhysics
        • 2BachP0tools
        • 2BachP1fields
        • 2BachP2waves
        • 2BachP3Optics
        • 2BachP4modernphysics
        • 2BachP5ElementarYParticles
        • 2BachP6ThermologyElectronics
        • 2bachPhysicsFormulae
      • 2BachChemTochito
      • 1+2BachTheMechUniverseNotes
    • MATHpure&applied
    • CHEMpure
      • CHEMoldtochoChapters
    • Exercises and more!
    • University
  • TeachSlides
    • Tabla Periódica y más allá
    • ESOlevelSlides
      • CosmicNumbers:talk
      • HerramientasESOBach
      • La materia
      • El átomo
      • Reacciones químicas
      • Física
      • Limits
    • BachLevelSlides
      • CosmicNumbers:talk
      • HerramientasESOBach
      • Modelo de Bohr y más allá
      • 2BachFiSslides
  • Research
    • Talks
      • MasterDoctorSlides
        • VectorProductTalk
        • Glueballs
        • XtraDimensionsTalk
        • MasterThesisTalk
        • CSpaceRelativityTalk
        • ERBeyond
        • Extragalactic neutrinos
        • SETI: What and how?
        • Teaching Physics with Physmatics
      • SpecialTalks
        • MujeresEnCiencia
        • CosmicNumbers:talk
        • PhiloScience
        • CosmoVisions
        • El Multiverso
    • Papers
  • SCIENCE CONSULTANCY
  • SHOP
  • DONATE
  • Φ ι
  • About ∂³Σx²
    • UR
    • MyPrinciples
    • NASA
    • ESA
    • CERN
  • WebLinks
  • X-library

The Spectrum Of Riemannium

Mobilis in mobili: Physmatics Chronicles!

The Spectrum Of Riemannium
Home→Tags pentagon identity

Tag Archives: pentagon identity

LOG#162. Polylogia flashes(IV).

Posted on 2015/04/03 by amarashikiMay 5, 2015
Reply

In this final post (by the moment) in the polylogia series we will write some additional formulae for polylogs and associated series. Firstly, we have (1)   and now, if (2)   (3)   The next identity also holds   … Continue reading →

Share this:

  • Twitter
  • Facebook
  • LinkedIn
  • Tumblr
  • Pocket
  • Pinterest
  • Reddit
  • Email
  • Print

Like this:

Like Loading...
Posted in Mathematics, Number theory, Physmatics, Zeta Zoology and polystuff | Tagged Abel identity, characteristic, characteristic zero, discrete Fourier transform, Don Zagier, duplication identity, duplication theorem, Euler's dilogarithm, Euler's reflection formula, Fourier transform, Gauss, golden mean, golden mean ration, Hurwitz zeta function, Kummer's identity for duplication, Landen's identity, multiplication theorem, negative golden mean ration, pentagon identity, periodic zeta functions, polylog ladders, Polylogarithm, polylogarithmic functions, polylogs, Spence's function | Leave a reply
© 2023 - The Spectrum Of Riemannium Proudly powered by WordPress  Weaver II by WP Weaver
↑
1 visitors online now
1 guests, 0 members
Max visitors today: 4 at 12:18 am UTC
This month: 37 at 03-09-2023 03:28 am UTC
This year: 76 at 01-16-2023 08:05 pm UTC
All time: 177 at 11-13-2019 10:44 am UTC
 

Loading Comments...
 

    %d bloggers like this: