The Sum Formula of Multiple Zeta Values and Connection Problem of the Formal Knizhnik-Zamolodchikov Equation

نویسندگان

  • Jun-ichi OKUDA
  • Kimio UENO
چکیده

The sum formula for multiple zeta values are derived, via the Mellin transform, from the Euler connection formula and the Landen connection formula for polylogarithms. These connection formulas for multiple polylogarithms will be considered in the framework of the theory of the formal Knizhnik-Zamolodchikov equation.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Smirnov ’ s Integrals and Quantum Knizhnik - Zamolodchikov Equation of Level 0

We study the quantum Knizhnik-Zamolodchikov equation of level 0 associated with the spin 1/2 representation of Uq(ŝl2). We find an integral formula for solutions in the case of an arbitrary total spin and |q| < 1. In the formula, different solutions can be obtained by taking different integral kernels with the cycle of integration being fixed. ⋆ A Fellow of the Japan Society for the Promotion o...

متن کامل

The Integral Formula for the Solutions of the Quantum Knizhnik-zamolodchikov Equation Associated with U Q ( C Sl N ) for Jqj = 1

We write the integral formula of Tarasov-Varchenko type for the solutions to the quantum Knizhnik-Zamolodchikov equation associated with a tensor product of the vector representations of sl n . We consider the case where the deformation parameter q satis es jqj = 1. We use the bosonization of the type II vertex operators in order to nd the hypergeometric pairing in this setting.

متن کامل

Quantum Knizhnik-zamolodchikov Equation Associated with U Q (a

We present an integral representation to the quantum Knizhnik-Zamolodchikov equation associated with twisted affine symmetry Uq(A (2) 2 ) for massless regime |q| = 1. Upon specialization, it leads to a cojectural formula for the correlation function of the IzerginKorepin model in massless regime |q| = 1. In a limiting case q → −1, our conjectural formula reproduce the correlation function for t...

متن کامل

Polynomial Solutions of the Knizhnik–zamolodchikov Equations and Schur–weyl Duality

An integral formula for the solutions of Knizhnik-Zamolodchikov (KZ) equation with values in an arbitrary irreducible representation of the symmetric group SN is presented for integer values of the parameter. The corresponding integrals can be computed effectively as certain iterated residues determined by a given Young diagram and give polynomials with integer coefficients. The derivation is b...

متن کامل

Totally Symmetric Self-Complementary Plane Partitions and Quantum Knizhnik-Zamolodchikov equation: a conjecture

We present a new conjecture relating the minimal polynomial solution of the level-one U q (sl(2)) quantum Knizhnik-Zamolodchikov equation for generic values of q in the link pattern basis and some q-enumeration of Totally Symmetric Self-Complementary Plane Partitions.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004