Cyclic q-MZSV sum

CYCLIC q-MZSV SUM

We present a family of identities ‘cyclic sum formula’ and ‘sum formula’ for a version of multiple q-zeta star values. We also discuss a problem of q-generalization of shuffle products. Introduction and notation The classical idea of introducing an additional parameter to an expression or formula we wish to deal with, is quite fruitful in many situations. This may simplify a proof of the corres...

Q-dependence of Deep Inelastic Sum Rules*

In this talk, I will concentrate on Q2-dependence of deep inelastic sum rules. I will first give a modern definition of deep-inelastic sum rules and then discuss physical origins of their scaling violation at finiteQ2. Following this, I discuss a few well-known examples, in particular, the Bjorken sum rule, which is at the center of interest of this symposium. Finally, I consider the Q2 → 0 lim...

SUM OF MULTIPLE q-ZETA VALUES

The generating function of the sums of multiple q-zeta values with fixed weights, depths and 1-heights, 2-heights, . . . , r-heights is represented in terms of specializations of basic hypergeometric functions.

Bjorken Sum Rule at low Q 2

A description of the generalized Gerasimov-Drell-Hearn sum rules for proton and neutron is suggested, using their relation to the Bjorken sum rule. The results support an earlier conjecture, that the structure function gT features a smooth Q−dependence, while the structure function g2 is changing rapidly, due to the elastic contribution to the Burkhardt-Cottingham sum rule. A possible violation...

The cyclic q - clans with q F 2