content_image/333266.jpg content_image/333267.jpg content_image/333268.jpg
where g ( x, t ) and e $^{g}$( x, t ) stands for the t -dependent gluon distributions in the nucleon ( xe $^{g}$( x, t ) ≡ E $^{g}$( x, ξ = 0 , t )). Employing the general results (23), (25) one can check that for odd N : 

<img src='content_image/333266.jpg'>

Inverting the Mellin moments in (35) we express the forward like functions G ( E,M ) 0 related to the t -dependent gluon distributions 

<img src='content_image/333267.jpg'>

The normalization is 

<img src='content_image/333268.jpg'>

Thus the information on the fraction of nucleon total angular momentum carried by gluons is encoded in the magnetic forward like function G ( M ) 0 . 

## Small ξ expansion 

It is helpful to consider the expansion of electric and magnetic combinations of nucleon gluon GPDs in powers of ξ around ξ = 0 for fixed x ( x > ξ ). For the electric combination 

