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There has been an avalanche of recent research on multiple zeta values. Wepropose dividing identities for multiple zeta values into structural andspecific types. Structural identities are valid for any generalized multiplezeta function, and we systematically investigate them through symmetricfunctions. Specific identities are only valid for a specific zeta function, andwe show how these can be used in conjunction with structural identities to findclosed form multiple zeta values. This allows us to interpret generalizedmultiple zeta values as the moments of a random variable, which we characterizein certain cases. We also evaluate certain multiple Bessel zeta values andmultiple Hurwitz zeta values.

Structural identities for generalized multiple zeta values