In many other cases we were not able to obtain a formula for the Euler sum constant explicitly in terms of values of the Riemann zeta, logarithm and polylogarithm functions, but we were able to obtain relations involving two or more Euler sum constants of the same degree (where by ``degree'' we mean m + n, where m and n are the indices of the constant). Some of these relations are shown in Table 3. This is not a complete list; we have obtained numerous other relations of this type. The ``confidence level'' of each of these relations is smaller than . The uniqueness of each of these relations was checked by repeating the run with one fewer constant input to PSLQ (there should be no relation detected when this is done).
Annotation Form Interface

          Your name: 
     E-Mail address: 
 Annotation Subject: 
        Related URL: