A combinatorial identity with applications to representation theory
نویسندگان
چکیده
منابع مشابه
A Combinatorial Identity and Applications
An identity for the finite sum ∑N 1 z qn−r is given. Related sums (or series) were studied by Scherk, Clausen, Ramanujan, Shanks, Andrews, and others. We use such identity to give new formulas for ∑∞ 1 z qn−r , the Riemann zeta function and the Euler–Mascheroni constant. An irrationality result is also proved.
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1973
ISSN: 0019-2082
DOI: 10.1215/ijm/1256051604