document: Dedekind zeta-functions and Dedekind sums In this paper we use Dedekind zeta functions of two real quadratic number fields at -1 to denote Dedekind sums of high rank . Our formula is different from that of Siegel 's -LRB- 1969 -RRB- . As an application , we get a polynomial representation of zeta / sub K / -LRB- -1 -RRB- = zeta / sub K / -LRB- -1 -RRB- = 1/45 -LRB- 26n/sup 3 / - 41n + or - 9 -RRB- , n identical to + or-2 -LRB- mod 5 -RRB- , where K = Q -LRB- square root -LRB- 5q -RRB- -RRB- , prime q = 4n/sup 2 / + 1 , and the class number of quadratic number field K/sub 2 / = Q -LRB- square root q -RRB- is 1
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