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An analogue of Wilton's formula and special values of Dedekind zeta functions. (arXiv:1611.08693v2 [math.NT] UPDATED)
来源于:arXiv
J. R. Wilton obtained a formula for the product of two Riemann zeta
functions. This formula played a crucial role to find an approximate functional
equation for the product of two Riemann zeta functions in the critical region.
We find an analogous formula for the product of two Dedekind zeta functions and
then use this formula to find the values of Dedekind zeta function attached to
an arbitrary imaginary quadratic field at any positive integer. We finally
compute some values of Dedekind zeta functions attached to certain imaginary
quadratic fields. 查看全文>>