For the Epstein zeta function of an n-ary positive definite quadratic form, n - 1 generalizations of the Selberg-Chowla formula (for the binary case) are obtained. Further, it is shown that these n - ...

A new set of modified Legendre rational functions which are mutually orthogonal in L2(0, + ∞) is introduced. Various projection and interpolation results using the modified Legendre rational functions ...