โ Scribed by Ken Umeno; Masuo Suzuki
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper describes the theory of the Igusa local zeta function associated with a polynomial f (x) with coefficients in a p-adic local field K. Results are given in two cases where f (x) is the determinant of a Hermitian matrix of degree m with coefficients in: (1) a ramified quadratic extension of
Presented in a continuous extension of a measure used by Sol Golomb to define a probability on the sample space of natural numbers. The extension is a probability measure which holds several characteristic in common with Golomb's measure but on the set \((1, \infty)\). I have proven a theorem which
The number of spanning trees in a finite graph is first expressed as the derivative (at 1) of a determinant and then in terms of a zeta function. This generalizes a result of Hashimoto to non-regular graphs. ## 1998 Academic Press Let G be a finite graph. The complexity of G, denoted }, is the num