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Finally, we give an example to show how the generalized zeta function can be applied to graphs to distinguish non-isomorphic graphs with the same Ihara-Selberg zeta

The inclusion of the cell shedding mechanism leads to modification of the boundary conditions employed in the model of Ward and King (199910) and it will be

In this paper we develop a general decomposition theory (Section 5) for submonoids and subgroups of rings under ◦, in terms of semidirect, reverse semidirect and general

We list in Table 1 examples of elliptic curves with minimal discriminant achieving growth to each possible torsion group over Q

Answering a question of de la Harpe and Bridson in the Kourovka Notebook, we build the explicit embeddings of the additive group of rational numbers Q in a finitely generated group

Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A

In our previous paper [Ban1], we explicitly calculated the p-adic polylogarithm sheaf on the projective line minus three points, and calculated its specializa- tions to the d-th

Our method of proof can also be used to recover the rational homotopy of L K(2) S 0 as well as the chromatic splitting conjecture at primes p > 3 [16]; we only need to use the