This is Part II of the paper “A question of Keating and Rudnick about primitive Dirichlet characters with squarefree conductor” [Ka-QKRPD]. Here we prove two independence results for tuples of character sums, either formed with a variable character and its powers, or formed with two characters and their product.

Let X be a topological space and G be a subgroup of the group H(X) of all auto-homeomorphisms of X. The pair (X,G) is then called a space-group pair. Let K be a class of space-group pairs. K is called a faithfull class if for every (X,G), (Y,H) ∈ K and an isomorphism φ between the groups G and H there is a homeomorphism τ between X and Y such that φ(g) = τ ◦g ◦ τ for every g ∈ G. The first impo...

In Urama there are two clause-final particles, ka and ra, that encode a variety of both semantic and pragmatic meanings. While previous approaches have treated these particles as clause-type markers or evidential morphemes, this paper argues that one of these particles, ka, has another previously undocumented function in conversation: to mark speaker-knowledge and what the speaker assumes the a...

Wave scattering by many (M = M(a)) small bodies, at the boundary of which transmission boundary conditions are imposed, is studied. Smallness of the bodies means that ka << 1, where a is the characteristic dimension of the body and k = 2π λ is the wave number in the medium in which small bodies are embedded. Explicit asymptotic formulas are derived for the field scattered by a single small scat...

The inverse eigenvalue problem of constructing symmetric positive semidefinite matrixD written as D ≥ 0 and real-valued skew-symmetric matrix G i.e., G −G of order n for the quadratic pencilQ λ : λMa λ D G Ka, whereMa > 0,Ka ≥ 0 are given analytical mass and stiffness matrices, so that Q λ has a prescribed subset of eigenvalues and eigenvectors, is considered. Necessary and sufficient condition...

[1] A technique for the estimation of total liquid water content (LWC; the sum of cloud water and rainwater contents) using simultaneous S and Ka band scanning radar observations is proposed and tested using the National Center for Atmospheric Research simultaneous S band and Ka band dual‐polarimetric (S‐PolKa) radar system. The sources of error for this wavelength pair are evaluated, and the m...

A sequenceWH-ka has another use: it may be accompanied by a host NP marked by nominativeor accusativemarkers, while occupying a post-nominal position, as in (2a), or a distant position, as in (2b). In these cases, a WH word should semantically agree with the host NP: in (2a,b), the host NP, nomiono (‘drink’), requires a WH word nani (‘what’) specified for [-human] feature rather than [+human] d...

Let G be a nontrivial connected graph of order n, and k an integer with 2 ≤ k ≤ n. For a set S of k vertices of G, let κ(S) denote the maximum number l of edge-disjoint trees T1, T2, . . . , Tl in G such that V (Ti) ∩ V (Tj) = S for every pair i, j of distinct integers with 1 ≤ i, j ≤ l. Chartrand et al. generalized the concept of connectivity as follows: The k-connectivity, denoted by κk(G), o...

Baldwin Peninsula, northwest Alaska, is a middle Pleistocene push-moraine complex composed of marine, fluvial, and glaciogenic sediments. The peninsula was formed by three ice lobes emanating from the De Long and Baird mountains and the Selawik Lowlands in the southwest Brooks Range during the Anaktuvuk River glaciation . This glaciation was nearly an order of magnitude more areally extensive t...