Let f(x) = f(x1, . . . , x8) be an octonary cubic form with rational integral coefficients and nonzero discriminant. Then, on the assumption of a certain type of Riemann hypothesis, we showed in the first paper with the above title that the indeterminate equation f(l)=0 has a non-zero solution provided that f(x) conform to the (necessary) condition that it have a non-trivial zero in every p-ad…

We define a new type of Hardy–Orlicz spaces of conformal mappings on the unit disk where in place of the value |f(x)| we consider the intrinsic path distance between f(x) and f(0) in the image domain. We show that if the Orlicz function is doubling then these two spaces are actually the same, and we give an example when the intrinsic Hardy–Orlicz space is strictly smaller.

In this paper, we consider three arithmetic families of isospectral non-isometric Riemannian orbifolds and in each case derive an upper bound for the size of the family which is polynomial as a function of the volume of the orbifolds. The first family that we consider are those constructed by Vign´eras’ method. The second and third families are those whose covering groups are the minimal cov…

We give a short argument why the tensor product semi-norm on K ⊗k L is multiplicative when k is an algebraically closed valued field and K and L are valued extensions (valued in R). When the valuation on k is non-trivial we use the fact that ACVF, the theory of algebraically closed (non-trivially) valued fields, has quantifier elimination.

In 1966, Harry Kesten settled the Erd˝os–Sz¨usz conjecture on the local discrepancy of irrational rotations. His proof made heavy use of continued fractions and Diophantine analysis. In this paper, we give a purely topological proof Kesten’s theorem (and Oren’s generalization of it) using the pattern equivariant cohomology of aperiodic tiling spaces.

In this paper, we determine completely the Lyubeznik numbers λi,j(A) of the local ring A at the vertex of the affine cone over a nonsingular projective variety V, where V is defined over a field of characteristic zero, in terms of the dimensions of the algebraic de Rham cohomology spaces of V . In particular, we prove that these numbers are intrinsic numerical invariants of V , even though…

The specificities of the workforce with a migrant background are often neglected in studies of retirement. Similarly, many studies of migration�s impact on pensions often focus on aggregate outcomes�system sustainability or distributive characteristics. The present article provides a fresh look at the nexus between these two literatures. It discusses the impact of the European social …

Portability of social benefits across professions and countries is an increasing concern for individuals and policy makers. Lacking or incomplete transfers of acquired social rights are feared to negatively impact individual labor market decisions as well as capacity to address social risks with consequences for economic and social outcomes. The paper gives a fresh and provocative look on the i…

Using data from the Standard Eurobarometer survey 75.1 of 2011, the paper tests whether portability of social security within Europe is a key determinant of intra- European Union (EU) mobility. It does so by estimating a multinomial logit model with propensity matching comparing those survey respondents that made the experience of social security transfer in the past (either difficult or ea…

Tahun Terbit

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