A quantitative finite-dimensional krivine theoremSpringer Science and Business Media LLC - Tập 50 - Trang 1-12 - 1985
D. Amir, V. D. Milman
Measure concentration arguments are applied to get a power-type estimate for the dimension of almostl
p subspaces of isomorphs ofl
p
n
and for the length of almost-symmetric sequences under a nonlinear-type condition.
Compounds of asymmetric convex bodiesSpringer Science and Business Media LLC - Tập 19 - Trang 349-358 - 1974
R. J. Cook
Mahler obtained inequalities relating an0-symmetric convex body with its compounds. These results are extended to asymmetric convex bodies.
Knot exteriors with all possible meridional essential surfacesSpringer Science and Business Media LLC - Tập 225 - Trang 909-924 - 2018
João M. Nogueira
We show the existence of infinitely many knots where each exterior contains meridional essential surfaces of independently unbounded genus and number of boundary components. In particular, we construct examples of knot exteriors each of which has all possible compact orientable surfaces embedded as meridional essential surfaces. From these results, we also prove the existence of a hyperbolic knot ...... hiện toàn bộ
Toroidal automorphic forms for function fieldsSpringer Science and Business Media LLC - Tập 194 - Trang 555-596 - 2012
Oliver Lorscheid
The space of toroidal automorphic forms was introduced by Zagier in 1979. Let F be a global field. An automorphic form on GL(2) is toroidal if it has vanishing constant Fourier coefficients along all embedded non-split tori. The interest in this space stems from the fact (amongst others) that an Eisenstein series of weight s is toroidal if s is a non-trivial zero of the zeta function, and thus a c...... hiện toàn bộ
The generation of the augmentation ideal in profinite groupsSpringer Science and Business Media LLC - Tập 186 - Trang 447-476 - 2012
Erika Damian
We find a formula for computing the minimum number of generators for the augmentation ideal in the profinite setting; this is a generalisation of a result obtained in the finite case by Cossey, Gruenberg and Kovács. We then consider probabilistic questions connected with the generation of the augmentation ideal and we define the class of APFG groups as those profinite groups for which the probabil...... hiện toàn bộ
On the decision problem for theories of finite modelsSpringer Science and Business Media LLC - Tập 2 - Trang 55-70 - 1964
Verena Huber Dyson
An infinite extension of the elementary theory of Abelian groups is constructed, which is proved to be decidable, while the elementary theory of its finite models is shown to be undecidable. Tarski’s proof of undecidability for the elementary theory of Abelian cancellation semigroups is presented in detail. Szmielew’s proof of the decidability of the elementary theory of Abelian groups is used to ...... hiện toàn bộ