In der weltweit größten Kohortenstudie, bestehend aus 586 466 Einwohnern Kopenhagens, beschrieben Selmer et al. (16) eine Subgruppe mit „hoch-normaler Euthyreose“, definiert über ein TSH von 0,2–0,4 mU/l. Diese Subgruppe besaß eine höhere Inzidenz für VHF (Risiko 1,12 bei einem 95%-Konfidenzintervall von 1,03–1,21) im Vergleich zur euthyreoten Population mit einem TSH-Spiegel von 0,4–5,0 mU/l (...

Answering a question posed by Conway and Norton in their seminal 1979 paper on moonshine, we prove the existence of graded infinite-dimensional module for sporadic simple group O'Nan, which McKay-Thompson series are weight $3/2$ modular forms. The coefficients these may be expressed terms class numbers, traces singular moduli, central critical values quadratic twists 2 $L$-functions. As consequ...

Let ρ be a modulo p representation of the absolute Galois group of a totally real number field. Under the assumptions that ρ has large image and admits a low weight crystalline modular deformation we show that any low weight crystalline deformation of ρ unramified outside a finite set of primes will be modular. We follow the approach of Wiles as generalized by Fujiwara. The main new ingredient ...

In this paper, we describe an algorithm that reduces the computation of the (full) p-Selmer group of an elliptic curve E over a number field to standard number field computations such as determining the (p-torsion of) the S-class group and a basis of the S-units modulo pth powers for a suitable set S of primes. In particular, we give a result reducing this set S of ‘bad primes’ to a very small ...

Let p be an odd prime and let E elliptic curve defined over a number field F with good reduction at the primes above p. In this survey article, we give overview of some important results proven for fine Selmer group signed groups cyclotomic towers as well ℤ 2 -extensions imaginary quadratic where splits completely. We only discuss algebraic aspects these objects through Iwasawa theory. also att...

Let $p$ be an odd prime. We attach appropriate signed Selmer groups to elliptic curve $E$, where $E$ is assumed have semistable reduction at all primes above $p$. then compare the Iwasawa $\lambda $-invariants of these for tw

In this paper, we deal with the étale cohomology of a proper regular arithmetic scheme X Z p ( r ) and Q -coefficients, where coefficients are complexes sheaves that author introduced in [SH] . We will prove -coefficients agrees Selmer group Bloch-Kato for any ≧ dim Using fundamental result, further discuss an approach to study zeta values (or residue) at s = , via relating Tamagawa number conj...