2 citations · 3 across the 5 of their papers we have counts for
5 papers
Correlations of sums of two squares and other arithmetic functions in function fields
Lior Bary-Soroker, Arno Fehm
We investigate a function field analogue of a recent conjecture on autocorrelations of sums of two squares by Freiberg, Kurlberg and Rosenzweig, which generalizes an older conjectu…
Recent Progress on Definability of Henselian Valuations
Arno Fehm, Franziska Jahnke
Although the study of the definability of henselian valuations has a long history starting with J. Robinson, most of the results in this area were proven during the last few years.…
On the quantifier complexity of definable canonical henselian valuations
Arno Fehm, Franziska Jahnke
We discuss definability in the language of rings without parameters of the unique canonical henselian valuation of a field. We show that in most cases where the canonical henselian…
The elementary theory of large fields of totally S-adic numbers
Arno Fehm
We analyze the elementary theory of certain fields of totally S-adic algebraic numbers that were introduced and studied by Geyer-Jarden and Haran-Jarden-Pop. In particular, we prov…
Fields with almost small absolute Galois group
Arno Fehm, Franziska Jahnke
We construct and study fields F with the property that F has infinitely many extensions of some fixed degree, but E*/(E*)^n is finite for every finite extension E of F and every n>…