Number theory : algebraic numbers and functions

By H. Koch. 2000

77 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Theoretical Computer Science

View Paper: https://www.semanticscholar.org/paper/3fc80e3883d824f5ec483d8a32d1670803d4eddf

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. J. Klueners
2. Alexandra Shlapentokh
3. Gunter Malle

In Theoretical Computer Science

1. Alexandra Shlapentokh
2. Gunter Malle
3. J. Klueners

Citations in the corpus

• Hilbert's Tenth Problem (2006, background): “2, Section 3, Chapter 6 of [45], splitting completely in the extension KG/F .”
• On the Distribution of Galois Groups (2002, methodology): “If p is the precise power of p dividing dK/Q, then the inertia group at p is generated by a permutation g ∈ G with ind(g) = k (see, for example, [Koch 00]).”
• Counting nilpotent Galois extensions (2001, background): “Then the precise power of p dividing dKi/k is (dKi/k)p = p i, i = 1, 2 (see [10], p.”