Peter Vang Uttenthal

collaborators

8 papers

math.FA2026

Convergent series of coherent states

Peter Vang Uttenthal

For a discrete subspace $Γ$ of a homogeneous space $X$ and a positive definite reproducing kernel Hilbert space $H (X)$ , a convergence proof is given for series of partial…

math.RT2026

Covers of Bruhat-Tits trees

Corina Ciobotaru, Peter Vang Uttenthal

Let $G$ be a locally compact group and let $G$ be a central extension that splits over a maximal compact subgroup $K$ of $G$ . We derive an explicit cocycle that lifts t…

math.NT2025

A classification of even representations onto 3-adic SL(2)

Peter Vang Uttenthal

This paper gives a classification of even representations onto $SL (2, Z_{3})$ of prime conductor. In addition, an explicit algorithm based on global class fiel…

math.NT2025

Parameters of solvable automorphic forms

Peter Vang Uttenthal

In a letter from Tate to Serre dated March 26, 1974, Tate suggested a classification of weight one modular forms of prime level in terms of their associated odd Artin representatio…

math.NT2025

Level-raising of even representations of tetrahedral type and equidistribution of lines in the projective plane

Peter Vang Uttenthal

The distribution of primes raising the level of even Galois representations of tetrahedral type is studied. Data are presented on primes $v \leq 1 0^{8}$ raising the level of $3$ -adic…

math.NT2025

On flat even deformation rings

Peter Vang Uttenthal

In the presence of a nontrivial dual Selmer group, certain global even deformation rings are shown to be finite and flat over $Z_{p}$ . Previously, flatness was only known in…