6 papers · 1 filter
A classification of even representations onto 3-adic SL(2)
Peter Vang Uttenthal
This paper gives a classification of even representations onto of prime conductor. In addition, an explicit algorithm based on global class fiel…
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…
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 raising the level of -adic…
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 . Previously, flatness was only known in…
The spin of prime ideals and level-raising of even Galois representations
Marius Fischer, Peter Vang Uttenthal
By extending the notion of spin of prime ideals, we show that a short character sum conjecture implies that the set of primes raising the level of a certain even Galois representat…
Elliptic curves and spin
Peter Koymans, Peter Vang Uttenthal
In the early 2000s, Ramakrishna asked the question: For the elliptic curve what is the density of primes for which the Fourier coefficient is a…