We study the growth of class numbers and discuss different parameter choices for Ring Learning with Errors (RWLE) that can influence the hardness of the underlying approximate shortest vector problem.
We study the twisting of motivic L-functions by a family of multiplicative characters. The resulting twisted L-function has interesting analytic properties and can be used to define convergent p-adic Dirichlet series and Euler products.
We study the Iwasawa λ-invariant of Dirichlet characters χ for odd primes p and derive easily computable novel criteria to distinguish between the cases λ=0, λ=1, λ=2 and λ≥3.
In a joint paper with Daniel Delbourgo, we study we study the Iwasawa lambda-invariants of Dirichlet characters of any order and generalize a prediction of Ellenberg, Jain and Venkatesh.
In a joint paper with Lawrence C. Washington, we derive a Dirichlet series expansion of p-adic L-functions. The paper is published in Abh. Math. Sem. Univ. Hambg.
We define an alternating measure on the p-adic integers and derive a Dirichlet expansion of p-adic L-functions.