The values of the Dedekind–Rademacher cocycle at certain real quadratic arguments are
shown to be global p-units in the narrow Hilbert class field of the associated real quadratic …

Rigid meromorphic cocycles are defined in the setting of orthogonal groups of arbitrary real
signature and constructed in some instances via a $ p $-adic analogue of Borcherds' …

We compute the diagonal restriction of the first derivative with respect to the weight of ap-
adic family of Hilbert modular Eisenstein series attached to a general (odd) character of the …

Let GG be a connected reductive group over QQ such that G= G/Q _p G= G/Q p is quasi-split,
and let Q ⊂ GQ⊂ G be a parabolic subgroup. We introduce parahoric overconvergent …

We propose a conjecture extending the classical construction of elliptic units to complex
cubic number fields $ K $. The conjecture concerns special values of the elliptic gamma …

We investigate the asymptotic distribution of integrals of the j-function that are associated to
ideal classes in a real quadratic field. To estimate the error term in our asymptotic formula …

The winding of a closed oriented geodesic around the cusp of the modular orbifold is
computed by the Rademacher symbol, a classical function from the theory of modular forms …

In a recent work of Duke, Imamoḡlu, and Tóth, the linking number of certain links on the
space SL (2, Z)\SL (2, R) is investigated. This linking number has an alternative …

Rigid meromorphic cocycles were introduced by Darmon and Vonk as a conjectural p-adic
extension of the theory of singular moduli to real quadratic base fields. They are certain …

The arithmetic, p-arithmetic, and incoherent intersections between pairs of closed geodesics
on a modular or Shimura curve are defined, and some of their expected algebraicity and …