7 citations · 8 across the 6 of their papers we have counts for
6 papers · 1 filter
Elliptic units for complex cubic fields
Nicolas Bergeron, Pierre Charollois, Luis E. García
We propose a conjecture extending the classical construction of elliptic units to complex cubic number fields . The conjecture concerns special values of the elliptic gamma func…
Eisenstein cohomology classes for over imaginary quadratic fields
Nicolas Bergeron, Pierre Charollois, Luis E. Garcia
We study the arithmetic of degree Eisenstein cohomology classes for locally symmetric spaces associated to over an imaginary quadratic field . Under natura…
Harmonic Maass forms associated to real quadratic fields
Pierre Charollois, Yingkun Li
In this paper, we explicitly construct harmonic Maass forms that map to the weight one theta series associated by Hecke to odd ray class group characters of real quadratic fields.…
Integral Eisenstein cocycles on GLn, II : Shintani's method
Pierre Charollois, Samit Dasgupta, Matthew Greenberg
We define a cocycle on Gln using Shintani's method. It is closely related to cocycles defined earlier by Solomon and Hill, but differs in that the cocycle property is achieved thro…
Rationality of secant zeta values
Pierre Charollois, Matthew Greenberg
We use the Arakawa-Berndt theory of generalized eta-functions to prove a conjecture of Lalìn, Rodrigue and Rogers concerning the algebraic nature of special values of the secant ze…
Integral Eisenstein cocycles on GLn, I : Sczech's cocycle and p-adic L-functions of totally real fields
Pierre Charollois, Samit Dasgupta
We define an integral version of Sczech's Eisenstein cocycle on GLn by smoothing at a prime ell. As a result we obtain a new proof of the integrality of the values at nonpositive i…