5 papers · 1 filter
On divergence related to Riemann--von Mangoldt's explicit formula of the prime-counting function
Harald Grobner
An explicit formula for the prime-counting function , usually attributed to Riemann and von Mangoldt, is prominently stated as the equation , where th…
On the residual Eisenstein cohomology of unitary groups
Harald Grobner
We investigate the residual Eisenstein cohomology of an arbitrary unitary group attached to an arbitrary quadratic extension of number fields . Our focus lies on the co…
Factorization of periods, construction of automorphic motives and Deligne's conjecture over CM-fields
Harald Grobner, Michael Harris, Jie Lin
The present paper is devoted to the relations between Deligne's conjecture on critical values of motivic -functions and the multiplicative relations between periods of arithmeti…
On the notion of the parabolic and the cuspidal support of smooth-automorphic forms and smooth-automorphic representations
Harald Grobner, Sonja Žunar
In this paper we describe several new aspects of the foundations of the representation theory of the space of smooth-automorphic forms (i.e., not necessarily -finite auto…
Deligne's conjecture for automorphic motives over CM-fields
Harald Grobner, Michael Harris, Jie Lin
The present paper is devoted to the relations between Deligne's conjecture on critical values of motivic -functions and the multiplicative relations between periods of arithmeti…