ABSTRACT. In this paper we reinterpret the main results of [8] using the intersection theory of cycles with coefficients. To this end we give a functorial interpretation of Eichler-Schimura periods. Introduction. In this paper we reformulate the main results of S. Katok [8] in terms of homology theory with local coefficients. In order to do so we first give an interpretation of the period of a cusp form f of weight 2m + 2 (m 2: 1) over a closed geodesic h] as the Kronecker index of the cohomology class Sh f with local coefficients associated to f by Shimura [13] and a I-cycle with dual local coefficient
In this thesis we study algebraic cycles on Shimura varieties of orthogonal type. Such varieties are...
We establish an Eichler–Shimura isomorphism for weakly modular forms of level one. We do this by rel...
Given a modular form f of even weight larger than two and an imaginary quadratic field K satisfying ...
Abstract. In this paper we present a geometric way to extend the Shintani lift from even weight cusp...
Abstract. We use mock modular forms to compute generating functions for the critical values of modul...
In foundational papers, Gross, Zagier, and Kohnen established two formulas for arithmetic intersecti...
In foundational papers, Gross, Zagier, and Kohnen established two formulas for arithmetic intersecti...
Abstract. The purpose of this paper is to generalize the relation between intersection numbers of cy...
This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fo...
We consider the generalized hypergeometric function _<m+1>E_m and the differential equation _<m+1>E_...
We establish an Eichler–Shimura isomorphism for weakly modular forms of level one. We do this by rel...
This thesis deals with rational points on elliptic curves. Darmon and Logan proposed a conjectural c...
A classical result of Eichler, Shimura and Manin asserts that the map that assigns to a cusp form f ...
We study the detailed structure of the distribution of Eichler–Shimura periods of an automorphic for...
Abstract: The main purpose of this paper is the generalization of the well-known Eichler-Shimura con...
In this thesis we study algebraic cycles on Shimura varieties of orthogonal type. Such varieties are...
We establish an Eichler–Shimura isomorphism for weakly modular forms of level one. We do this by rel...
Given a modular form f of even weight larger than two and an imaginary quadratic field K satisfying ...
Abstract. In this paper we present a geometric way to extend the Shintani lift from even weight cusp...
Abstract. We use mock modular forms to compute generating functions for the critical values of modul...
In foundational papers, Gross, Zagier, and Kohnen established two formulas for arithmetic intersecti...
In foundational papers, Gross, Zagier, and Kohnen established two formulas for arithmetic intersecti...
Abstract. The purpose of this paper is to generalize the relation between intersection numbers of cy...
This monograph treats one case of a series of conjectures by S. Kudla, whose goal is to show that Fo...
We consider the generalized hypergeometric function _<m+1>E_m and the differential equation _<m+1>E_...
We establish an Eichler–Shimura isomorphism for weakly modular forms of level one. We do this by rel...
This thesis deals with rational points on elliptic curves. Darmon and Logan proposed a conjectural c...
A classical result of Eichler, Shimura and Manin asserts that the map that assigns to a cusp form f ...
We study the detailed structure of the distribution of Eichler–Shimura periods of an automorphic for...
Abstract: The main purpose of this paper is the generalization of the well-known Eichler-Shimura con...
In this thesis we study algebraic cycles on Shimura varieties of orthogonal type. Such varieties are...
We establish an Eichler–Shimura isomorphism for weakly modular forms of level one. We do this by rel...
Given a modular form f of even weight larger than two and an imaginary quadratic field K satisfying ...