On the infinite volume Hecke surfaces
On the intersection of modular correspondences.
On the invariants of the Hecke groups
On the Iwahori-spherical discrete series for -adic Chevalley groups; formal degrees and -packets
On the Kodaira Dimension of the Moduli Space of Abelian Varieties.
On the Kodaira dimensions of Hilbert modular varieties.
On the Kronecker Pairing for Mixed Cusp Forms.
On the Kuznetsov-Bruggeman Formula for a Hilbert Modular Surface Having One Cusp.
On the Kuznetsov-Bruggemann formula for a Hilbert modular surface having one cusp (Addendum).
On the l-adic cohomology of Siegel threefolds.
On the Linear Independence of Certain Theta-Series.
On the local behaviour of ordinary -adic representations
Let be a primitive cusp form of weight at least 2, and let be the -adic Galois representation attached to . If is -ordinary, then it is known that the restriction of to a decomposition group at is “upper triangular”. If in addition has CM, then this representation is even “diagonal”. In this paper we provide evidence for the converse. More precisely, we show that the local Galois representation is not diagonal, for all except possibly finitely many of the arithmetic members of a non-CM...
On the local theta-correspondence.
On the location of poles of the triple -functions
On the magnitude of asymptotic probability measures of Dedekind zeta-functions and other Euler products
On the mean value of Dedekind sum weighted by the quadratic Gauss sum
Various properties of classical Dedekind sums have been investigated by many authors. For example, Wenpeng Zhang, On the mean values of Dedekind sums, J. Théor. Nombres Bordx, 8 (1996), 429–442, studied the asymptotic behavior of the mean value of Dedekind sums, and H. Rademacher and E. Grosswald, Dedekind Sums, The Carus Mathematical Monographs No. 16, The Mathematical Association of America, Washington, D.C., 1972, studied the related properties. In this paper, we use the algebraic method to...
On the mean value of L(m,χ )L(n,χ̅) at positive integers m,n ≥ 1
On the mean values of Dedekind sums
In this paper we study the asymptotic behavior of the mean value of Dedekind sums, and give a sharper asymptotic formula.
On the meromorphic continuation of degree two -functions.
On the non-existence of simple congruences for quotients of Eisenstein series