15 citations · 58 across the 28 of their papers we have counts for
28 papers
Uniform irreducibility of Galois action on the -primary part of Abelian -folds of Picard type
Mladen Dimitrov, Dinakar Ramakrishnan
Half a century ago Manin showed that given a number field and a rational prime , there exists a uniform bound for the order of cyclic -power isogenies between two n…
Global Galois Symbols on E x E
Dinakar Ramakrishnan
Let E be an elliptic curve over a number field F, A the abelian surface E x E, and T_F(A) the F-rational albanese kernel of A, which is a subgroup of the degree zero part of Chow g…
A constraint for twist equivalence of cusp forms on GL
Dinakar Ramakrishnan, Liyang Yang
This Note answers, and generalizes, a question of Kaisa Matomäki. We show that give two cuspidal automorphic representations and of over a number field of re…
A Theorem on GL(n) a la Tchebotarev
Dinakar Ramakrishnan
Let be a finite Galois extension of number fields. It is well known that the Tchebotarev density theorem implies that an irreducible, finitely ramified -adic representatio…
Eisenstein series of weight one, -averages of the -logarithm and periods of elliptic curves
Daniel R. Grayson, Dinakar Ramakrishnan
For any elliptic curve over with , , we study the -average , defined on $E({\Bbb C})…
Recovering Cusp forms on GL(2) from Symmetric Cubes
Dinakar Ramakrishnan
Suppose , are cusp forms on GL, not of solvable polyhedral type, such that they have the same symmetric cubes. Then we show that either , are twist equivalent,…