4 papers · 1 filter
On the classification of small cyclotomic integers
Jitendra Bajpai, Srijan Das, Kiran S. Kedlaya +1
We give a general classification theorem for cyclotomic algebraic integers with all complex absolute values bounded by a fixed constant , modeled on the theorem of Cassels which…
Towards a generalized Maeda conjecture for modular forms with quadratic nebentypus
Debargha Banerjee, Dhrubajyoti Das, Srijan Das +2
We establish a lower bound for the number of non-CM Galois orbits of newforms in with non-trivial quadratic nebentypus for sufficiently large weights. Extending the…
A note on extensions of -adic representations of
Debargha Banerjee, Srijan Das
We compute extension groups in the category of duals of -adic Banach space representations of . Focusing on representations arising from the -adi…
The exceptional set in Cassel's theorem on small cyclotomic integers
Jitendra Bajpai, Srijan Das, Kiran S. Kedlaya +4
In a 1965 paper, R. Robinson made five conjectures about the classification of cyclotomic algebraic integers for which the maximum absolute value in any complex embedding (the hous…