4 papers
math.NT2025
Rationality of the periods of Eisenstein series
Soumyadip Sahu
The article generalizes an observation of Zagier and Gangl to show that the image of the spectral Eisenstein series on a general congruence subgroup of , u…
math.NT2025
A note on the spaces of Eisenstein series on general congruence subgroups
Soumyadip Sahu
This article proposes a new approach to studying the spectral Eisenstein series of weight on a congruence subgroup of using Hecke's theory of Eisenste…
math.NT2025
Derived Hecke action on the trivial cohomology of division algebras
Soumyadip Sahu
This article generalizes Venkatesh's structure theorem for the derived Hecke action on the Hecke trivial cohomology of a division algebra over an imaginary quadratic field to divis…
math.NT2025
Supersingular primes and Bogomolov property
Soumyadip Sahu
Let be an elliptic curve over a number field with at least one real embedding and be a finite extension of . We generalize a result of Habegger to show that $L(E_{\t…