From the 1 of 9 linked papers with an AI index.
9 papers
Explicit mock Heegner points and BSD formula on certain Mordell curves
Sumita Gunri, Somnath Jha, Dipramit Majumdar
The paper constructs explicit mock Heegner points on certain Mordell elliptic curves, verifies the Gross‑Zagier formula for them, and proves the Birch–Swinnerton‑Dyer formula up to…
A -Converse theorem for Real Quadratic Fields
Muskan Bansal, Somnath Jha, Aprameyo Pal +1
Let be an elliptic curve defined over a real quadratic field . Let be a rational prime that is inert in and assume that has split multiplicative reduction at…
On certain root number cases of the cube sum problem
Shamik Das, Somnath Jha
We consider certain families of integers determined by some congruence condition, such that the global root number of the elliptic curve is fo…
Iwasawa theory of fine Selmer groups over global fields
Sohan Ghosh, Somnath Jha, Sudhanshu Shekhar
The -fine Selmer group of an elliptic curve over a number field is a subgroup of the classical -Selmer group of over . Fine Selmer group is close…
Asymptotic Fermat equation of signature over totally real fields
Somnath Jha, Satyabrat Sahoo
Let be a totally real number field and be the ring of integers of . This manuscript examines the asymptotic solutions of the Fermat equation of signature $(…
2-Selmer companion modular forms
Abhishek, Somnath Jha, Sudhanshu Shekhar
Let be a positive integer and be a number field. Suppose that are two newforms such that their residual Galois representations at are isomorp…