This article establishes new cases of the Birch and Swinnerton-Dyer conjecture in analytic
rank $0 $, for elliptic curves over $\mathbb {Q} $ viewed over the fields cut out by certain self …

Let be odd two-dimensional Artin representations for which is self-dual. The progress on
modularity achieved in recent decades ensures the existence of normalized eigenforms of …

Let E be an elliptic curve over Q and let% be an odd, irreducible twodimensional Artin
representation. This article proves the Birch and Swinnerton-Dyer conjecture in analytic rank …

Norm-compatible families of cohomology classes for Shimura varieties, and other arithmetic
symmetric spaces, play an important role in Iwasawa theory of automorphic forms. The aim …

This article can be read as a companion and sequel to the authors' earlier article on Stark
points and p-adic iterated integrals attached to modular forms of weight one, which proposes …

Heegner points play an outstanding role in the study of the Birch and Swinnerton-Dyer
conjecture, providing canonical Mordell–Weil generators whose heights encode first …

For every triple F, K, p where F is a classical elliptic eigenform, K is a quadratic imaginary
field and p> 3 is a prime integer which is not split in K, we attach a p-adic L function which …

We prove a $ p $-converse theorem for elliptic curves $ E/\mathbb {Q} $ with complex
multiplication by the ring of integers $\mathcal {O} _K $ of an imaginary quadratic field $ K …

In his ground-breaking work, K. Kato constructed the Euler system of Beilinson--Kato's zeta
elements and proved spectacular results on the Iwasawa main conjecture for elliptic curves …

Overconvergent modular forms and their explicit arithmetic Page 1 BULLETIN (New Series) OF
THE AMERICAN MATHEMATICAL SOCIETY Volume 58, Number 3, July 2021, Pages 313–356 …