Iwasawa main conjecture for Rankin-Selberg \(p\)-adic \(L\)-functions
From MaRDI portal
Publication:2190840
DOI10.2140/ant.2020.14.383zbMath1472.11282arXiv1408.4044OpenAlexW3029996371WikidataQ123008448 ScholiaQ123008448MaRDI QIDQ2190840
Publication date: 23 June 2020
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1408.4044
Related Items (14)
The Iwasawa main conjectures for \(\operatorname{GL}_2\) and derivatives of \(p\)-adic \(L\)-functions ⋮ The Birch and Swinnerton-Dyer Conjecture: A brief survey ⋮ Iwasawa–Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on GU(3,1) ⋮ On the nonvanishing of generalised Kato classes for elliptic curves of rank 2 ⋮ Main conjectures for higher rank nearly ordinary families. I ⋮ A \(p\)-adic Waldspurger formula and the conjecture of Birch and Swinnerton-Dyer ⋮ A proof of Perrin-Riou's Heegner point main conjecture ⋮ Anticyclotomic \(p\)-adic \(L\)-functions and Ichino's formula ⋮ Heegner point Kolyvagin system and Iwasawa main conjecture ⋮ Overconvergent Eichler-Shimura isomorphisms for unitary Shimura curves over totally real fields ⋮ \(p\)-converse to a theorem of Gross-Zagier, Kolyvagin and Rubin ⋮ A BSD formula for high-weight modular forms ⋮ Iwasawa theory for \(\mathrm{GL}_2\times \mathrm{Res}_{K/\mathbb{Q}}\mathrm{GL}_1\) ⋮ Ordinary families of Klingen Eisenstein series on symplectic groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Special values of anticyclotomic Rankin-Selberg \(L\)-functions
- Galois representations arising from some compact Shimura varieties
- Ordinary \(p\)-adic Eisenstein series and \(p\)-adic \(L\)-functions for unitary groups
- On the non-vanishing mod \(\ell\) of central \(L\)-values with anticyclotomic twists for Hilbert modular forms
- Euler systems for Rankin-Selberg convolutions of modular forms
- Families of nearly ordinary Eisenstein series on unitary groups. With an appendix by Kai-Wen Lan
- Trilinear forms and the central values of triple product \(L\)-functions
- On the Siegel-Weil formula for unitary groups
- Irreducibility of the Igusa tower
- Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
- On p-adic Hecke algebras for \(GL_ 2\) over totally real fields
- Theta functions with complex multiplication
- On the anticyclotomic main conjecture for CM fields
- On the Iwasawa invariants of elliptic curves
- The Birch and Swinnerton-Dyer formula for elliptic curves of analytic rank one
- On the theory of Jacobi forms and Fourier-Jacobi coefficients of Eisenstein series
- Galois representations associated with unitary groups over \(\mathbb Q\)
- Fourier-Jacobi coefficients of Eisenstein series on unitary groups
- A \(p\)-adic Eisenstein measure for unitary groups
- On \(p\)-adic L-functions of \(GL(2)\times GL(2)\) over totally real fields
- The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)
- On the \(\mu\)-invariant of anticyclotomic \(p\)-adic \(L\)-functions for CM fields
- Automorphic forms on GL (2)
- A proof of the Howe duality conjecture
- On the non-vanishing of Hecke <i>L</i>-values modulo <i>p</i>
- Comparison between analytic and algebraic constructions of toroidal compactifications of PEL-type Shimura varieties
- Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields
- On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173)
- THE IWASAWA MAIN CONJECTURE FOR HILBERT MODULAR FORMS
- CONTROL THEOREMS OF COHERENT SHEAVES ON SHIMURA VARIETIES OF PEL TYPE
- ON THE -ADIC VARIATION OF HEEGNER POINTS
- Anti-cyclotomic Katz $p$-adic $L$-functions and congruence modules
- Theta dichotomy for unitary groups
This page was built for publication: Iwasawa main conjecture for Rankin-Selberg \(p\)-adic \(L\)-functions
