\(p\)-adic \(L\)-functions of Hilbert cusp forms and the trivial zero conjecture. (English) Zbl 1523.11092
Reviewer: Chuijia Wang (Haifa)
Found 26 Documents (Results 1–26)
Non-cuspidal Hida theory for Siegel modular forms and trivial zeros of \(p\)-adic \(L\)-functions. (English) Zbl 1465.11120
Reviewer: Emmanuel Royer (Aubière)
\(p\)-adic analogues of the BSD conjecture and the \(\mathcal{L}\)-invariant. (English) Zbl 1496.11091
Liang, Zhibin (ed.) et al., The computational and theoretical aspects of elliptic curves. Based on the conferences on “Theoretical and computational aspects of the Birch and Swinnerton-Dyer conjecture”, Beijing, China, December 2014 and Bangalore, India, December 2016. Singapore: Springer. Math. Lect. Peking Univ., 31-44 (2019).
The \({\mathcal {L}}\)-invariant, the dual \({\mathcal{L}}\)-invariant, and families. (English. French summary) Zbl 1365.11066
Reviewer: Andrzej Dąbrowski (Szczecin)
MSC:
11F80
Derivative of symmetric square \(p\)-adic \(L\)-functions via pull-back formula. (English) Zbl 1397.11121
Dieulefait, Luis (ed.) et al., Arithmetic and geometry. Proceedings of the research conference of the trimester, Bonn, Germany, April 15–19, 2013. Cambridge: Cambridge University Press (ISBN 978-1-107-46254-0/pbk; 978-1-316-10687-7/ebook). London Mathematical Society Lecture Note Series 420, 373-400 (2015).
On Greenberg’s \(l\)-invariant of the symmetric sixth power of an ordinary cusp form. (English) Zbl 1284.11145
Reviewer: Andrzej Dąbrowski (Szczecin)
\(\Lambda \)-adic modular symbols over totally real fields. (English) Zbl 1272.11080
Reviewer: Jeanine Van Order (Jerusalem)
Families of automorphic forms on definite quaternion algebras and Teitelbaum’s conjecture. (Familles de formes automorphes sur les algèbres quaternioniques et conjecture de Teitelbaum.) (English. French summary) Zbl 1251.11033
Berger, Laurent (ed.) et al., Représentations \(p\)-adiques de groupes \(p\)-adiques III: Méthodes globales et géométriques. Paris: Société Mathématique de France (ISBN 978-2-85629-282-2/pbk). Astérisque 331, 29-64 (2010).
Reviewer: Andrzej Dąbrowski (Szczecin)
Coleman’s \(\mathcal L\)-invariant and families of modular forms. (Représentations \(\mathcal L\)-adiques de groupes \(p\)-adiques.) (English. French summary) Zbl 1233.11075
Berger, Laurent (ed.) et al., Représentations \(p\)-adiques de groupes \(p\)-adiques III: Méthodes globales et géométriques. Paris: Société Mathématique de France (ISBN 978-2-85629-282-2/pbk). Astérisque 331, 1-12 (2010).
Reviewer: Andrzej Dąbrowski (Szczecin)
An elementary proof of the Mazur-Tate-Teitelbaum conjecture for elliptic curves. (English) Zbl 1138.11022
Reviewer: Andrzej Dąbrowski (Szczecin)
Teitelbaum’s exceptional zero conjecture in the function field case. (English) Zbl 1099.14013
Reviewer: Vasyl I. Andriychuk (Lviv)
Stark-Heegner points on modular Jacobians. (English) Zbl 1173.11334
MSC:
11G18
Greenberg’s \(\mathcal L\)-invariants of adjoint square Galois representations. (English) Zbl 1081.11039
Reviewer: Stefan Kühnlein (Karlsruhe)
A generalization of the Coleman map for Hida deformations. (English) Zbl 1057.11048
Reviewer: Lawrence C. Washington (College Park)
MSC:
11R23
Teitelbaum’s exceptional zero conjecture in the anticyclotomic setting. (English) Zbl 1079.11036
Reviewer: Manfred Kolster (Hamilton/Ontario)
Integration on \({\mathcal H_p}\times\mathcal H\) and arithmetic applications. (English) Zbl 1035.11027
Reviewer: Lawrence C. Washington (College Park)
Trivial zeros of \(p\)-adic \(L\)-functions, a special case. (Zéros triviaux des fonctions \(L\) \(p\)-adiques, un cas particulier.) (French) Zbl 0938.11032
Reviewer: L.Washington (College Park)
Growth of the Bergman kernel on planar regions. (English) Zbl 0844.46013
Reviewer: J.E.McCarthy (Saint Louis)
A review of non-Archimedean elliptic functions. (English) Zbl 1071.11508
Coates, John (ed.) et al., Elliptic curves, modular forms, and Fermat’s last theorem. Proceedings of the conference on elliptic curves and modular forms held at the Chinese University of Hong Kong, December 18-21, 1993. Cambridge, MA: International Press (ISBN 1-57146-026-8/hbk). Ser. Number Theory 1, 162-184 (1995).
Reviewer: Antoine Chambert-Loir (MR1363501)
On certain Galois representations related to the modular curve \(X_ 1(p)\). (English) Zbl 0853.11045
Reviewer: J.Teitelbaum (Chicago)
\(\Lambda\)-adic modular forms of half-integral weight and a \(\Lambda\)-adic Shintani lifting. (English) Zbl 0869.11042
Childress, Nancy (ed.) et al., Arithmetic geometry. Conference on arithmetic geometry with an emphasis on Iwasawa theory, March 15-18, 1993, Arizona State Univ., Tempe, AZ, USA. Providence, RI: American Mathematical Society. Contemp. Math. 174, 129-151 (1994).
Reviewer: A.Dabrowski (Szczecin)
On the conjecture of Mazur, Tate, and Teitelbaum. (English) Zbl 0846.11030
Mazur, Barry (ed.) et al., \(p\)-adic monodromy and the Birch and Swinnerton-Dyer conjecture. A workshop held August 12-16, 1991 in Boston, MA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 165, 183-211 (1994).
Reviewer: Andrzej Dąbrowski (Szczecin)
Trivial zeros of \(p\)-adic \(L\)-functions. (English) Zbl 0838.11070
Mazur, Barry (ed.) et al., \(p\)-adic monodromy and the Birch and Swinnerton-Dyer conjecture. A workshop held August 12-16, 1991 in Boston, MA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 165, 149-174 (1994).
Reviewer: F.Gouvêa (Waterville)
On standard \(p\)-adic \(L\)-functions of families of elliptic cusp forms. (English) Zbl 0841.11028
Mazur, Barry (ed.) et al., \(p\)-adic monodromy and the Birch and Swinnerton-Dyer conjecture. A workshop held August 12-16, 1991 in Boston, MA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 165, 81-110 (1994).
Reviewer: A.Dabrowski (Szczecin)
Intersection theory and arithmetic Riemann-Roch theorem. (Théorie de l’intersection et théorème de Riemann-Roch arithmétiques.) (French) Zbl 0780.14013
Séminaire Bourbaki, Vol. 1990/91, Exp. No. 731, Astérisque 201-203, 43-88 (1991).
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