[PDF][PDF] Diagonal cycles and Euler systems I: A p-adic Gross-Zagier formula
H Darmon, V Rotger - Ann. Sci. Éc. Norm. Supér.(4), 2014 - Citeseer
This article is the first in a series devoted to studying generalised Gross-Kudla-Schoen
diagonal cycles in the product of three Kuga-Sato varieties and the Euler system properties …
diagonal cycles in the product of three Kuga-Sato varieties and the Euler system properties …
Reciprocity laws for balanced diagonal classes
M Bertolini, MA Seveso, R Venerucci - Astérisque, 2022 - smf.emath.fr
This article constructs a 3-variable balanced diagonal class κ (f, g, h) in the cohomology of
the Galois representation associated to a self-dual triple (f, g, h) of p-adic Hida families. Its …
the Galois representation associated to a self-dual triple (f, g, h) of p-adic Hida families. Its …
The orbit method and analysis of automorphic forms
PD Nelson, A Venkatesh - Acta Mathematica, 2021 - projecteuclid.org
The problem of giving asymptotic formulas for moments of large-degree L-functions has
proven challenging. In approaching this problem, one encounters difficult analytic questions …
proven challenging. In approaching this problem, one encounters difficult analytic questions …
Triple product p-adic L-functions for balanced weights
M Greenberg, MA Seveso - Mathematische Annalen, 2020 - Springer
We construct p-adic triple product L-functions that interpolate (square roots of) central critical
L-values in the balanced region. Thus, our construction complements that of Harris and …
L-values in the balanced region. Thus, our construction complements that of Harris and …
Quantum variance on quaternion algebras, II
PD Nelson - arXiv preprint arXiv:1702.02669, 2017 - arxiv.org
A method for determining quantum variance asymptotics on compact quotients attached to
non-split quaternion algebras is developed in general and applied to" microlocal lifts" in the …
non-split quaternion algebras is developed in general and applied to" microlocal lifts" in the …
Balanced triple product -adic -functions and Stark points
L Dall'Ava, A Horawa - arXiv preprint arXiv:2403.05183, 2024 - arxiv.org
Let $ E $ be an elliptic curve over $\mathbb {Q} $ and $\varrho_1,\varrho_2\colon\mathrm
{Gal}(H/\mathbb {Q})\to\mathrm {GL} _2 (L) $ be two odd Artin representations. We use $ p …
{Gal}(H/\mathbb {Q})\to\mathrm {GL} _2 (L) $ be two odd Artin representations. We use $ p …
Ichino periods for CM forms
L Cai, Y Fan, Y Jiang - Journal of Number Theory, 2025 - Elsevier
Ichino periods for CM forms - ScienceDirect Skip to main contentSkip to article Elsevier logo
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Journals & Books Help Search My account Sign in View PDF Download full issue Search …
Analytic isolation of newforms of given level
PD Nelson - Archiv der Mathematik, 2017 - Springer
Analytic isolation of newforms of given level Page 1 Arch. Math. 108 (2017), 555–568 c 2017
Springer International Publishing 0003-889X/17/060555-14 published online March 24, 2017 …
Springer International Publishing 0003-889X/17/060555-14 published online March 24, 2017 …
[PDF][PDF] Explicit trilinear forms and the triple product L-functions
M Woodbury - preprint, 2012 - mi.uni-koeln.de
We study the central value of the triple product L-function L (1/2, Π) where Π= π1⊗ π2⊗ π3
and each πi is a cuspidal automorphic representation of GL2 over a number field F. This …
and each πi is a cuspidal automorphic representation of GL2 over a number field F. This …