A construction of $p$-adic Asai $L$-functions for $\mathrm{GL}_2$ over CM fields

DOI10.1007/s00229-021-01341-3OpenAlexW3200613941MaRDI QIDQ2084286

Publication date: 18 October 2022

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07251

zbMATH Keywords

Eisenstein series CM fields $\mathrm{GL}_2$$p$-adic Asai (twisted tensor) $L$-functions Siegel units

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Iwasawa theory (11R23) Cohomology of arithmetic groups (11F75)

Cites Work

$\mathfrak{p}$-adic distributions attached to twisted tensor $L$-functions for $\mathrm{GL}_{2}$ over CM fields
Eisenstein cohomology of arithmetic groups. The case $GL_ 2$
$p$-ordinary cohomology groups for $\text{SL}(2)$ over number fields
On zeroes of the twisted tensor $L$-function
On the critical values of $L$-functions of $GL(2)$ and $GL(2)\times GL(2)$
Inner product formula for Yoshida lifts
Topological polylogarithms and $p$-adic interpolation of $L$-values of totally real fields
The subconvexity problem for $\mathrm{GL}_2$
Critical values of the twisted tensor $L$-function in the imaginary quadratic case
On primitive $p$-adic Rankin-Selberg $L$-functions
$p$-adic Asai $L$-functions attached to Bianchi cusp forms
$p$-adic Asai $L$-functions of Bianchi modular forms
Gamma factors for the asai representation of $\mathrm{GL}_2$
Endoscopic transfer for unitary groups and holomorphy of Asai $L$-functions
On $p$-adic $L$-function associated with cusp forms on $\mathrm{GL}_2$
Automorphic forms on GL (2)
Automorphic forms on $\mathrm{GL}(2)$. Part II
Zeta functions of simple algebras
Explicit inner product formulas and Bessel period formulas for HST lifts
Values of Twisted Tensor L-functions of Automorphic Forms Over Imaginary Quadratic Fields
On p-adic L-functions attached to motives over ℚ II
A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
EULER SYSTEMS FOR HILBERT MODULAR SURFACES
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A construction of \(p\)-adic Asai \(L\)-functions for \(\mathrm{GL}_2\) over CM fields