Results 1 to 10 of about 282 (32)
Forum of Mathematics, Sigma, 2023 Let K be a finite extension of the p-adic field ${\mathbb {Q}}_p$ of degree d, let ${{\mathbb {F}}\,\!{}}$ be a finite field of characteristic p and let ${\overline {{D}}}$ be an n-dimensional pseudocharacter in the sense of ...
Gebhard Böckle, Ann-Kristin Juschka
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The Saito-Kurokawa lifting and Darmon points [PDF]
, 2013 Let $E_{/_\Q}$ be an elliptic curve of conductor $Np$ with $p\nmid N$ and let $f$ be its associated newform of weight 2. Denote by $f_\infty$ the $p$-adic Hida family passing though $f$, and by $F_\infty$ its $\Lambda$-adic Saito-Kurokawa lift.
Longo, M., Nicole, M.
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On depth zero L‐packets for classical groups
Proceedings of the London Mathematical Society, Volume 121, Issue 5, Page 1083-1120, November 2020., 2020 Abstract By computing reducibility points of parabolically induced representations, we construct, to within at most two unramified quadratic characters, the Langlands parameter of an arbitrary depth zero irreducible cuspidal representation π of a classical group (which may be not‐quasi‐split) over a non‐archimedean local field of odd residual ...
Jaime Lust, Shaun Stevens
wiley +1 more source
$p$-ADIC $L$-FUNCTIONS FOR UNITARY GROUPS
Forum of Mathematics, Pi, 2020 This paper completes the construction of $p$-adic $L$-functions for unitary groups. More precisely, in Harris, Li and Skinner [‘$p$-adic $L$-functions for unitary Shimura varieties. I. Construction of the Eisenstein measure’, Doc. Math.Extra Vol. (2006),
ELLEN EISCHEN +3 more
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Ordinary Modular Forms and Companion Points on the Eigencurve [PDF]
, 2013 We give a new proof of a result due to Breuil and Emerton which relates the splitting behavior at p of the p-adic Galois representation attached to a p-ordinary modular form to the existence of an overconvergent p-adic companion form for f.Comment: 12 ...
Bergdall, John
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Une remarque sur le degré formel d’une série discrète d’un groupe linéaire général $p$-adique [PDF]
, 2006 International ...
Heiermann, Volker
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International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 42, Page 2673-2688, 2003., 2003 We investigate p‐adic completions of clopen (i.e., closed and open at the same time) subgroups W of loop groups and diffeomorphism groups G of compact manifolds over non‐Archimedean fields. We outline two different compactifications of loop groups and one compactification of diffeomorphism groups, describe associated finite groups in projective limits,
S. V. Ludkovsky, B. Diarra
wiley +1 more source
Distinguished representations, base change, and reducibility for unitary groups [PDF]
, 2004 We show the equality of the local Asai L-functions defined via the Rankin-Selberg method and the Langlands-Shahidi method for a square integrable representation of GL(n,E).
Anandavardhanan, U. K., Rajan, C. S.
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A note on p-adic Rankin--Selberg L-functions [PDF]
, 2017 We prove an interpolation formula for the values of certain $p$-adic Rankin--Selberg $L$-functions associated to non-ordinary modular forms.Comment: Updated version, with minor corrections. To appear in Canad.
Loeffler, David
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On the asymptotic growth of Bloch-Kato-Shafarevich-Tate groups of modular forms over cyclotomic extensions [PDF]
, 2016 We study the asymptotic behaviour of the Bloch-Kato-Shafarevich-Tate group of a modular form f over the cyclotomic Zp-extension of Q under the assumption that f is non-ordinary at p. In particular, we give upper bounds of these groups in terms of Iwasawa
Lei, Antonio +2 more
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