Derivative at $s = 1$ of the $p$-adic $L$-function of the symmetric square of a Hilbert modular form (Q502983)

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English	Derivative at $s = 1$ of the $p$-adic $L$-function of the symmetric square of a Hilbert modular form	scientific article

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title

Derivative at $s = 1$ of the $p$-adic $L$-function of the symmetric square of a Hilbert modular form (English)

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author

Giovanni Rosso

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published in

Israel Journal of Mathematics

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publication date

11 January 2017

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full work available at URL

https://arxiv.org/abs/1306.4935

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zbMATH Keywords

Hilbert modular form

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$p$-adic $L$-functions

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conductor

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MaRDI profile type

MaRDI publication profile

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cites work

Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)

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A proof of the Mahler-Manin conjecture

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-Invariants of Adjoint Square Galois Representations Coming from Modular Forms

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Residue at $s=1$ of $p$-adic zeta functions

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S -adic L -Functions Attached to the Symmetric Square of a Newform

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Factorization of $p$-adic Rankin $L$-series

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Q3895546

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Values of abelian $L$-functions at negative integers over totally real fields

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Automorphic symbols, p-adic L-functions and ordinary cohomology of Hilbert modular varieties

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Q3154986

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On the behavior of $p$-adic $L$-functions at $s=0$

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A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$

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Q4314332

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$p$-adic $L$-functions and $p$-adic periods of modular forms

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$p$-adic measures and square roots of special values of triple product $L$-functions

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A p-adic measure attached to the zeta functions associated with two elliptic modular forms. I

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On p-adic Hecke algebras for $GL_ 2$ over totally real fields

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A $p$-adic measure attached to the zeta functions associated with two elliptic modular forms. II

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Q3972989

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On $p$-adic L-functions of $GL(2)\times GL(2)$ over totally real fields

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Adjoint Selmer groups as Iwasawa modules

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CONTROL THEOREMS OF COHERENT SHEAVES ON SHIMURA VARIETIES OF PEL TYPE

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Q5479417

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$\mathcal L$-invariants of Tate curves

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Special Values of Dirichlet Series Attached to Hilbert Modular Forms

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On $p$-adic analogues of the conjectures of Birch and Swinnerton-Dyer

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The exceptional zero conjecture for Hilbert modular forms

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Q5735274

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Derivative at $s=1$ of the $p$-adic $L$-function of the symmetric square of an elliptic curve over a totally real field

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A formula for the derivative of the p-adic L-function of the symmetric square of a finite slope modular form

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Derivative of symmetric square p-adic L-functions via pull-back formula

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p-adic measures attached to automorphic representations of GL(3)

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On Eisenstein series of half-integral weight

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On Hilbert modular forms of half-integral weight

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On the Fourier coefficients of Hilbert modular forms of half-integral weight

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Shintani cocycles and the order of vanishing of $p$-adic Hecke $L$-series at $s=0$

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On a Conjecture of Shimura Concerning Periods of Hilbert Modular Forms

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Identifiers

zbMATH Open document ID

1417.11077

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DOI

10.1007/s11856-016-1379-5

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:502983

Derivative at \(s = 1\) of the \(p\)-adic \(L\)-function of the symmetric square of a Hilbert modular form (Q502983)

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Sitelinks

Mathematics(1 entry)