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Harder's conjecture. I (Q6144609)

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scientific article; zbMATH DE number 7784652

Language	Label	Description	Also known as
English	Harder's conjecture. I	scientific article; zbMATH DE number 7784652

Statements

scholarly article

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Harder's conjecture. I (English)

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Tomoyoshi Ibukiyama

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Hidenori Katsurada

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Takuya Yamauchi

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Journal of the Mathematical Society of Japan

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publication date

8 January 2024

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full work available at URL

https://arxiv.org/abs/2109.10551

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https://projecteuclid.org/journals/journal-of-the-mathematical-society-of-japan/volume-75/issue-4/Harders-conjecture-I/10.2969/jmsj/87988798.full

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zbMATH Keywords

Harder's conjecture

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lifting

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congruence for the Klingen-Eisenstein lift

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MaRDI profile type

MaRDI publication profile

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Paquets d’Arthur des groupes classiques et unitaires

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Eisenstein congruences for split reductive groups

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Über die Fourierkoeffizienten der Siegelschen Eisensteinreihen

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Über Funktionalgleichungen automorpher L-Funktionen zur Siegelschen Modulgruppe.

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Über die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen. II

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\(p\)-adic measures attached to Siegel modular forms

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Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and Pfaffians

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Automorphic Forms and Even Unimodular Lattices

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Lifting puzzles and congruences of Ikeda and Ikeda-Miyawaki lifts

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Some Siegel modular standard \(L\)-values, and Shafarevich-Tate groups

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Polynomial representations of \(GL_n\)

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Congruence Between a Siegel and an Elliptic Modular Form

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A conjecture on a Shimura type correspondence for Siegel modular forms, and Harder's conjecture on congruences

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Conjectures on correspondence of symplectic modular forms of middle parahoric type and Ihara lifts

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One-line formula for automorphic differential operators on Siegel modular forms

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Generic differential operators on Siegel modular forms and special polynomials

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Differential operators, exact pullback formulas of Eisenstein series, and Laplace transforms

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Holonomic systems of Gegenbauer type polynomials of matrix arguments related with Siegel modular forms

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Congruences to Ikeda-Miyawaki lifts and triple \(L\)-values of elliptic modular forms

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Construction of Theta Series of Any Vector-Valued Weight and Applications to Lifts and Congruences

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On the lifting of elliptic cusp forms to Siegel cusp forms of degree \(2n\)

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Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture

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Proofs of Ibukiyama's conjectures on Siegel modular forms of half-integral weight and of degree 2

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An Explicit Formula for Siegel Series

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Congruence of Siegel modular forms and special values of their standard zeta functions

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Exact Standard Zeta Values of Siegel Modular Forms

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Congruences for Hecke eigenvalues of Siegel modular forms

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Zum Darstellungssatz für Siegelsche Modulformen

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Modular forms of half-integral weight on \(\Gamma_0(4)\)

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A certain Dirichlet series attached to Siegel modular forms of degree two

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Values of L-series of modular forms at the center of the critical strip

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Standard \(L\)-functions attached to alternating tensor valued Siegel modular forms

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Garrett's pullback formula for vector valued Siegel modular forms

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On the functional equations satisfied by Eisenstein series

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NUMERICAL EXAMPLES OF SIEGEL CUSP FORMS OF DEGREEE 3 AND THEIR ZETA-FUNCTIONS

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Correction to: ``Poles and residues of standard \(L\)-functions attached to Siegel modular forms''

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SUR LES PAQUETS D’ARTHUR DE CONTENANT DES MODULES UNITAIRES DE PLUS HAUT POIDS, SCALAIRES

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LIFTING PUZZLES IN DEGREE FOUR

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The special values of the zeta functions associated with cusp forms

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On the periods of modular forms

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Dimensions of spaces of level one automorphic forms for split classical groups using the trace formula

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.2969/JMSJ/87988798

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Sitelinks

Mathematics(1 entry)

mardi Publication:6144609

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