Automorphic forms for some even unimodular lattices
DOI10.1007/s12188-021-00231-5zbMath1483.11089arXiv2003.08703OpenAlexW3133058054MaRDI QIDQ2238294
Publication date: 1 November 2021
Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.08703
theta seriesHilbert modular formsHermitian modular formseven unimodular latticesalgebraic modular forms
Theta series; Weil representation; theta correspondences (11F27) Quadratic forms over global rings and fields (11E12) Congruences for modular and (p)-adic modular forms (11F33) Bilinear and Hermitian forms (11E39) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)
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Cites Work
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- Arithmetic theta lifting and \(L\)-derivatives for unitary groups. I
- The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula
- On the classification of lattices over \(\mathbb Q(\sqrt{-3})\), which are even unimodular \(\mathbb Z\)-lattices
- Dihedral congruence primes and class fields of real quadratic fields
- Eisenstein congruences for split reductive groups
- Siegel modular forms of degree two attached to Hilbert modular forms
- Spinor equivalence of quadratic forms
- Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture
- Even positive definite unimodular quadratic forms over real quadratic fields
- On the Siegel-Weil formula for unitary groups
- Hermitian modular forms congruent to 1 modulo \(p\)
- Even unimodular 12-dimensional quadratic forms over \({\mathbb{Q}}(\sqrt{5})\)
- Even unimodular 8-dimensional quadratic forms over \({\mathbb{Q}}(\sqrt{2})\)
- Congruences of cusp forms and special values of their zeta functions
- Hermitian quadratic forms and Hermitian modular forms
- Unimodular lattices over real quadratic fields
- On the Miyawaki lifts of Hermitian modular forms
- Arthur's multiplicity formula for certain inner forms of special orthogonal and symplectic groups
- A regularized Siegel-Weil formula for unitary groups
- Eisenstein series and zeta functions on symplectic groups
- Algebraic modular forms
- Twisted adjoint \(L\)-values, dihedral congruence primes and the Bloch-Kato conjecture
- Arithmeticity of holomorphic cuspforms on Hermitian symmetric domains
- A theory of Miyawaki liftings: the Hilbert-Siegel case
- \(p\)-adic \(L\)-functions for unitary Shimura varieties. I: Construction of the Eisenstein measure
- Arithmetic of unitary groups
- On Siegel modular forms of weigth 12
- Level one algebraic cusp forms of classical groups of small rank
- The Integral Representations of Quadratic Forms Over Local Fields
- Langlands' Functoriality and the Weil Representation
- Even Positive Definite Unimodular Quadratic Forms over \BbbQ(√3)
- Automorphic Forms on Feit’s Hermitian Lattices
- On the lifting of Hilbert cusp forms to Hilbert-Siegel cusp forms
- Special Values of the Standard Zeta Functions for Elliptic Modular Forms
- On the lifting of hermitian modular forms
- Non-vanishing theorems for the cohomology of certain arithmetic quotients.
- NUMERICAL EXAMPLES OF SIEGEL CUSP FORMS OF DEGREEE 3 AND THEIR ZETA-FUNCTIONS
- On the Linear Representability of Siegel-Hilbert Modular Forms by Theta Series
- Automorphic Forms and Even Unimodular Lattices
- Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert
- Congruences of local origin and automorphic induction
- -ADIC -FUNCTIONS FOR UNITARY GROUPS
- Lattice Methods for Algebraic Modular Forms on Classical Groups
- Theta dichotomy for unitary groups
- Hermitian Forms Over Local Fields
- Global \(L\)-packets for GSp(2) and theta lifts
- On the lifting of elliptic cusp forms to Siegel cusp forms of degree \(2n\)
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