Explicit inner product formulas and Bessel period formulas for HST lifts
DOI10.1215/21562261-2022-0004OpenAlexW2895593045WikidataQ113751493 ScholiaQ113751493MaRDI QIDQ2672160
Publication date: 8 June 2022
Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.02603
Iwasawa theoryFourier coefficientsinner productsspecial values of \(L\)-functionstheta correspondences
Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Iwasawa theory (11R23) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
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Cites Work
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- The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula
- Bessel periods and the non-vanishing of Yoshida lifts modulo a prime
- \(l\)-adic representations associated to modular forms over imaginary quadratic fields. I: Lifting to \(GSp_ 4(\mathbb{Q})\)
- Bemerkung über Kongruenzuntergruppen der Modulgruppe \(n\)-ten Grades
- Class fields of abelian extensions of \(\mathbb Q\)
- Siegel's modular forms and the arithmetic of quadratic forms
- Congruences of cusp forms and special values of their zeta functions
- On congruence divisors of cusp forms as factors of the special values of their zeta functions
- A modular construction of unramified p-extensions of \(\mathbb{Q}(\mu_p)\)
- On the Segal-Shale-Weil representations and harmonic polynomials
- On some explicit formulas in the theory of Weil representation
- \(l\)-adic representations associated to modular forms over imaginary quadratic fields. II
- On the anticyclotomic main conjecture for CM fields
- On the critical values of \(L\)-functions of \(GL(2)\) and \(GL(2)\times GL(2)\)
- Inner product formula for Yoshida lifts
- A proof of the refined Gan-Gross-Prasad conjecture for non-endoscopic Yoshida lifts
- Yoshida lifts and Selmer groups
- Critical values of the twisted tensor \(L\)-function in the imaginary quadratic case
- Arithmetic properties of similitude theta lifts from orthogonal to symplectic groups
- Endoscopic transfer for unitary groups and holomorphy of Asai \(L\)-functions
- On \(p\)-adic \(L\)-function associated with cusp forms on \(\mathrm{GL}_2\)
- The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)
- Yoshida lifts and the Bloch-Kato conjecture for the convolution \(L\)-function
- On some results of Atkin and Lehner
- Pullbacks of Saito-Kurokawa lifts
- Some local-global non-vanishing results of theta lifts for symplectic-orthogonal dual pairs
- On Siegel modular forms obtained form theta series.
- On L-functions for GSp(4) X GL(2) and their special values.
- Symplectic Geometry
- Lie groups beyond an introduction
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