Exact critical values of the symmetric fourth \(L\) function and vector valued Siegel modular forms
From MaRDI portal
Publication:2445042
DOI10.2969/jmsj/06610139zbMath1291.11087OpenAlexW2014932053MaRDI QIDQ2445042
Tomoyoshi Ibukiyama, Hidenori Katsurada
Publication date: 11 April 2014
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jmsj/1390600840
Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (several variables) (11F60)
Related Items
An explicit formula for the Siegel series of a quadratic form over a non-Archimedean local field ⋮ Differential operators, exact pullback formulas of Eisenstein series, and Laplace transforms ⋮ On algebraicity of special values of symmetric 4-th and 6-th power \(L\)-functions for \(\operatorname{GL}(2)\) ⋮ On Deligne's conjecture for symmetric fourth \(L\)-functions of Hilbert modular forms ⋮ Generic differential operators on Siegel modular forms and special polynomials ⋮ On the standard \(L\)-function for \(\mathrm{GSp}_{2n}\times\mathrm{GL}_1\) and algebraicity of symmetric fourth \(L\)-values for \(\mathrm{GL}_2\) ⋮ On tensor product \(L\)-functions for quaternion unitary groups and \(\mathrm{GL}(2)\) over totally real number fields: mixed weight cases ⋮ Congruence Primes of the Kim–Ramakrishnan–Shahidi Lift ⋮ One-line formula for automorphic differential operators on Siegel modular forms
Cites Work
- A family of Calabi-Yau varieties and potential automorphy. II.
- Some Siegel modular standard \(L\)-values, and Shafarevich-Tate groups
- Special values and mixed weight triple products (with an appendix by Don Blasius)
- An explicit dimension formula for the spaces of generalized automorphic forms with respect to \(\mathrm{Sp}(2, \mathbb Z)\)
- Vector valued Siegel's modular forms of degree two and the associated Andrianov \(L\)-functions
- On Eisenstein series
- Some remarks on triple L-functions
- Über die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen
- On the periods of modular forms
- \(p\)-adic measures attached to Siegel modular forms
- On special values of standard \(L\)-functions attached to vector valued Siegel modular forms.
- Functorial products for \(\text{GL}_2\times \text{GL}_3\) and the symmetric cube for \(\text{GL}_2\).
- On algebraicity of vector valued Siegel modular forms
- Siegel modular forms of genus 2 attached to elliptic curves
- Congruence of Siegel modular forms and special values of their standard zeta functions
- Exact Standard Zeta Values of Siegel Modular Forms
- A conjecture on a Shimura type correspondence for Siegel modular forms, and Harder's conjecture on congruences
- Special Values of Zeta Functions, and Eisenstein Series of Half Integral Weight
- An Explicit Formula for Siegel Series
- Special values of triple product \(L\)-functions and nearly holomorphic Eisenstein series
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
