On zeta functions and families of Siegel modular forms
From MaRDI portal
Publication:2256737
DOI10.1007/s10958-012-0661-2zbMath1345.11034arXiv0709.1645OpenAlexW2161472231MaRDI QIDQ2256737
Publication date: 20 February 2015
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0709.1645
Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) (p)-adic theory, local fields (11F85) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture
- \(p\)-adic Banach modules of arithmetical modular forms and triple products of Coleman's families
- Siegel's modular forms and the arithmetic of quadratic forms
- Motives over totally real fields and \(p\)-adic \(L\)-functions
- \(p\)-adic Banach spaces and families of modular forms
- Siegel modular forms of small weight
- The spin \(L\)-function on the symplectic group GSp(6)
- Non-Archimedean \(L\)-functions and arithmetical Siegel modular forms
- On the cohomology of local systems on the moduli spaces of curves of genus 2 and of abelian surfaces. I
- Two variable \(p\)-adic \(L\) functions attached to eigenfamilies of positive slope
- \(p\)-adic measures attached to Siegel modular forms
- \(L\)-functions on \(GSp_2\times Gl_2\) of mixed weights
- Relations between symmetric power \(L\)-functions and spinor \(L\)-functions attached to Ikeda lifts
- Modular elliptic curves and Fermat's Last Theorem
- Admissible \(p\)-adic measures attached to triple products of elliptic cusp forms
- Introduction to modern number theory. Fundamental problems, ideas and theories. Transl. from the Russian
- On the \(\zeta\)-functions of a division algebra
- Über Modulfunktionen und die Dirichletschen Reihen mit Eulerscher Produktentwicklung. I
- Motives and Siegel modular forms
- SPHERICAL FUNCTIONS FORGLnOVER LOCAL FIELDS, AND SUMMATION OF HECKE SERIES
- Rankin’s Lemma of Higher Genus and Explicit Formulas for Hecke Operators
- NUMERICAL EXAMPLES OF SIEGEL CUSP FORMS OF DEGREEE 3 AND THEIR ZETA-FUNCTIONS
- EULER PRODUCTS CORRESPONDING TO SIEGEL MODULAR FORMS OF GENUS 2
- Indefinite Quadratische Formen und Eulerprodukte
- Several-variable p-adic families of Siegel-Hilbert cusp eigensystems and their Galois representations
- RATIONALITY THEOREMS FOR HECKE SERIES AND ZETA FUNCTIONS OF THE GROUPSGLnandSPnOVER LOCAL FIELDS
- Degree 16 standard 𝐿-function of 𝐺𝑆𝑝(2)×𝐺𝑆𝑝(2)
- ON MODULAR CORRESPONDENCES FOR SP(N, Z ) AND THEIR CONGRUENCE RELATIONS
- On the lifting of elliptic cusp forms to Siegel cusp forms of degree \(2n\)
This page was built for publication: On zeta functions and families of Siegel modular forms