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

By Tamotsu Ikeda. 2001

198 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/682b8a77775cd8bba0c4b7e098e294e279d05d7d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Gerard van der Geer
2. Atsushi Ichino
3. Don Zagier
4. Jan H. Bruinier
5. Kristian Ranestad
6. G. Harder
7. Ken Ichi Ono
8. A. Libgober

In Geometry and Topology

1. Atsushi Ichino
2. Gerard van der Geer
3. Jan H. Bruinier
4. Don Zagier
5. Kristian Ranestad
6. G. Harder
7. Tamotsu Ikeda
8. Wei Zhang

In Mathematical Physics

1. Gerard van der Geer
2. Atsushi Ichino
3. Don Zagier
4. Tamotsu Ikeda
5. Jan H. Bruinier
6. Kristian Ranestad
7. G. Harder
8. Wei Zhang

Citations in the corpus

• Siegel Modular Forms and Their Applications (2008, background): “Then Ikeda generalized the Saito-Kurokawa lift of modular forms from one variable to Siegel modular forms of degree 2 in [57] in 1999 under the condition that g ≡ k (mod2) to a lifting from an eigenform f ∈ S2k(Γ1) to an eigenform F ∈ Sg+k(Γ2g) such that the standard zeta function of F is given in t”
• On the lifting of hermitian modular forms (2008, methodology): “As in [9], we have to prove the following lemma.”
• Zagier-type dualities and lifting maps for harmonic Maass–Jacobi forms (2010, unknown): “1 of [15] implies that”
• Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture (2006, methodology): “It seems that one needs an analogue of the lifting [18] such that the infinite part of the automorphic representation generated by the lifting is a cohomological induction from non-compact unitary group, to solve this conjecture.”
• The 1-2-3 of Modular Forms (2008, background): “Then Ikeda generalized the Saito-Kurokawa lift of modular forms from one variable to Siegel modular forms of degree 2 in [57] in 1999 under the condition that g ≡ k (mod2) to a lifting from an eigenform f ∈ S2k(Γ1) to an eigenform F ∈ Sg+k(Γ2g) such that the standard zeta function of F is given in t”
• Pullbacks of Saito-Kurokawa lifts (2005, methodology): “For example, Ikeda [30] gave a conjectural formula for pullbacks of Ikeda lifts [29] in terms of critical values of L-functions for Spn ×GL2.”