Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture

By Tamotsu Ikeda. 2006

96 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/b015e6c645116cad3ac741d1a993407b7fb760a9

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. Carel Faber
4. Jonas Bergström
5. Don Zagier
6. Jan H. Bruinier
7. Kristian Ranestad
8. G. Harder

In Geometry and Topology

1. Atsushi Ichino
2. Gerard van der Geer
3. Carel Faber
4. Jonas Bergström
5. Jan H. Bruinier
6. Don Zagier
7. Kristian Ranestad
8. G. Harder

In Mathematical Physics

1. Gerard van der Geer
2. Atsushi Ichino
3. Carel Faber
4. Jonas Bergström
5. Don Zagier
6. Tamotsu Ikeda
7. Jan H. Bruinier
8. Kristian Ranestad

Citations in the corpus

• Siegel modular forms of degree three and the cohomology of local systems (2011, background): “This congruence was formulated in the scalar-valued case (generalized to any Miyawaki-Ikeda lift) by Katsurada, [38].”
• Pullbacks of Saito-Kurokawa lifts (2005, result): “Remark 2.2. Theorem 2.1 is compatible with Ikeda’s conjecture [ 30 ] and the Gross-Prasad conjecture [22], [23], [8], [27, §8].”
• On the lifting of hermitian modular forms (2008, methodology): “As in Ikeda [10], we can give a conjecture on the Petersson norm of Lift(f).”
• The 1-2-3 of Modular Forms (2008, background): “In [58] Ikeda constructs a lifting from Siegel modular cusp forms of degree r to Siegel cusp forms of degree r+2n.”
• Siegel Modular Forms and Their Applications (2008, background): “In [58] Ikeda constructs a lifting from Siegel modular cusp forms of degree r to Siegel cusp forms of degree r+2n.”