Motives and Siegel modular forms

By H. Yoshida. 2001

60 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/be36476eb400373b0544f43a0d003d91b9c98eac

How researchers see this paper

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

In Discrete Mathematics and Combinatorics

1. Gerard van der Geer
2. Michael Harris
3. Don Zagier
4. Jan H. Bruinier
5. Kristian Ranestad
6. A. Raghuram
7. G. Harder
8. H. Grobner

In Geometry and Topology

1. H. Grobner
2. Michael Harris
3. A. Raghuram
4. Don Zagier
5. Jan H. Bruinier
6. Kristian Ranestad
7. Gerard van der Geer
8. G. Harder

In Mathematical Physics

1. H. Grobner
2. Michael Harris
3. Gerard van der Geer
4. A. Raghuram
5. Don Zagier
6. Jan H. Bruinier
7. Kristian Ranestad
8. G. Harder

Citations in the corpus

• Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture (2006, unknown): “Yoshida [36]).”
• On the Special Values of Certain Rankin-Selberg L-Functions and Applications to Odd Symmetric Power L-Functions of Modular Forms (2008, result): “It is possible to express c±(M(Π)⊗M(Σ)) in terms of the periods, or perhaps some other finer invariants, attached to M(Π) and M(Σ), as in Blasius [2] and Yoshida [42].”
• Critical values of Rankin-Selberg L-functions for GL(n) x GL(n-1) and the symmetric cube L-functions for GL(2) (2013, result): “e tensor product M⊗M′, where M and M′ are two pure motives over Q all of whose nonzero Hodge numbers are one, in terms of the periods c± and some other finer invariants attached to M and M′ by Yoshida [48]. These period relations suggest that pǫ(Π) and c±(M(Π)) are two very different kind of periods, ”
• Siegel Modular Forms and Their Applications (2008, methodology): “We end by giving two additional references: the lectures notes by Courtieu and Panchishkin [18] and a paper [103] by Yoshida on motives associated to Siegel modular forms.”
• The 1-2-3 of Modular Forms (2008, methodology): “We end by giving two additional references: the lectures notes by Courtieu and Panchishkin [18] and a paper [103] by Yoshida on motives associated to Siegel modular forms.”
• WHITTAKER PERIODS, MOTIVIC PERIODS, AND SPECIAL VALUES OF TENSOR PRODUCT $L$ -FUNCTIONS (2013, methodology): “See also [43] for calculations of Deligne periods of motives over Q.”