Sturm bounds for Siegel modular forms

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This article establishes Sturm bounds for degree g Siegel modular forms modulo a prime p, which are vital for explicit computations. This includes an inductive proof that exploits Fourier-Jacobi expansions of Siegel modular forms and properties of specializations of Jacobi forms to torsion points.

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8 p.

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Richter, Olav K. & Westerholt-Raum, Martin February 2, 2015.

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Description

This article establishes Sturm bounds for degree g Siegel modular forms modulo a prime p, which are vital for explicit computations. This includes an inductive proof that exploits Fourier-Jacobi expansions of Siegel modular forms and properties of specializations of Jacobi forms to torsion points.

Physical Description

8 p.

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  • Research in Number Theory, 2015. New York, NY: Springer

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Publication Information

  • Publication Title: Research in Number Theory
  • Volume: 1
  • Issue: 5
  • Pages: 1-8
  • Peer Reviewed: Yes

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UNT Scholarly Works

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  • February 2, 2015

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  • March 15, 2017, 12:42 p.m.

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Richter, Olav K. & Westerholt-Raum, Martin. Sturm bounds for Siegel modular forms, article, February 2, 2015; New York, NY. (digital.library.unt.edu/ark:/67531/metadc958745/: accessed October 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.