Slope of cusp forms and theta series

DOI10.1006/jnth.1999.2501zbMath0957.11025OpenAlexW2105411949MaRDI QIDQ1581873

Riccardo Salvati Manni

Publication date: 1 April 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1999.2501

zbMATH Keywords

theta seriescusp formsextremal lattices

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27)

Related Items (3)

Distinguishing Siegel theta series of degree 4 for the 32-dimensional even unimodular extremal lattices ⋮ An affine open covering of \({\mathcal{M}_g}\) for \(g \leq 5\) ⋮ Modular invariants for genus 3 hyperelliptic curves

Cites Work

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• Lineare Relationen zwischen Darstellungsanzahlen quadratischer Formen
• On Siegel Modular Forms of Degree Three
• Divisor classes associated to families of stable varieties, with applications to the moduli space of curves
• On Jacobi's Derivative Formula and its Generalizations
• Über gerade unimodulare Gitter der Dimension 32, III
• A Siegel cusp form of degree 12 and weight 12
• On the Graded Ring of Theta-Constants
• Modular Forms and Projective Invariants

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