On theta series attached to maximal lattices and their adjoints

2009/09/07 by Siegfried Boecherer, Boecherer, Siegfried, Gabriele Nebe +1
Mathematics · #11F11 #11F33 #11H31 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0909.1184

openalex publication_date 2009/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The space spanned by theta series of adjoints of maximal even lattices of exact level N and determinant N² has the Weierstrass property and hence allows to define extremality for arbitrary squarefree level N. We find examples of such dual extremal lattices.

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