Jacobi forms of indefinite lattice index

Shaul Zemel

doi:10.1007/s40993-021-00288-4

Jacobi forms of indefinite lattice index

Shaul Zemel

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

Abstract

We define Jacobi forms of indefinite lattice index, and show that they are isomorphic to vector-valued modular forms also in this setting. We also consider several operations of the two types of objects, and obtain an interesting bilinear map between vector-valued modular forms arising from the product operation.

Original language	English
Article number	58
Journal	Research in Number Theory
Volume	7
Issue number	4
DOIs	https://doi.org/10.1007/s40993-021-00288-4
State	Published - Dec 2021

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1007/s40993-021-00288-4

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title = "Jacobi forms of indefinite lattice index",

abstract = "We define Jacobi forms of indefinite lattice index, and show that they are isomorphic to vector-valued modular forms also in this setting. We also consider several operations of the two types of objects, and obtain an interesting bilinear map between vector-valued modular forms arising from the product operation.",

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year = "2021",

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AB - We define Jacobi forms of indefinite lattice index, and show that they are isomorphic to vector-valued modular forms also in this setting. We also consider several operations of the two types of objects, and obtain an interesting bilinear map between vector-valued modular forms arising from the product operation.

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DO - 10.1007/s40993-021-00288-4

M3 - مقالة

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VL - 7

JO - Research in Number Theory

JF - Research in Number Theory

IS - 4

M1 - 58

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Jacobi forms of indefinite lattice index

Abstract

All Science Journal Classification (ASJC) codes

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