具有正则支的三线性ζ积分测试函数

刘一峰

数学学报 ›› 2024, Vol. 67 ›› Issue (2) : 273-285.

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数学学报 ›› 2024, Vol. 67 ›› Issue (2) : 273-285. DOI: 10.12386/A20220177
论文

具有正则支的三线性ζ积分测试函数

    刘一峰
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Test Functions for Trilinear Zeta Integrals with Regular Support

    Yi Feng LIU
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摘要

本文将证明: 对于最大指数严格小于 1/22 的表示,存在具有正则支的三线性 ζ 积分测试函数.

Abstract

In this note, we confirm a conjecture on the existence of test functions for trilinear zeta integrals with regular support, for representations with maximal exponent strictly less than 1/22.

关键词

三线性 ζ 积分 / 正则支 / Siegel-Eisenstein 序列

Key words

trilinear zeta integrals / regular support / Siegel-Eisenstein series

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刘一峰. 具有正则支的三线性ζ积分测试函数. 数学学报, 2024, 67(2): 273-285 https://doi.org/10.12386/A20220177
Yi Feng LIU. Test Functions for Trilinear Zeta Integrals with Regular Support. Acta Mathematica Sinica, Chinese Series, 2024, 67(2): 273-285 https://doi.org/10.12386/A20220177

参考文献

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