An Extension of the Linnik Phenomenon
Yoichi Motohashi
TL;DR
This paper extends the Linnik phenomenon, which describes how Siegel zeros influence L-functions, to a broader family of L-functions, enhancing understanding of their distribution and properties.
Contribution
It introduces an extension of the Linnik phenomenon to a wider class of L-functions beyond previous limitations.
Findings
Extended the Linnik phenomenon to a broader family of L-functions
Provided new insights into the distribution of zeros of L-functions
Enhanced theoretical understanding of Siegel zeros' effects
Abstract
The Linnik phenomenon concerning the repelling effect of Siegel's zeros is extended to L-functions in a family wider than hitherto considered.
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Algebra and Geometry · Coding theory and cryptography