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A note on entire $L$-functions

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arxiv 1805.01119 v1 pith:QFH5H7JW submitted 2018-05-03 math.NT

classification math.NT
keywords entirefunctionsboundscharactersconstantscriticaldirichletexamples
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abstract

In this paper, we exhibit upper and lower bounds with explicit constants for some objects related to entire $L$-functions in the critical strip, under the generalized Riemann hypothesis. The examples include the entire Dirichlet $L$-functions $L(s,\chi)$ for primitive characters $\chi$.

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