On complex zeros off the critical line for non-monomial polynomial of zeta-functions

In this paper, we show that any polynomial of zeta or L -functions with some conditions has infinitely many complex zeros off the critical line. This general result has abundant applications. By using the main result, we prove that the zeta-functions associated to symmetric matrices treated by Ibuki...

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Veröffentlicht in:	Mathematische Zeitschrift 2016-10, Vol.284 (1-2), p.23-39, Article 23
Hauptverfasser:	Nakamura, Takashi, Pańkowski, Łukasz
Format:	Artikel
Sprache:	eng
Schlagworte:	Functions (mathematics) Hypotheses Mathematical analysis Mathematics Mathematics and Statistics Matrix methods Polynomials
Online-Zugang:	Volltext
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