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math.NT2012★ 8 cited
Any non-monomial polynomial of the Riemann zeta-function has complex zeros off the critical line
Takashi Nakamura, Łukasz Pańkowski
In this paper, we show that any polynomial of zeta or -functions with some conditions has infinitely many complex zeros off the critical line. This general result has abundant a…
math.NT2012
Corrigendum for "The generalized strong recurrence for non-zero rational parameters" Archiv der Mathematik 95 (2010), 549-555
Takashi Nakamura, Łukasz Pańkowski
In the present paper, we prove that self-approximation of with is equivalent to the Riemann Hypothesis. Next, we show self-approximation of with respe…