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A note on the zeros of approximations of the Ramanujan $$\Xi $$-function
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AbstractIn this paper we review the study of the distribution of the zeros of certain approximations for the Ramanujan $$\Xi $$
Ξ
-function given by Ki (Ramanujan J 17(1):123–143, 2008), and we provide new proofs of his results. Our approach is motivated by the ideas of Velásquez (J Anal Math 110:67–127, 2010) in the study of the zeros of certain sums of entire functions with some condition of stability related to the Hermite–Biehler theorem.
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Title: A note on the zeros of approximations of the Ramanujan $$\Xi $$-function
Description:
AbstractIn this paper we review the study of the distribution of the zeros of certain approximations for the Ramanujan $$\Xi $$
Ξ
-function given by Ki (Ramanujan J 17(1):123–143, 2008), and we provide new proofs of his results.
Our approach is motivated by the ideas of Velásquez (J Anal Math 110:67–127, 2010) in the study of the zeros of certain sums of entire functions with some condition of stability related to the Hermite–Biehler theorem.
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