On zeros of approximate functions of the Rankin-Selberg L-functions
Masatoshi Suzuki (2009)
Acta Arithmetica
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Displaying similar documents to “Zeros of the constant term in the Chowla-Selberg formula”
On zeros of approximate functions of the Rankin-Selberg L-functions
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Riemann conjectured that all the zeros of the Riemann ≡-function are real, which is now known as the Riemann Hypothesis (RH). In this article we introduce the study of the zeros of the truncated sums ≡N(z) in Riemann’s uniformly convergent infinite series expansion of ≡(z) involving incomplete gamma functions. We conjecture that when the zeros of ≡N(z) in the first quadrant of the complex plane are listed by increasing real part, their imaginary parts are monotone nondecreasing. We show...
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