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Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines

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Suzuki M.

Acta Arithmetica

2015

tom 170

nr 1

47-65

We show that the density functions of nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines are described by the M-function which appears in value distribution of the logarithmic derivative of the Riemann zeta-function on vertical lines.

A family of deformations of the Riemann xi-function

100%

Suzuki M.

Acta Arithmetica

2013

tom 157

nr 3

201-230

We introduce a family of deformations of the Riemann xi-function endowed with two continuous parameters. We show that it has rich analytic structure and that its conjectural (mild) zero-free region for some fixed parameter is a sufficient condition for the Riemann hypothesis to hold for the Riemann zeta function.

On zeros of approximate functions of the Rankin-Selberg L-functions

100%

Suzuki M.

Acta Arithmetica

2009

tom 136

nr 1

19-45

Ograniczanie wyników

3 Acta Arithmetica

3 Suzuki M.

1 2015

1 2013

1 2009

Wyniki wyszukiwania

Nearest neighbor spacing distributions for the zeros of the real or imaginary part of the Riemann xi-function on vertical lines

A family of deformations of the Riemann xi-function

On zeros of approximate functions of the Rankin-Selberg L-functions