Results 141 to 150 of about 630 (179)
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THEOREM ON THE “UNIVERSALITY” OF THE RIEMANN ZETA-FUNCTION
Mathematics of the USSR-Izvestiya, 1975zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the zeros of the Riemann zeta function
Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 2002This paper brings forth estimates of iterated integrals for the classical function \(S(T)\) of analytic number theory, namely \[ S(T) = \tfrac 1\pi\arg\zeta(\tfrac 12+ iT) \] when \(T\) is not equal to any \(\gamma\), where \(\rho = \beta + i\gamma\) denotes generic complex zeros of the Riemann zeta-function \(\zeta(s)\).
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Mathematical Proceedings of the Cambridge Philosophical Society, 1932
It was proved by Littlewood that, for every large positive T, ζ (s) has a zero β + iγ satisfyingwhere A is an absolute constant.
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It was proved by Littlewood that, for every large positive T, ζ (s) has a zero β + iγ satisfyingwhere A is an absolute constant.
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2001
Abstract The theory we presented in Chapter 10 works globally over the adeles by simply taking the product of the local theories for p ≥ η .
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Abstract The theory we presented in Chapter 10 works globally over the adeles by simply taking the product of the local theories for p ≥ η .
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1970
If s is a complex number, with s = σ + it, where σ and t are real, and i2= - 1, the zeta-function of Riemann ζ is defined by the relation $$ \zeta(s)=\sum\limits_{{n =1}}^{\infty}{{n^{{ - s}}}},\quad\sigma >1 $$ (1)
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If s is a complex number, with s = σ + it, where σ and t are real, and i2= - 1, the zeta-function of Riemann ζ is defined by the relation $$ \zeta(s)=\sum\limits_{{n =1}}^{\infty}{{n^{{ - s}}}},\quad\sigma >1 $$ (1)
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Riemann surface of the Riemann zeta function
Journal of Mathematical Analysis and Applications, 2022S Ivashkovich
exaly
A class of approximations to the Riemann zeta function
Journal of Mathematical Analysis and Applications, 2022Maria Nastasescu, Alexandru Zaharescu
exaly
ON THE ZEROS OF THE RIEMANN ZETA FUNCTION
The Quarterly Journal of Mathematics, 1947openaire +1 more source