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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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THE RIEMANN ZETA-FUNCTION The Theory of the Riemann Zeta-Function with Applications
Bulletin of the London Mathematical Society, 1986openaire +2 more sources
2011
Riemann zeta function represents an important tool in analytical number theory with various applications in quantum mechanics, probability theory and statistics. First introduced by Bernhard Riemann in 1859, zeta function is a central object of many outstanding problems.
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Riemann zeta function represents an important tool in analytical number theory with various applications in quantum mechanics, probability theory and statistics. First introduced by Bernhard Riemann in 1859, zeta function is a central object of many outstanding problems.
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More than two fifths of the zeros of the Riemann zeta function are on the critical line.
, 1989W. Gruyter
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Distribution modulo 1 and the discrete universality of the Riemann zeta-function
, 2016A. Dubickas, A. Laurinčikas
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