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- W4309073583 abstract "Abstract We present generalizations of some results on the integer parts of the reciprocal remainders of the zeta function $zeta (s)$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>ζ</mml:mi> <mml:mo>(</mml:mo> <mml:mi>s</mml:mi> <mml:mo>)</mml:mo> </mml:math> with $s=2$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>s</mml:mi> <mml:mo>=</mml:mo> <mml:mn>2</mml:mn> </mml:math> and $s=3$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>s</mml:mi> <mml:mo>=</mml:mo> <mml:mn>3</mml:mn> </mml:math> , and a very short and elegant proof of a recent result on the integer parts of the reciprocal remainders of the series $zeta (3)$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mi>ζ</mml:mi> <mml:mo>(</mml:mo> <mml:mn>3</mml:mn> <mml:mo>)</mml:mo> </mml:math> . We also give some historical and theoretical remarks to problems of this type, conduct some analyses, and make some connections with the theory of linear difference equations with constant coefficients." @default.
- W4309073583 created "2022-11-21" @default.
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- W4309073583 date "2022-11-11" @default.
- W4309073583 modified "2023-09-30" @default.
- W4309073583 title "On integer parts of the reciprocal remainders of some sums" @default.
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