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- W2096759211 abstract "Let fodd(z):= ∑∞ k=1ζ(2k + 1)z2k be the power series with the values of the Riemann ζ function at odd integers as coefficients. This function can be analytically continued to a meromorphic function over C. We prove that 1 and the values of fodd at rational points with relatively prime denominators are linearly independent over ―Q. Some arithmetical properties of the sequence {ζ(2k+1)} k=1 ∞ are deduced." @default.
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- W2096759211 doi "https://doi.org/10.1023/a:1006748126929" @default.
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