Linear independence criteria for generalized polylogarithms with distinct shifts
نویسندگان
چکیده
For a given rational number $x$ and an integer $s\geq 1$, consider generalized polylogarithmic function, often called the Lerch defined by $$\Phi _{s}(x,z)= \sum _{k=0}^{\infty }\frac{z^{k+1}}{(k+x+1)^s}.$$ We prove linear independence
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2022
ISSN: ['0065-1036', '1730-6264']
DOI: https://doi.org/10.4064/aa220307-18-10