Transcendence of the Carlitz–Goss Gamma Function at Rational Arguments
نویسندگان
چکیده
منابع مشابه
On the possible exceptions for the transcendence of the log-gamma function at rational values and its consequences for the transcendence of log π and π e
In a recent work published in this journal [JNT 129, 2154 (2009)], it has been argued that the numbers log Γ(x) + log Γ(1− x), x being a rational number between 0 and 1, are transcendental with at most one possible exception, but the proof presented there is incorrect. Here in this paper, I point out the mistake committed in that proof and I present a theorem that establishes the transcendence ...
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Article history: Received 4 April 2013 Available online 6 June 2013 Communicated by Leonard L. Scott, Jr. MSC: 34M15 34M03 12H20 35A24 33B20 20H20 37K20
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1996
ISSN: 0022-314X
DOI: 10.1006/jnth.1996.0126