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SUMMARY:Henri Cohen (Université de Bordeaux)
DTSTART:20260127T130000Z
DTEND:20260127T140000Z
DTSTAMP:20260423T021332Z
UID:OWNS/160
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/160/">C
 ontinued Fractions and Irrationality Measures for Chowla-Selberg Gamma Quo
 tients</a>\nby Henri Cohen (Université de Bordeaux) as part of One World 
 Numeration seminar\n\n\nAbstract\nWe give 39 rapidly convergent continued 
 fractions for Chowla--Selberg gamma quotients\, and deduce good irrational
 ity measures for 20 of them\, including for $\\operatorname{CS}(-3)=(\\Gam
 ma(1/3)/\\Gamma(2/3))^3$\, for $a^{1/4}\\operatorname{CS}(-4)=a^{1/4}(\\Ga
 mma(1/4)/\\Gamma(3/4))^2$ with $a=12$ and $a=1/5$\, and for $\\operatornam
 e{CS}(-7)=\\Gamma(1/7)\\Gamma(2/7)\\Gamma(4/7)/(\\Gamma(3/7)\\Gamma(5/7)\\
 Gamma(6/7))$.\nThese appear to be the first proved and reasonable irration
 ality measures for\ngamma quotients.\n
LOCATION:https://researchseminars.org/talk/OWNS/160/
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