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SUMMARY:Pascal Jelinek (Montanuniversität Leoben)
DTSTART:20260224T130000Z
DTEND:20260224T140000Z
DTSTAMP:20260423T021403Z
UID:OWNS/162
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/162/">R
 atio of sum of digits functions in two bases</a>\nby Pascal Jelinek (Monta
 nuniversität Leoben) as part of One World Numeration seminar\n\n\nAbstrac
 t\nIn 2019 La Bretèche\, Stoll and Tenenbaum showed that the ratio of the
  sum of digits function $s_p(n)/s_q(n)$ of two multiplicatively independen
 t bases $p$ and $q$ is dense in $\\mathbb{Q}^+$. Spiegelhofer proved that 
 when $p = 2$ and $q = 3$\, the ratio 1 is attained infinitely many times\,
  which he extended jointly with Drmota to arbitrary values in $\\mathbb{Q}
 ^+$. In this talk\, I generalize this result further\, showing that for tw
 o arbitrary multiplicatively independent bases\, $s_p(n)/s_q(n)$ attains e
 very value in $\\mathbb{Q}^+$ infinitely many times.\n
LOCATION:https://researchseminars.org/talk/OWNS/162/
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