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UID:7781@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160621T110000
DTEND;TZID=Europe/Paris:20160621T120000
DTSTAMP:20241120T204829Z
URL:https://www.i2m.univ-amu.fr/evenements/power-values-of-sums-of-product
 s-of-consecutive-integers/
SUMMARY:Shanta Laishram (Indian Statistical Institute (ISI)\, Delhi Centre\
 , New Delhi\, India): Power values of sums of products of consecutive inte
 gers
DESCRIPTION:Shanta Laishram: The sum or the product of consecutive integers
  being a perfect power is well understood. However the question of sums of
  products of consecutive integers being a perfect power is a much more dif
 ficult problem. In this talk\, we investigate this problem and give genera
 l finiteness results. Also\, we give all solutions when the terms in the p
 roduct considered is at most ten. The proof involves a combination of diff
 erent techniques\, ranging from linear forms in logarithms of algebraic nu
 mbers\, Runge's method\, computing integral points on curves among others.
  This is a joint work with Hajdu and Tengely of University of Debrecen\, H
 ungary.\n\nhttp://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.707.143
 \n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Shanta_Laishram.jpg
CATEGORIES:Séminaire,Ernest
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DTSTART:20160327T030000
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