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SUMMARY:Average orders of Goldbach representations in Arithmetic Progressi
ons
DTSTART:20241007T120000Z
DTEND:20241007T130000Z
DTSTAMP:20241105T190700Z
UID:indico-event-12590@indico.math.cnrs.fr
CONTACT:regis.de-la-breteche@imj-prg.fr
DESCRIPTION:Speakers: Thi Thu Nguyen (Université de Lille)\n\nThe Goldbac
h conjecture is one of the oldest open problems today. In the original pro
blem\, we already know some results on the average orders of Goldbach repr
esentations\, e.g.\, the asymptotic formula\, omega-results\, and the rela
tion to the Riemann Hypothesis. We now consider this problem in arithmetic
progressions. Some results are known under special conditions (Generalize
d Riemann Hypothesis with real zeros) or in arithmetic progressions with a
common modulus. In this talk\, we will prove an asymptotic formula and an
omega-result on the average orders of Goldbach representations of an inte
ger as the sum of two primes in different arithmetic progressions.\n\nhttp
s://indico.math.cnrs.fr/event/12590/
LOCATION:Salle Grisvard\, IHP\, Paris
URL:https://indico.math.cnrs.fr/event/12590/
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