Atelier sur l'anatomie des nombres entiers
Workshop on Anatomy of Integers
13 - 17 mars 2006
March 13-17, 2006
PROGRAMME
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09:00 - 09:25
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Inscription (Salle 5345) et café (Salle 6245) Registration (Room 5345) and Coffee (Room 6245) |
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09:30 - 09:45
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Mot de bienvenue / Welcoming Address | |
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09:45 - 10:45 |
Dan Goldston (San Jose State University) Small Prime Gaps: From the Riemann Zeta Function and Pair Correlation to the Circle Method |
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10:45 - 11:15
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Pause café / Coffee Break (Salle / Room 6245) | |
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11:15 - 12:15 |
Carl Pomerance (Dartmouth College) Anatomy of Euler's function and its friends |
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Déjeuner / Lunch time
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Déjeuner / Lunch time | |
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14:30 - 14:55
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Antal Balog (Alfréd Rényi Institute of Mathematics) On smooth twins |
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15:00 - 15:25
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Valentin Blomer (University of Toronto) Sums of smooth squares |
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15:30 - 16:00
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Pause café / Coffee Break (Salle / Room 6245) | |
| 16:00 - 16:25 | Florian Luca (UNAM) Compositions with the Euler and Carmichael Functions |
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| 16:30 - 17:30 | Ernest S. Croot (Georgia Tech) The Inventory Capacity Problem |
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| 17:30 | Réception de bienvenue / Welcoming reception | |
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09:00
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Café / Coffee (Salle / Room 6245) | |
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09:30 - 10:30 |
Kevin Ford (University of Illinois, Urbana-Champaign) How to count numbers with a divisor in a given interval: main ideas |
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10:30 - 11:00
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Pause café / Coffee break (Salle / Room 6245) | |
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11:00 - 12:00
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K. Soundararajan (University of Michigan) Pretentious characters and the Polya-Vinogradov theorem |
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Déjeuner / Lunch time |
Déjeuner / Lunch time | |
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14:15 - 14:40
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John Friedlander (University of Toronto) A polynomial divisor problem |
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14:45 - 15:10
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Trevor Wooley (University of Michigan) Smooth numbers and the circle method |
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15:15- 15:45
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Pause café / Coffee Break (Salle / Room 6245) | |
| 15:45 - 16:10 | Cameron L. Stewart (University of Waterloo) On pure powers in short intervals |
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| 16:15 - 17:15 | Harald Andres Helfgott (Université de Montréal) Power-free values, points on curves, large deviations and modularity |
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| 17:20 - 18:00 | Bière et vin / Wine and beer gathering (Salle / Room 6245) | |
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09:00
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Café / Coffee (Salle / Room 6245) | |
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09:30 - 10:30
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Jean-Louis Nicolas (Université Claude Bernard Lyon 1) Parity of the values of the partition function and anatomy of integers |
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10:30 - 11:00
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Pause café / Coffee Break (Salle / Room 6245) | |
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11:00 - 12:00 |
Dan Goldston (San Jose State University) Small Prime Gaps: Short Divisor Sums, Correlations, and Moments |
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Déjeuner / Lunch time
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Déjeuner / Lunch time | |
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14:15 - 14:40
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Yu-Ru Liu (University of Waterloo) On Erdös-Pomerance's conjecture for the Carlitz module |
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14:45 - 15:10
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Rizwan Khan (University of Michigan) On the consecutive spacing distribution of normal numbers |
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15:15 - 15:45
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Pause café / Coffee Break (Salle / Room 6245) | |
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15:45 - 16:00
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Youness Lamzouri (Université de Montréal) Smooth numbers and delayed integral equations |
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| 16:05 - 17:05 | Jie Wu (Université Henri Pointcaré [Nancy 1]) Moyennes de certaines fonctions arithmetiques sur les entiers friables |
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| 17:10 - 18:00 | Bière et vin / Wine and beer gathering (Salle / Room 6245) | |
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09:00
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Café / Coffee (Salle / Room 6245) | |
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09:30 - 10:30
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Dan Goldston (San Jose State University) Small Prime Gaps: Tuples Approximations, Selberg Sieve, and Almost Primes |
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10:30 - 11:00
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Pause café / Coffee Break (Salle / Room 6245) | |
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11:00 - 12:00
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Kevin Ford (University of Illinois, Urbana-Champaign) Fat subset sums, clump detection and avoidance |
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Déjeuner / Lunch Time |
Déjeuner / Lunch Time | |
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14:15 - 14:30
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Jan Cannizzo (Stevens Institute of Technology) Proof of a Conjecture by Wolke and Related Properties of the Divisor Function |
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14:35 - 14:50
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Gagan Garg (Indian Institute of Science) Analysis of the lattice sieve |
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14:55 - 15:10
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Ariane Masuda (Carleton University) Sequences of consecutive smooth polynomials over a finite field |
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| 15:15 - 15:45 | Pause café / Coffee Break (Salle / Room 6245) | |
| 15:45 - 16:10 | Cécile Dartyge (Université Henri Pointcaré (Nancy 1) Congruences for the sum of digits of polynomial values |
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| 16:15 - 17:15 | K. Soundararajan (University of Michigan) Distribution of smooth numbers |
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| 17:20 - 18:00 | Bière et vin / Wine and beer gathering *(Salle / Room 4361)* | |
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09:00
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Café / Coffee (Salle / Room 6245) | |
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09:30 - 10:30 |
Régis de la Breteche (Université Paris-Sud) A Turan-Kubilius inequality for friable integers, with applications |
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10:30 - 11:00
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Pause café / Coffee Break (Salle / Room 6245) | |
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11:00 - 12:00 |
Kevin Ford (University of Illinois, Urbana-Champaign) Prime divisors, order statistics and random walks |
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Déjeuner / Lunch Time
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Déjeuner / Lunch Time | |
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14:15 - 14:40
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Elie Mosaki (Institut Camille Jordan, Université de Lyon) Partitions without small parts |
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14:45 - 15:10
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Greg Martin (University of British Columbia) Smooth values of polynomials |
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| 15:15 - 15:45 | Pause café / Coffee Break (Salle / Room 6245) | |
| 15:45 - 16:10 | William Banks (University of Missouri) Integers without divisors from a fixed arithmetic progression |
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| 16:15 - 16:40 | Sergei Konyagin (Moscow State University) Sieving by large moduli |
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| 16:45 - 17:10 | Andrew Granville (Université de Montréal) Square products |
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| 17:20 - 18:00 | Bière et vin / Beer and wine gathering (Salle / Room 6245) | |