Leírás
Az eloadasban beszamolok J. Lemke Oliver es Soundararajan masfel eve irt nagy meglepetest kelto kozos cikkerol (vazlatosan, egyebkent a bizonyitasok amugyis eros felteteleken es neha heurisztikus sejteseken alapulnak, de jol tukrozik a meglepo empirikus eloszlast a komputerekkel szamolhato tartomanyokban). Idezem a cikk eredeti, arXiv-on megjelent kivonatat:
Robert J. Lemke Oliver, Kannan Soundararajan
While the sequence of primes is very well distributed in the reduced residue classes (mod q), the distribution of pairs of consecutive primes among the permissible ϕ(q)2 pairs of reduced residue classes (mod q) is surprisingly erratic. This paper proposes a conjectural explanation for this phenomenon, based on the Hardy-Littlewood conjectures. The conjectures are then compared to numerical data, and the observed fit is very good.