WEEKLY ACTIVITIES

EGGS, squares and integer points on hyperelliptic curves
Người báo cáo: Bùi Mạnh Hùng (Đại học Manchester, UK)

Thời gian: 16:30, thứ năm, 25/01/2024

Địa điểm: Phòng 612, Nhà A6

Tóm tắt: Erdos, Graham and Selfridge considered, for each positive integer n, the least value of t_n so that the integers n+1, n+2, ..., n+t_n contain a subset the product of whose members with n is a square. An open problem posed by Granville concerns the size of t_n under the assumption of the ABC Conjecture. We discuss recent work, joint with Kyle Pratt and Alexandru Zaharescu, in which we establish some results on the distribution of t_n, including an unconditional resolution of Granville's problem.

Hình thức: Online qua google meet, cụ thể https://meet.google.com/yep-kbzk-eao?pli=1&authuser=1

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