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math.PR2023
The "visible" Wigner matrix
Arup Bose, Soumendu Sundar Mukherjee
We consider the ``visible'' Wigner matrix, a Wigner matrix whose -th entry is coerced to zero if are co-prime. Using a recent result from elementary number theory on…
math.PR2023
On a generalisation of the coupon collector problem
Siva Athreya, Satyaki Mukherjee, Soumendu Sundar Mukherjee
We consider a generalisation of the classical coupon collector problem. We define a super-coupon to be any -subset of a universe of coupons. In each round, a random -subs…