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Research Problem
Authors:Shih-Ping Chan  Mong-Lung Lang  Chong-Hai Lim  Ser-Peow Tan
Institution:  a Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore, Republic of Singapore
Abstract:We define an arithmetic invariant for the congruence subgroups Γ0(N), denoted by

b0(N)) and pose the problem of finding good asymptotic upper bonds for b0(N)) as N approaches X especially when N is prime or the product of two (not necessarily distinct) primes.
Keywords:
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