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math.NT2014
Congruence properties of Borcherds product exponents
Keenan Monks, Sarah Peluse, Lynnelle Ye
In his striking 1995 paper, Borcherds found an infinite product expansion for certain modular forms with CM divisors. In particular, this applies to the Hilbert class polynomial of…
math.NT2014★ 3 cited
Strings of special primes in arithmetic progressions
Keenan Monks, Sarah Peluse, Lynnelle Ye
The Green-Tao Theorem, one of the most celebrated theorems in modern number theory, states that there exist arbitrarily long arithmetic progressions of prime numbers. In a related…