3 citations · 3 across the 3 of their papers we have counts for
3 papers
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…
math.DS2012
Strongly sufficient sets and the distribution of arithmetic sequences in the 3x+1 graph
Keenan Monks, Kenneth G. Monks, Kenneth M. Monks +1
The 3x+1 Conjecture asserts that the T-orbit of every positive integer contains 1, where T maps x\mapsto x/2 for x even and x\mapsto (3x+1)/2 for x odd. A set S of positive integer…