5 citations · 6 across the 3 of their papers we have counts for
3 papers
math.NT2019
Cotangent sums, quantum modular forms, and the generalized Riemann hypothesis
John Lewis, Don Zagier
We show that an asymptotic property of the determinants of certain matrices whose entries are finite sums of cotangents with rational arguments is equivalent to the GRH for odd Dir…
math.GT2018★ 5 cited
Asymptotics of Nahm sums at roots of unity
Stavros Garoufalidis, Don Zagier
We give a formula for the radial asymptotics to all orders of the special -hypergeometric series known as Nahm sums at complex roots of unity. This result is used in~\cite{CGZ}…
math.NT2010★ 1 cited
On a curious property of Bell numbers
Zhi-Wei Sun, Don Zagier
In this paper we derive congruences expressing Bell numbers and derangement numbers in terms of each other modulo any prime.