2 citations · 2 across the 9 of their papers we have counts for
4 papers · 1 filter
The Riemann hypothesis for certain integrals of Eisenstein series
Jeffrey C. Lagarias, Masatoshi Suzuki
This paper studies the non-holomorphic Eisenstein series E(z,s) for the modular surface, and shows that integration with respect to certain non-negative measures gives meromorphic…
Wild and Wooley Numbers
Jeffrey C. Lagarias
This paper studies the multiplicative semigroup generated by all rationals of the form (3n+2)/(2n+1) for nonnegative integers n, together with 1/2. The subsemigroup of integers in…
The 3x+1 Semigroup
David Applegate, Jeffrey C. Lagarias
The 3x+1 semigroup is the multiplicative semigroup generated by the rational numbers of form (2k+1)/(3k+2) for non-negative k, together with 2. This semigroup encodes backward iter…
A Note on Absolute Derivations and Zeta Functions
Jeffrey C. Lagarias
This comment answers a question raised by Kurokawa, Ochiai and Wakayama whether a certain operator constructed using a notion of quantum non-commutativity of primes has eigenvalues…