2 citations · 2 across the 9 of their papers we have counts for
25 papers
Dynamics of a family of piecewise-linear area-preserving plane maps III. Cantor set spectra
Jeffrey C. Lagarias, Eric Rains
This paper studies the behavior under iteration of the maps T_{ab}(x,y) = (F_{ab}(x)- y, x) of the plane R^2, in which F_{ab}(x)= ax if x>0 and bx if x<0. These maps are area-prese…
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…
Area Inequalities for Embedded Disks Spanning Unknotted Curves
Joel Hass, Jeffrey C. Lagarias, William P. Thurston
We show that a smooth unknotted curve in R^3 satisfies an isoperimetric inequality that bounds the area of an embedded disk spanning the curve in terms of two parameters: the lengt…