167 citations · 519 across the 84 of their papers we have counts for
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math.NT2006★ 1 cited
Succinct certificates for solutions to binary quadratic Diophantine equations
J. C. Lagarias
Binary quadratic Diophantine equations are of interest from the viewpoint of computational complexity theory. They contain as special cases many examples of natural problems appara…
math.NT2006★ 44 cited
The 3x+1 Problem: An Annotated Bibliography, II (2000-2009)
Jeffrey C. Lagarias
The 3x+1 problem concerns iteration of the map T(n) =(3n+1)/2 if n odd; n/2 if n even. The 3x +1 Conjecture asserts that for every positive integer n>1 the forward orbit of n inclu…
math.NT2006★ 2 cited
Zero Spacing Distributions for Differenced L-Functions
Jeffrey C. Lagarias
This paper studies the local spacings of deformations of the Riemann zeta function under certain averaging and differencing operations. For real h it considers A_h(s)= 1/2(xi(s+h)+…