Errata and Addenda to Mathematical Constants

Abstract

We humbly and briefly offer corrections and supplements to Mathematical Constants (2003) and Mathematical Constants II (2019), both published by Cambridge University Press. Comments are always welcome.

168 pages

References in corpus (76)

• Typical random 3-SAT formulae and the satisfiability threshold
• An introduction to the dimer model
• Bootstrap percolation in three dimensions
• The enumeration of simple permutations
• Unified Solution of the Expected Maximum of a Random Walk and the Discrete Flux to a Spherical Trap
• Pseudorandom Number Generators and the Square Site Percolation Threshold
• The generalized-Euler-constant function $\gamma (z)$ and a generalization of Somos's quadratic recurrence constant
• Limiting distributions for additive functionals on Catalan trees
• Fractal analysis for sets of non-differentiability of Minkowski's question mark function
• Rounding of continuous random variables and oscillatory asymptotics
• Some Exact Results for Spanning Trees on Lattices
• Random trimer tilings
• The density of rational points on Cayley's cubic surface
• On the Generalized Poisson Distribution
• Rigorous confidence intervals for critical probabilities
• Complementary algorithms for graphs and percolation
• The high-temperature expansions of the higher susceptibilities for the Ising model in general dimension d
• The Pfaffian solution of a dimer-monomer problem: Single monomer on the boundary
• Yang-Lee edge singularities from extended activity expansions of the dimer density for bipartite lattices of dimensionality 2 <= d <= 7
• Upper bound on the packing density of regular tetrahedra and octahedra
• On the minimal travel time needed to collect n items on a circle
• Approximating the monomer-dimer constants through matrix permanent
• The Minkowski question mark function: explicit series for the dyadic period function and moments
• On the average number of elements in a finite field with order or index in a prescribed residue class
• Validations of the Asymptotic Matching Conjectures
• Mertens' Proof of Mertens' Theorem
• A densest compact planar packing with two sizes of discs
• A few equalities involving integrals of the logarithm of the Riemann zeta-function and equivalent to the Riemann hypothesis II
• Series of Reciprocal Powers of k-almost Primes
• Pairwise Relative Primality of Positive Integers
• The difference between two Stieltjes constants
• On linear forms containing the Euler constant
• The number of cycles of specified normalized length in permutations
• On the regular sum-free sets
• The distribution function of the distance between two random points in a right-angled triangle
• An elementary proof of uniqueness of Markoff numbers which are prime powers
• The 2-page crossing number of $K_n$
• Turan's problem 10 revisited
• Odd Entries in Pascal's Trinomial Triangle
• On the Reinhardt Conjecture
• Schanuel's conjecture and algebraic powers z^w and w^z with z and w transcendental
• On $k$-noncrossing partitions
• Two-Dimensional Analogs of the Minkowski ?(x) Function
• Primes in intervals of bounded length
• Feynman's sunshine numbers
• Results and conjectures related to a conjecture of Erdős concerning primitive sequences
• Elastic energy of a convex body
• On the number of pairs of positive integers $x,y\le H$ such that $x^2+y^2+1$ is squarefree
• The regularized product of the Fibonacci numbers
• A lower bound on opaque sets
• Typical Dispersion and Generalized Lyapunov Exponents
• Resolving Conflicts and Electing Leaders
• On the derivative of the Minkowski question mark function $?(x)$
• A Variation on Mills-Like Prime-Representing Functions
• An Improved Lower Bound for Moser's Worm Problem
• Mean value one of prime-pair constants
• When only the last one will do
• Tightly Circumscribed Regular Polygons
• Delange's Tauberian theorem and asymptotic normality of random ordered factorizations of integers
• The variance of the Euler totient function
• The prime analog of the Kepler-Bouwkamp constant
• On a Detail in Hales's "Dense Sphere Packings: A Blueprint for Formal Proofs"
• A Generalization of the Gauss-Kuzmin-Wirsing constant
• Univalence criteria and analogs of the John constant
• The Reinhardt Conjecture as an Optimal Control Problem
• Sums of three squareful numbers
• Longest common subsequences and the Bernoulli matching model: numerical work and analyses of the r-reach simplification
• A note on the number of abelian groups of a given order
• Diophantine problems related to the Omega constant
• 3--symmetric and 3--decomposable drawings of $K_n$ (extended version)
• On the mean square of the error term for the two-dimensional divisor problems(II)
• A Proof on Hypothesis of Dirichlet Divisor Problem
• More Infinite Products: Thue-Morse and the Gamma function
• Where do the maximum absolute $q$-series coefficients of $(1-q)(1-q^2)(1-q^3)\dots (1-q^{n-1})(1-q^n)$ occur?
• Summation of rational series twisted by strongly B-multiplicative coefficients
• A Cameron and Erdös conjecture on counting primitive sets