Infinite families of divisibility properties modulo 4 for non-squashing partitions into distinct parts.
Infinite families of noncototients
For any positive integer let ϕ(n) be the Euler function of n. A positive integer is called a noncototient if the equation x-ϕ(x)=n has no solution x. In this note, we give a sufficient condition on a positive integer k such that the geometrical progression consists entirely of noncototients. We then use computations to detect seven such positive integers k.
Infinite Hilbert 2-class field tower of quadratic number fields
Infinite product representations in complex quadratic fields
Infinite products over hyperpyramid lattices.
Infinite products over visible lattice points.
Infinite rank of elliptic curves over
If E is an elliptic curve defined over a quadratic field K, and the j-invariant of E is not 0 or 1728, then has infinite rank. If E is an elliptic curve in Legendre form, y² = x(x-1)(x-λ), where ℚ(λ) is a cubic field, then has infinite rank. If λ ∈ K has a minimal polynomial P(x) of degree 4 and v² = P(u) is an elliptic curve of positive rank over ℚ, we prove that y² = x(x-1)(x-λ) has infinite rank over .
Infinite series identities from modular transformation formulas that stem from generalized Eisenstein series
Infinite sets of integers whose distinct elements do not sum to a power.
Infinite sets of positive integers whose sums are free of powers.
Infinite sums as linear combinations of polygamma functions
Infinitely often dense bases for the integers with a prescribed representation function.
Infinitely ramified Galois representations.
Infinitude of Wilson primes for
Inflationary tilings with a similarity structure.
Influence of modeling structure in probabilistic sequential decision problems
Markov Decision Processes (MDPs) are a classical framework for stochastic sequential decision problems, based on an enumerated state space representation. More compact and structured representations have been proposed: factorization techniques use state variables representations, while decomposition techniques are based on a partition of the state space into sub-regions and take advantage of the resulting structure of the state transition graph. We use a family of probabilistic exploration-like...
Ingham Tauberian theorem with an estimate for the error term.
Inhomogene Minima von Sternkörpern.
Inhomogeneous approximation with coprime integers and lattice orbits
Inhomogeneous Diophantine approximation on integer polynomials with non-monotonic error function
We prove that the Lebesgue measure of the set of real points which are inhomogeneously Ψ-approximable by polynomials, where Ψ is not necessarily monotonic, is zero.