A Note on Link Complements and Arithmetic Groups.
A note on minimal zero-sum sequences over ℤ
A zero-sum sequence over ℤ is a sequence with terms in ℤ that sum to 0. It is called minimal if it does not contain a proper zero-sum subsequence. Consider a minimal zero-sum sequence over ℤ with positive terms and negative terms . We prove that h ≤ ⌊σ⁺/k⌋ and k ≤ ⌊σ⁺/h⌋, where . These bounds are tight and improve upon previous results. We also show a natural partial order structure on the collection of all minimal zero-sum sequences over the set i∈ ℤ : -n ≤ i ≤ n for any positive integer n.
A Note on Moments of Zeta'(1/2+i Gamma)
A note on moments of .
A note on multiplicatively e-perfect numbers.
A note on Narayana triangles and related polynomials, Riordan arrays, and MIMO capacity calculations.
A note on nested sums.
A note on Nörlund-type twisted -Euler polynomials and numbers of higher order associated with fermionic invariant -integrals.
A note on normal and power bases
A note on normal bases of ideals
A note on numbers with a large prime factor III
A note on numbers with good factorization properties
A note on p-adic valuations of Schenker sums
A prime number p is called a Schenker prime if there exists n ∈ ℕ₊ such that p∤n and p|aₙ, where is a so-called Schenker sum. T. Amdeberhan, D. Callan and V. Moll formulated two conjectures concerning p-adic valuations of aₙ when p is a Schenker prime. In particular, they conjectured that for each k ∈ ℕ₊ there exists a unique positive integer such that for each nonnegative integer m. We prove that for every k ∈ ℕ₊ the inequality v₅(aₙ) ≥ k has exactly one solution modulo . This confirms the...
A note on palindromic delta-vectors for certain rational polytopes.
A note on partitions and compositions defined by inequalities.
A note on perfect powers of the form
A note on perfect totient numbers.
A note on polynomial cycles
A note on power series representations in local fields
A Note on prime k-th power nonresidues.