Sequence spaces M ( ϕ ) $M(\phi)$ and N ( ϕ ) $N(\phi)$ with application in clustering
نویسندگان
چکیده
منابع مشابه
Φ-modules and Coefficient Spaces
We define and study certain moduli stacks of modules equipped with a Frobenius semi-linear endomorphism. These stacks can be thought of as parametrizing the coefficients of a variable Galois representation and are global variants of the spaces of Kisin–Breuil Φ-modules used by Kisin in his study of deformation spaces of local Galois representations. A version of a rigid analytic period map is d...
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متن کاملON COMMON VALUES OF φ(n) AND σ(m), II
For each positive-integer valued arithmetic function f , let Vf ⊂ N denote the image of f , and put Vf (x) := Vf ∩ [1, x] and Vf (x) := #Vf (x). Recently Ford, Luca, and Pomerance showed that Vφ ∩ Vσ is infinite, where φ denotes Euler’s totient function and σ is the usual sum-of-divisors function. Work of Ford shows that Vφ(x) ≍ Vσ(x) as x → ∞. Here we prove a result complementary to that of Fo...
متن کاملON COMMON VALUES OF φ(n) AND σ(m), I
We show, conditional on a uniform version of the prime k-tuples conjecture, that there are x/(log x) numbers not exceeding x common to the ranges of φ and σ. Here φ is Euler’s totient function and σ is the sum-of-divisors function.
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2017
ISSN: 1029-242X
DOI: 10.1186/s13660-017-1333-z