Results 21 to 30 of about 2,275,501 (283)
Lietuvos Matematikos Rinkinys, 2008 The sequence of generalized prime numbers q0 = 1, qn = pkn+1 -1, n ∈ N, and the corresponding zeta-function Zk(s) = \prodp>2( 1 - (pk - 1)-s)-1 , s = σ + it, are analyzed.
Eugenijus Stankus
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Along the Lines of Nonadditive Entropies: q-Prime Numbers and q-Zeta Functions
Entropy, 2021 The rich history of prime numbers includes great names such as Euclid, who first analytically studied the prime numbers and proved that there is an infinite number of them, Euler, who introduced the function ζ(s)≡∑n=1∞n−s=∏pprime11−p−s, Gauss, who ...
Ernesto P. Borges +2 more
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The Noether numbers for cyclic groups of prime order [PDF]
, 2006 The Noether number of a representation is the largest degree of an element in a minimal homogeneous generating set for the corresponding ring of invariants.
Woodcock, Chris F. +7 more
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On General Prime Number Theorems with Remainder [PDF]
, 2017 15 ...
Debruyne, Gregory, Vindas Diaz, Jasson
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A recurrence formula for prime numbers using the Smarandache or Totient functions [PDF]
, 2001 In this paper we report a recurrence formula to obtain the n-th prime in terms of (n-l)th prime and as a function of Smarandache or Totient ...
Russo, Felice
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The Palindrome Concept and Its Applications to Prime Numbers [PDF]
, 2006 This article originates from a proposal by M. L. Perez of American Research Press to carry out a study on Smarandache generalized palindromes [1]. The prime numbers were chosen as a rst set of numbers to apply the development of ideas and computer ...
Ibstedt, H.
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Generalization of the Lehmer problem over incomplete intervals
Journal of Inequalities and Applications, 2023 Let α ≥ 2 $\alpha \geq 2$ , m ≥ 2 $m\geq 2 $ be integers, p be an odd prime with p ∤ m ( m + 1 ) $p\nmid m (m+1 )$ , 0 < λ 1 $0 max { [ 1 λ 1 ] , [ 1 λ 2 ] } $q=p^{\alpha }> \max \{ [ \frac{1}{\lambda _{1}} ], [ \frac{1}{\lambda _{2}} ] \}$ .
Zhaoying Liu, Di Han
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Smarandache-Wellin Numbers and Primes [PDF]
, 1997 A Smarandache-Wellin Number, SWN(n), in a given base b, is a number resulted from the concatenation of first consecutive prime ...
Ibstedt, h.
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An extension of Tamari lattices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 For any finite path $v$ on the square lattice consisting of north and east unit steps, we construct a poset Tam$(v)$ that consists of all the paths lying weakly above $v$ with the same endpoints as $v$.
Louis-François Préville-Ratelle +1 more
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Generalized Derivations with Commutativity and Anti-commutativity Conditions [PDF]
, 2007 Let R be a prime ring with 1, with char(R) ≠ 2; and let F : R → R be a generalized derivation. We determine when one of the following holds for all x,y ∈ R: (i) [F(x); F(y)] = 0; (ii) F(x)ΟF(y) = 0; (iii) F(x) Ο F(y) = x Ο
Rehman, Nadeem-ur +3 more
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