Results 21 to 30 of about 1,408,509 (103)
The problem of Diophantus for integers of Q(√−3) [PDF]
, 2014 We solve the problem of Diophantus for integers of the quadratic field Q(√−3) by finding a D(z)-quadruple in Z[(1+√−3)/2] for each z that can be represented as a difference of two squares of integers in Q(√−3), up to finitely many possible ...
Franušić, Zrinka +3 more
core +1 more source
Quantum integers and cyclotomy [PDF]
, 2004 A sequence of functions F={fn(q)}n=1∞ satisfies the functional equation for multiplication of quantum integers if fmn(q)=fm(q)fn(qm) for all positive integers m and n.
Wang, Yang +2 more
core +1 more source
There are no multiply-perfect Fibonacci numbers [PDF]
, 2011 Here, we show that no Fibonacci number (larger than 1) divides the sum of its ...
Lewis, Ryan H. +11 more
core +1 more source
A one line factoring algorithm [PDF]
, 2012 We describe a variant of Fermat’s factoring algorithm which is competitive with SQUFOF in practice but has heuristic run time complexity O(n1/3) as a general factoring algorithm.
William B. Hart, Hart, William B.
core +1 more source
An Elaboration of the Cai-Xu Result on (p, q)-integers
, 2020 Ostrovska, Sofiya/0000-0003-1842-7953The investigation of the (p, q)-Bernstein operators put forth the problem of finding the conditions when a sequence of (p, q)-integers tends to infinity.
Ostrovska, Sofiya
core +1 more source
On Evaluation of the Dirichlet Series at Positive Integers by q-Calculation [PDF]
, 1994 By q-calculation, we prove some recursion formulas for the values of Riemann ζ-function ζ(s) at positive even integers, and also prove some series representation for the values of ζ(s) at positive odd integers.
Tsumura, H.
core +1 more source
Approximation Properties of λ-Gamma Operators Based on q-Integers
, 2020 In the present paper, we will introduce λ-Gamma operators based on q-integers. First, the auxiliary results about the moments are presented, and the central moments of these operators are also estimated.
Wen-Tao Cheng, Xiao-Jun Tang
core +1 more source
A generalization of Szasz-Mirakyan operators based on q-integers
, 2008 In this paper, we introduce a generalization of Szasz-Mirakyan operators based on q-integers, that we call q-Szasz-Mirakyan operators. Depending on the selection of q, these operators are more flexible than the classical Szasz-Mirakyan operators while ...
Aral, Ali
core +1 more source
Integers of Biquadratic Fields
, 1970 Let Q denote the field of rational numbers. If m, n are distinct squarefree integers the field formed by adjoining √m and √n to Q is denoted by Q(√m, √n). Since Q(√m, √n) = Q(√m, √n) and √m + √n has for its unique minimal polynomial x4 —2(m + n)x2 + (m -
Kenneth S. Williams
core +1 more source
Integers without large prime factors [PDF]
, 1973 Let u > 3 and β > √e/(√e−1) be real numbers and let β0=β−√e/(√e−1). Let a and q be relatively prime positive integers. Let Ψa(X, Y) denote the number of positive integers ⩽ X and ≡ a (mod q), whose largest prime factor is ⩽ Y.
Friedlander, John B
core +1 more source