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Displaying 41 – 57 of 57

Multigeometric sequences and Cantorvals

Artur Bartoszewicz, Małgorzata Filipczak, Emilia Szymonik (2014)

Open Mathematics

For a sequence x ∈ l 10, one can consider the achievement set E(x) of all subsums of series Σn=1∞ x(n). It is known that E(x) has one of the following structures: a finite union of closed intervals, a set homeomorphic to the Cantor set, a set homeomorphic to the set T of subsums of Σn=1∞ x(n) where c(2n − 1) = 3/4n and c(2n) = 2/4n (Cantorval). Based on ideas of Jones and Velleman [Jones R., Achievement sets of sequences, Amer. Math. Monthly, 2011, 118(6), 508–521] and Guthrie and Nymann [Guthrie...

Multi-parametric extensions of Newman's phenomenon.

Stoll, Thomas (2005)

Integers

Multiple binomial transforms and families of integer sequences.

Pan, Jiaqiang (2010)

Journal of Integer Sequences [electronic only]

Multiple convolution formulae on classical combinatorial numbers.

Chu, Wenchang, Wang, Xiaoyuan (2007)

Integers

Multiple p-adic log-gamma functions and their characterization theorem

Ken Kamano (2010)

Acta Arithmetica

Multiple Perfect Numbers, Mersenne Primes, and Effective Computability.

Carl Pomerance (1977)

Mathematische Annalen

Multiple set addition in $ℤ_{p}$ .

Schoen, Tomasz (2003)

Integers

Multiple tilings of $ℤ$ with long periods, and tiles with many-generated level semigroups.

Steinberger, John P. (2005)

The New York Journal of Mathematics [electronic only]

Multiple twisted $q$ -Euler numbers and polynomials associated with $p$ -adic $q$ -integrals.

Jang, Lee-Chae (2008)

Advances in Difference Equations [electronic only]

Multiplicative character sums for nonlinear recurring sequences

Harald Niederreiter, Arne Winterhof (2004)

Acta Arithmetica

Multiplicative functions and $k$ -automatic sequences

Soroosh Yazdani (2001)

Journal de théorie des nombres de Bordeaux

A sequence is called $k$ -automatic if the $n$ ’th term in the sequence can be generated by a finite state machine, reading $n$ in base $k$ as input. We show that for many multiplicative functions, the sequence ${(f (n) mod v)}_{n \geq 1}$ is not $k$ -automatic. Among these multiplicative functions are $γ_{m} (n), σ_{m} (n), μ (n)$ et $φ (n)$ .

Multiplicative relations on binary recurrences

Florian Luca, Volker Ziegler (2013)

Acta Arithmetica

Given a binary recurrence ${u_{n}}_{n \geq 0}$ , we consider the Diophantine equation $u_{n_{1}}^{x_{1}} \dots u_{n_{L}}^{x_{L}} = 1$ with nonnegative integer unknowns $n_{1}, . . ., n_{L}$ , where $n_{i} \neq n_{j}$ for 1 ≤ i < j ≤ L, $m a x | x_{i} | : 1 \leq i \leq L \leq K$ , and K is a fixed parameter. We show that the above equation has only finitely many solutions and the largest one can be explicitly bounded. We demonstrate the strength of our method by completely solving a particular Diophantine equation of the above form.

Multiplicatively dependent triples of Tribonacci numbers

Carlos Alexis Ruiz Gómez, Florian Luca (2015)

Acta Arithmetica

We consider the Tribonacci sequence $T : = {T_{n}}_{n \geq 0}$ given by T₀ = 0, T₁ = T₂ = 1 and $T_{n + 3} = T_{n + 2} + T_{n + 1} + T_{n}$ for all n ≥ 0, and we find all triples of Tribonacci numbers which are multiplicatively dependent.

Currently displaying 41 – 57 of 57

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Displaying 41 – 57 of 57

Multigeometric sequences and Cantorvals

Multi-parametric extensions of Newman's phenomenon.

Multiple binomial transforms and families of integer sequences.

Multiple convolution formulae on classical combinatorial numbers.

Multiple p-adic log-gamma functions and their characterization theorem

Multiple Perfect Numbers, Mersenne Primes, and Effective Computability.

Multiple set addition in $ℤ_{p}$ .

Multiple tilings of $ℤ$ with long periods, and tiles with many-generated level semigroups.

Multiple twisted $q$ -Euler numbers and polynomials associated with $p$ -adic $q$ -integrals.

Multiplicative character sums for nonlinear recurring sequences

Multiplicative functions and $k$ -automatic sequences

Multiplicative relations on binary recurrences

Multiplicatively dependent triples of Tribonacci numbers

Multivariate interpolation functions of higher-order $q$ -Euler numbers and their applications.

Multivariate $p$ -adic fermionic $q$ -integral on $ℤ_{p}$ and related multiple zeta-type functions.

Multivariate twisted $p$ -adic $q$ -integral on $ℤ_{p}$ associated with twisted $q$ -Bernoulli polynomials and numbers.

Mycielski-Sierpiński conjecture and Korec-Znám result

Currently displaying 41 – 57 of 57