Results 21 to 30 of about 366 (35)
Improvements on dimension growth results and effective Hilbert’s irreducibility theorem
Forum of Mathematics, SigmaWe sharpen and generalize the dimension growth bounds for the number of points of bounded height lying on an irreducible algebraic variety of degree d, over any global field.
Raf Cluckers +4 more
doaj +1 more source
The density of twins of $k$-free numbers
, 2014 For $k \geq 2$, we consider the number $A_k(Z)$ of positive integers $n \leq Z$ such that both $n$ and $n+1$ are $k$-free. We prove an asymptotic formula $A_k(Z) = c_k Z + O(Z^{14/(9k)+\epsilon})$, where the error term improves upon previously known ...
Dietmann, Rainer, Marmon, Oscar
core +1 more source
On the Diophantine equation $\sum_{j=1}^kjF_j^p=F_n^q$
, 2017 Let $F_n$ denote the $n^{th}$ term of the Fibonacci sequence. In this paper, we investigate the Diophantine equation $F_1^p+2F_2^p+\cdots+kF_{k}^p=F_{n}^q$ in the positive integers $k$ and $n$, where $p$ and $q$ are given positive integers.
Németh, László +2 more
core +1 more source
New examples of modular rigid Calabi-Yau threefolds
, 2004 This paper presents five new examples of modular rigid Calabi-Yau threefolds arising from the modular elliptic surface of level 6. Explicit correspondences to newforms of weight 4 and level 10, 17, 21, and 73 are given.Comment: 9 pages; journal-ref ...
Schuett, Matthias
core +1 more source
On a Generalization of the Frobenius Number
, 2010 We consider a generalization of the Frobenius Problem where the object of interest is the greatest integer which has exactly $j$ representations by a collection of positive relatively prime integers.
Brown, Alexander +9 more
core +1 more source
Some equations with features of digit reversal and powers
, 2016 In this paper we consider integers in base 10 like $abc$, where $a$, $b$, $c$ are digits of the integer, such that $abc^2 - (abc \cdot cba) \; = \; \pm n^2$, where $n$ is a positive integer, as well as equations $abc^2 - (abc \cdot cba) \; = \; \pm n^3$,
Campbell, Geoffrey B., Zujev, Aleksander
core
Integers representable as differences of linear recurrence sequences. [PDF]
Res Number Theory, 2021 Tichy R, Vukusic I, Yang D, Ziegler V.
europepmc +1 more source
On prime powers in linear recurrence sequences. [PDF]
Ann Math Quebec, 2023 Odjoumani J, Ziegler V.
europepmc +1 more source
On the x-coordinates of Pell equations that are sums of two Padovan numbers. [PDF]
Bol Soc Mat Mex, 2021 Ddamulira M.
europepmc +1 more source
Exact Recursive Calculation of Circulant Permanents: A Band of Different Diagonals inside a Uniform Matrix. [PDF]
Entropy (Basel), 2021 Kocharovsky V +3 more
europepmc +1 more source