Results 21 to 30 of about 366 (33)
Improvements on dimension growth results and effective Hilbert’s irreducibility theorem
We 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
When are Multiples of Polygonal Numbers again Polygonal Numbers?
Euler showed that there are infinitely many triangular numbers that are three times other triangular numbers. In general, it is an easy consequence of the Pell equation that for a given square-free m > 1, the relation P=mP' is satisfied by infinitely ...
Chahal, Jasbir S. +2 more
core +1 more source
On a Generalization of the Frobenius Number
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
Integers representable as differences of linear recurrence sequences. [PDF]
Tichy R, Vukusic I, Yang D, Ziegler V.
europepmc +1 more source
New examples of modular rigid Calabi-Yau threefolds
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 prime powers in linear recurrence sequences. [PDF]
Odjoumani J, Ziegler V.
europepmc +1 more source
On the x-coordinates of Pell equations that are sums of two Padovan numbers. [PDF]
Ddamulira M.
europepmc +1 more source
Exact Recursive Calculation of Circulant Permanents: A Band of Different Diagonals inside a Uniform Matrix. [PDF]
Kocharovsky V +3 more
europepmc +1 more source
On a variant of Pillai's problem involving <i>S</i>-units and Fibonacci numbers. [PDF]
Ziegler V.
europepmc +1 more source
Tribonacci numbers that are concatenations of two repdigits. [PDF]
Ddamulira M.
europepmc +1 more source

