Results 21 to 30 of about 366 (33)

Improvements on dimension growth results and effective Hilbert’s irreducibility theorem

open access: yesForum of Mathematics, Sigma
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?

open access: yes, 2018
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

open access: yes, 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

Integers representable as differences of linear recurrence sequences. [PDF]

open access: yesRes Number Theory, 2021
Tichy R, Vukusic I, Yang D, Ziegler V.
europepmc   +1 more source

New examples of modular rigid Calabi-Yau threefolds

open access: yes, 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 prime powers in linear recurrence sequences. [PDF]

open access: yesAnn Math Quebec, 2023
Odjoumani J, Ziegler V.
europepmc   +1 more source

Tribonacci numbers that are concatenations of two repdigits. [PDF]

open access: yesRev R Acad Cienc Exactas Fis Nat A Mat, 2020
Ddamulira M.
europepmc   +1 more source

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