On Pell hybrinomials
نویسندگان
چکیده
منابع مشابه
On Pell, Pell-Lucas, and balancing numbers
In this paper, we derive some identities on Pell, Pell-Lucas, and balancing numbers and the relationships between them. We also deduce some formulas on the sums, divisibility properties, perfect squares, Pythagorean triples involving these numbers. Moreover, we obtain the set of positive integer solutions of some specific Pell equations in terms of the integer sequences mentioned in the text.
متن کاملArithmetic Progressions on Pell Equations
IF Introduction sn IWWW fremner I onsidered rithmeti progressions on ellipti urvesF fremner onstruted ellipti urves with rithmeti progressions of length UD iFeF rtionl points @X; Y A whose XE oordintes re in rithmeti progressionF sn following pper fremnerD ilvermn nd znkis P showed tht sugroup of the ellipti urve E@QA with E X Y 2 a X@X 2 n 2 A of rnk I doe...
متن کاملPell Numbers Whose Euler Function Is a Pell Number
We show that the only Pell numbers whose Euler function is also a Pell number are 1 and 2.
متن کاملOn the resolution of simultaneous Pell equations ∗
We descibe an alternative procedure for solving automatically simultaneous Pell equations with relatively small coefficients. The word “automatically” means to indicate that the algorithm can be implemented in Magma. Numerous famous examples are verified and a new theorem is proved by running simply the corresponding Magma procedure requires only the six coefficients of the system a1x 2 + b1y 2...
متن کاملA Note on the Negative Pell Equation
We provide a new elementary proof of a criterion, given in earlier work, for the solvability of the Pell equation x2 −Dy2 = −1 where D is any positive nonsquare integer. Mathematics Subject Classification: Primary 11D09; 11A55; Secondary 11R11; 11R29
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Miskolc Mathematical Notes
سال: 2019
ISSN: 1787-2405,1787-2413
DOI: 10.18514/mmn.2019.2971