Reduction of an arbitrary diophantine equation to one in 13 unknowns

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Reduction of CRB in Arbitrary Pre-designed Arrays Using Alter an Element Position

Simultaneous estimation of range and angle of close emitters usually requires a multidimensional search. This paper offers an algorithm to improve the position of an element of any array designed on the basis of some certain or random rules. In the proposed method one element moves on its original direction, i.e., keeping the vertical distance to each source, to reach the constellation with les...

متن کامل

How to Solve a Diophantine Equation

These notes represent an extended version of a talk I gave for the participants of the IMO 2009 and other interested people. We introduce diophantine equations and show evidence that it can be hard to solve them. Then we demonstrate how one can solve a specific equation related to numbers occurring several times in Pascal’s Triangle with state-of-the-art methods. 1. Diophantine Equations The to...

متن کامل

On the Solutions to the Diophantine Equation

In this paper we are concerned with a question that has already been answered, involving Fibonacci-type sequences and their characteristic numbers. We are only interested in primitive sequences iconsecutive pairs of terms have no common factors) and for these sequences we ask: What numbers can be the characteristic of a sequence, and given such a number, how many sequences have it? Thoro [1] ha...

متن کامل

A Binomial Diophantine Equation

following result. THEOREM 1. The only (n,m)eZ with n^2 and m5=4 satisfying © = ( 7 ) a r e {n> m)=(2> 4)> (6> 6)> and (21> Our binomial diophantine equation represents an elliptic curve, since it can be rewritten as a quartic polynomial being a square. Indeed, on putting u = 2/i 1 and v = 2m 3, we see at once that Theorem 1 follows from the following result. THEOREM 2. The only (u, v) e Z with ...

متن کامل

ذخیره 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: Acta Arithmetica

سال: 1975

ISSN: 0065-1036,1730-6264

DOI: 10.4064/aa-27-1-521-553