Triangular numbers whose sum of divisors is also triangular

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

On product-sum of triangular fuzzy numbers

We study the problem: if ãi, i ∈ N are fuzzy numbers of triangular form, then what is the membership function of the infinite (or finite) sum ã1+ã2+· · · (defined via the sup-product-norm convolution)?

متن کامل

On Hamacher-sum of triangular fuzzy numbers

This paper presents new results concerning the effective practical computation of the membership function of the infinite sum (defined via the supHamacher-norm convolution) of triangular fuzzy numbers. Namely, we shall calculate the limit distribution of the Hγ-sum ã1 ⊕ ã2 ⊕ · · · ⊕ ãn ⊕ · · · of triangular fuzzy numbers ãi, i ∈ N, for γ = 0, 1, 2.

متن کامل

Multiple attribute decision making with triangular intuitionistic fuzzy numbers based on zero-sum game approach

For many decision problems with uncertainty, triangular intuitionistic fuzzy number is a useful tool in expressing ill-known quantities. This paper develops a novel decision method based on zero-sum game for multiple attribute decision making problems where the attribute values take the form of triangular intuitionistic fuzzy numbers and the attribute weights are unknown. First, a new value ind...

متن کامل

Partitions into three triangular numbers

A celebrated result of Gauss states that every positive integer can be represented as the sum of three triangular numbers. In this article we study p3∆(n), the number of partitions of the integer n into three triangular numbers, as well as p3∆(n), the number of partitions of n into three distinct triangular numbers. Unlike t(n), which counts the number of representations of n into three triangu...

متن کامل

Triangular numbers and elliptic curves

Some arithmetic of elliptic curves and theory of elliptic surfaces is used to find all rational solutions (r, s, t) in the function field Q(m, n) of the pair of equations r(r + 1)/2 = ms(s + 1)/2 r(r + 1)/2 = nt(t + 1)/2. } It turns out that infinitely many solutions exist. Several examples will be given.

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: 2007

ISSN: 0065-1036,1730-6264

DOI: 10.4064/aa129-1-2