On the number of subsequences with given sum

نویسندگان

چکیده

برای دانلود رایگان 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 the number of subsequences with given sum

Let G be an additive finite abelian p-group. For a given (long) sequence S in G and some element g ∈ G, we investigate the number of subsequences of S which have sum g. This refines some classical results of J.E. Olson and recent results of I. Koutis.

متن کامل

On the number of zero-sum subsequences

For a sequence S of elements from an additive abelian group G, let f(S) denote the number of subsequences of S the sum of whose terms is zero. In this paper we characterize all sequences S in G with f(S) > 2|S|−2, where |S| denotes the number of terms of S. MSC Classification : Primary 11B50, Secondary 11B65, 11B75.

متن کامل

On the Number of Subsequences with a Given Sum in a Finite Abelian Group

Suppose G is a finite abelian group and S is a sequence of elements in G. For any element g of G, let Ng(S) denote the number of subsequences of S with sum g. The purpose of this paper is to investigate the lower bound for Ng(S). In particular, we prove that either Ng(S) = 0 or Ng(S) ≥ 2 |S|−D(G)+1, where D(G) is the smallest positive integer l such that every sequence over G of length at least...

متن کامل

On the Number of Zero-sum Subsequences of Restricted Size

Let n = 2λm ≥ 526 with m ∈ {2, 3, 5, 7, 11}, and let S be a sequence of elements in Cn⊕Cn with |S| = n2 +2n−2. Let N 0 (S) denote the number of the subsequences with length n2(=|G|) and with sum zero. Among other results, we prove that either N 0 (S) = 1 or N |G| 0 (S) ≥ n2 + 1.

متن کامل

On the Number of m-term Zero-Sum Subsequences∗

A sequence S of terms from an abelian group is zero-sum if the sum of the terms of S is zero. In 1961 Erdős, Ginzburg and Ziv proved that any sequence of 2m− 1 terms from an abelian group of order m contains an m-term zero-sum subsequence [10]. This sparked a flurry of generalizations, variations and extensions [1] [3] [7] [8] [11] [13] [14] [15] [16] [17] [18] [22] [26] [27] [28] [37]. Since a...

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: Discrete Mathematics

سال: 1999

ISSN: 0012-365X

DOI: 10.1016/s0012-365x(98)00121-6