Zobrazeno 1 - 10
of 565 699
pro vyhledávání: '"A Davenport"'
Autor:
Harper, Adam J.
We prove two estimates for the Barban--Davenport--Halberstam type variance of a general complex sequence in arithmetic progressions. The proofs are elementary, and our estimates are capable of yielding an asymptotic for the variance when the sequence
Externí odkaz:
http://arxiv.org/abs/2412.19644
Autor:
Oh, Jun Seok
Let $G$ be a finite group. By a sequence over $G$, we mean a finite unordered string of terms from $G$ with repetition allowed, and we say that it is a product-one sequence if its terms can be ordered so that their product is the identity element of
Externí odkaz:
http://arxiv.org/abs/2409.00363
Autor:
Dimitrov, S. I.
In this paper we establish three Barban-Davenport-Halberstam type theorems. Namely for exponential sums over primes, for Piatetski-Shapiro primes and for exponential sums over Piatetski-Shapiro primes.
Externí odkaz:
http://arxiv.org/abs/2408.06490
Autor:
Friedlander, John, Iwaniec, Henryk
Improvements of the Large Sieve for Special Sequences
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/2409.19634
We define two variants $e(G)$, $f(G)$ of the Davenport constant $d(G)$ of a finite group $G$, that is not necessarily abelian. These naturally arising constants aid in computing $d(G)$ and are of potential independent interest. We compute the constan
Externí odkaz:
http://arxiv.org/abs/2406.09210
For a finite group $G,$ $D(G)$ is defined as the least positive integer $k$ such that for every sequence $S=g_1 g_2\cdots g_k$ of length $k$ over $G$, there exist $1 \le i_1 < i_2 <\cdots < i_m \le k $ such that $\prod_{j=1}^{m} g_{i_{\sigma(j)}}=1$
Externí odkaz:
http://arxiv.org/abs/2407.01148
Autor:
Biswas, Anamitro, Mazumdar, Eshita
For a finite abelian group $G,$ the Davenport Constant, denoted by $D(G)$, is defined to be the least positive integer $k$ such that every sequence of length at least $k$ has a non-trivial zero-sum subsequence. A long-standing conjecture is that the
Externí odkaz:
http://arxiv.org/abs/2402.09999
Let $G$ be a group and $A\subseteq [1,\exp(G)-1]$. We define the constant ${\sf C}_A(G),$ which is the least positive integer $\ell$ such that every sequence over $G$ of length at least $\ell$ has an $A$-weighted consecutive product-one subsequence.
Externí odkaz:
http://arxiv.org/abs/2404.11312
The directed Cayley diameter of a finite group is investigated in terms of the monoid of product-one sequences over the group, via the new notion of directed geodesic atoms. Two quantities associated to the set of directed geodesic atoms provide lowe
Externí odkaz:
http://arxiv.org/abs/2401.04607
Autor:
Davenport, Anne A.
Publikováno v:
Early Science and Medicine, 2007 Jan 01. 12(1), 55-90.
Externí odkaz:
https://www.jstor.org/stable/4130294
