Matches in SemOpenAlex for { <https://semopenalex.org/work/W2801365968> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W2801365968 abstract "Zero-sum problems for abelian groups and covers of the integers by residue classes, are two different active topics initiated by P. Erdos more than 40 years ago and investigated by many researchers separately since then. In an earlier announcement [Electron. Res. Announc. Amer. Math. Soc. 9(2003), 51-60], the author claimed some surprising connections among these seemingly unrelated fascinating areas. In this paper we establish further connections between zero-sum problems for abelian p-groups and covers of the integers. For example, we extend the famous Erdos-Ginzburg-Ziv theorem in the following way: If {a_s(mod n_s)}_{s=1}^k covers each integer either exactly 2q-1 times or exactly 2q times where q is a prime power, then for any c_1,...,c_k in Z/qZ there exists a subset I of {1,...,k} such that sum_{s in I}1/n_s=q and sum_{s in I}c_s=0. Our main theorem in this paper unifies many results in the two realms and also implies an extension of the Alon-Friedland-Kalai result on regular subgraphs." @default.
- W2801365968 created "2018-05-17" @default.
- W2801365968 creator A5030071648 @default.
- W2801365968 date "2003-05-26" @default.
- W2801365968 modified "2023-09-24" @default.
- W2801365968 title "A Unified Theory of Zero-sum Problems and Covers of the Integers" @default.
- W2801365968 cites W1840104613 @default.
- W2801365968 cites W1972907485 @default.
- W2801365968 cites W1975858565 @default.
- W2801365968 cites W1986358498 @default.
- W2801365968 cites W2006725243 @default.
- W2801365968 cites W2041686297 @default.
- W2801365968 cites W2070302103 @default.
- W2801365968 cites W2073661780 @default.
- W2801365968 cites W2079229279 @default.
- W2801365968 cites W2136238000 @default.
- W2801365968 cites W2166482386 @default.
- W2801365968 cites W2764522098 @default.
- W2801365968 cites W304188901 @default.
- W2801365968 hasPublicationYear "2003" @default.
- W2801365968 type Work @default.
- W2801365968 sameAs 2801365968 @default.
- W2801365968 citedByCount "0" @default.
- W2801365968 crossrefType "posted-content" @default.
- W2801365968 hasAuthorship W2801365968A5030071648 @default.
- W2801365968 hasConcept C113429393 @default.
- W2801365968 hasConcept C114614502 @default.
- W2801365968 hasConcept C118615104 @default.
- W2801365968 hasConcept C136170076 @default.
- W2801365968 hasConcept C138885662 @default.
- W2801365968 hasConcept C184992742 @default.
- W2801365968 hasConcept C199360897 @default.
- W2801365968 hasConcept C2778029271 @default.
- W2801365968 hasConcept C2780813799 @default.
- W2801365968 hasConcept C33923547 @default.
- W2801365968 hasConcept C41008148 @default.
- W2801365968 hasConcept C41895202 @default.
- W2801365968 hasConcept C97137487 @default.
- W2801365968 hasConceptScore W2801365968C113429393 @default.
- W2801365968 hasConceptScore W2801365968C114614502 @default.
- W2801365968 hasConceptScore W2801365968C118615104 @default.
- W2801365968 hasConceptScore W2801365968C136170076 @default.
- W2801365968 hasConceptScore W2801365968C138885662 @default.
- W2801365968 hasConceptScore W2801365968C184992742 @default.
- W2801365968 hasConceptScore W2801365968C199360897 @default.
- W2801365968 hasConceptScore W2801365968C2778029271 @default.
- W2801365968 hasConceptScore W2801365968C2780813799 @default.
- W2801365968 hasConceptScore W2801365968C33923547 @default.
- W2801365968 hasConceptScore W2801365968C41008148 @default.
- W2801365968 hasConceptScore W2801365968C41895202 @default.
- W2801365968 hasConceptScore W2801365968C97137487 @default.
- W2801365968 hasLocation W28013659681 @default.
- W2801365968 hasOpenAccess W2801365968 @default.
- W2801365968 hasPrimaryLocation W28013659681 @default.
- W2801365968 hasRelatedWork W1980617433 @default.
- W2801365968 hasRelatedWork W1988036966 @default.
- W2801365968 hasRelatedWork W2024010886 @default.
- W2801365968 hasRelatedWork W2042388269 @default.
- W2801365968 hasRelatedWork W2043088586 @default.
- W2801365968 hasRelatedWork W2053221842 @default.
- W2801365968 hasRelatedWork W2054712311 @default.
- W2801365968 hasRelatedWork W2073661780 @default.
- W2801365968 hasRelatedWork W2258883273 @default.
- W2801365968 hasRelatedWork W2317186342 @default.
- W2801365968 hasRelatedWork W2504840648 @default.
- W2801365968 hasRelatedWork W2553300751 @default.
- W2801365968 hasRelatedWork W2916944461 @default.
- W2801365968 hasRelatedWork W2951945192 @default.
- W2801365968 hasRelatedWork W2962839324 @default.
- W2801365968 hasRelatedWork W2963028612 @default.
- W2801365968 hasRelatedWork W3096379235 @default.
- W2801365968 hasRelatedWork W3099728896 @default.
- W2801365968 hasRelatedWork W7492430 @default.
- W2801365968 hasRelatedWork W2189230010 @default.
- W2801365968 isParatext "false" @default.
- W2801365968 isRetracted "false" @default.
- W2801365968 magId "2801365968" @default.
- W2801365968 workType "article" @default.