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Binary Sequences Generated by Sequences {n}, n = 1, 2, . .
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SYSNO ASEP 0344062 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Binary Sequences Generated by Sequences {n}, n = 1, 2, . . Tvůrce(i) Porubský, Štefan (UIVT-O) SAI, RID
Strauch, O. (SK)Zdroj.dok. Publicationes Mathematicae-Debrecen. - : Kossuth Lajos Tudomanyegyetem - ISSN 0033-3883
Roč. 77, 1-2 (2010), s. 139-170Poč.str. 32 s. Jazyk dok. eng - angličtina Země vyd. HU - Maďarsko Klíč. slova pseudorandomness ; binary sequence ; measures of pseudorandomness ; well distribution ; uniform distribution ; correlation ; Sturmian sequence Vědní obor RIV BA - Obecná matematika CEP GA201/07/0191 GA ČR - Grantová agentura ČR CEZ AV0Z10300504 - UIVT-O (2005-2011) UT WOS 000279796100011 EID SCOPUS 77954902357 Anotace In the paper arithmetical and pseudorandom properties of the set A of fractional parts of multiplies of an irrational number which belong to a given subinterval of the unit interval (0,1) are studied. It is proved here that the gaps between successive elements of A are at most of three lengths, a, b and a+b, which extends the known Slater's results to arbitrary intervals. From the other results, let us mention the exact description of the set of integers which are not equal to a difference of two arbitrary elements of A, or a new lower estimate of the Mauduit-Sarkozy well distribution measure, or a new proof of the mentioned Slater’s three gap theorems. Pracoviště Ústav informatiky Kontakt Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Rok sběru 2011
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