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PRODUCTS IN RESIDUE CLASSES
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-4734-5092
2008 (English)In: Mathematical Research Letters, ISSN 1073-2780, E-ISSN 1945-001X, Vol. 15, no 5-6, 1133-1147 p.Article in journal (Refereed) Published
Abstract [en]

We consider a problem of P. Erdos, A. M. Odlyzko and A. Sarkozy about the representation of residue classes modulo m by products of two not too large primes. While it seems that even the Extended Riemann Hypothesis is not powerful enough to achieve the expected results, here we obtain some unconditional results "on average" over moduli m and residue classes modulo m and somewhat stronger results when the average is restricted to prime moduli m = p. We also consider the analogous question wherein the primes are replaced by easier sequences so, quite naturally, we obtain much stronger results.

Place, publisher, year, edition, pages
2008. Vol. 15, no 5-6, 1133-1147 p.
Keyword [en]
arithmetic-progression, small integers, prime, modulo, sums
Identifiers
URN: urn:nbn:se:kth:diva-18093ISI: 000262382600023Scopus ID: 2-s2.0-59349120796OAI: oai:DiVA.org:kth-18093DiVA: diva2:336139
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Kurlberg, Pär

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