Some Generalizations of the Cauchy-Davenport Theorem

Verfasser / Beitragende:
[F. Petrov, V. Volkov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 209/6(2015-09-01), 874-877
Format:
Artikel (online)
ID: 605525862
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024 7 0 |a 10.1007/s10958-015-2534-y  |2 doi 
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245 0 0 |a Some Generalizations of the Cauchy-Davenport Theorem  |h [Elektronische Daten]  |c [F. Petrov, V. Volkov] 
520 3 |a We investigate two possible generalizations of the Cauchy-Davenport inequality |A + B| ≥ min (p, |A| + |B| − 1) for nonempty sets A, B of residues modulo a prime number p. The first one deals with another way of measuring the size of a set of points in an affine space (rather than just taking the cardinality), namely, with algebraic complexity. The second one concentrates on the multiplicative group of a field. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Petrov  |D F.  |u St.Petersburg Department of Steklov Mathematical Institute, St.Peterburg, Russia  |4 aut 
700 1 |a Volkov  |D V.  |u St.Petersburg State University, St.Peterburg, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/6(2015-09-01), 874-877  |x 1072-3374  |q 209:6<874  |1 2015  |2 209  |o 10958 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Petrov  |D F.  |u St.Petersburg Department of Steklov Mathematical Institute, St.Peterburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Volkov  |D V.  |u St.Petersburg State University, St.Peterburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/6(2015-09-01), 874-877  |x 1072-3374  |q 209:6<874  |1 2015  |2 209  |o 10958