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fixed broken link to ma.rhul.ac.uk/~elsholtz; added full citation
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edit approved Apr 25, 2022 at 16:14
The Amplitwist
edit approved Apr 25, 2022 at 16:14
The Amplitwist
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Your guess is correct for k=1 and 2, but when k is bigger, things get more complicated. For instance, when k=n=3, N=19. For a summary of some known results, see:

http://www.ma.rhul.ac.uk/~elsholtz/WWW/papers/papers08harborth.pdfElsholtz, C. Lower Bounds For Multidimensional Zero Sums. Combinatorica 24, 351–358 (2004).

Your guess is correct for k=1 and 2, but when k is bigger, things get more complicated. For instance, when k=n=3, N=19. For a summary of some known results, see:

http://www.ma.rhul.ac.uk/~elsholtz/WWW/papers/papers08harborth.pdf

Your guess is correct for k=1 and 2, but when k is bigger, things get more complicated. For instance, when k=n=3, N=19. For a summary of some known results, see:

Elsholtz, C. Lower Bounds For Multidimensional Zero Sums. Combinatorica 24, 351–358 (2004).

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Ricky Liu
Ricky Liu
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Your guess is correct for k=1 and 2, but when k is bigger, things get more complicated. For instance, when k=n=3, N=19. For a summary of some known results, see:

http://www.ma.rhul.ac.uk/~elsholtz/WWW/papers/papers08harborth.pdf