A note on some relations among special s
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Ladislav Skula
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Article
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2008
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SP Versita
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English
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## Abstract In this note the sums s(k, N) of reciprocals $$\sum\limits\_{\tfrac{{kp}}{N} < x < \tfrac{{(k + 1)p}}{N}} {\tfrac{1}{x}(mod p)} $$ are investigated, where p is an odd prime, N, k are integers, p does not divide N, N โฅ 1 and 0 โค k โค N โ 1. Some linear relations for these sums are derive