Some congruences related to the q-Fermat quotients
- 31 March 2015
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Number Theory
- Vol. 11 (03) , 1049-1060
Abstract
We give q-analogues of the following congruences by Z.-W. Sun: [ ] where p is an odd prime, [ ] are the Delannoy numbers, and [ ] are the harmonic numbers. We also prove that, for any positive integer m and prime p > m + 1, [ ] which is a multiple generalization of Kohnen's congruence. Furthermore, a q-analogue of this congruence is established.Keywords
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