Can I read Congruences Involving Alternating Multiple Harmonic Sum on EtoBox?

Congruences Involving Alternating Multiple Harmonic Sum by Tauraso, Roberto is a scholarly article available to read on EtoBox.

What is Congruences Involving Alternating Multiple Harmonic Sum about?

We show that for any prime prime $p\not=2$ $$\sum_{k=1}^{p-1} {(-1)^k\over k}{-{1\over 2} \choose k} \equiv -\sum_{k=1}^{(p-1)/2}{1\over k} \pmod{p^3}$$ by expressing the l.h.s. as a combination of alternating multiple harmonic sums.

Author

Tauraso, Roberto

Published

2009

Language

EN