The Bump-Ng theorem (and also the title of the paper in which it was proved) states that the zeros of the Mellin transform of Hermite functions have real part equal to 1/2.

# Bump-Ng Theorem

## See also

Mellin Transform## Explore with Wolfram|Alpha

## References

Bump, D. and Ng, K.-S. "The Zeros of the Mellin Transform of Hermite Functions Have Real Part One-Half." 1986.Derbyshire, J.*Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics.*New York: Penguin, pp. 352 and 391, 2004.

## Referenced on Wolfram|Alpha

Bump-Ng Theorem## Cite this as:

Weisstein, Eric W. "Bump-Ng Theorem."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/Bump-NgTheorem.html