Micah B. Milinovich

About Me:

I am currently an assisstant professor in the Mathematics Department at the University of Mississippi. I am a member of the Algebra and Number Theory research group.

In May 2008, I completed a Ph.D. under the supervision of Professor Steven M. Gonek at the University of Rochester.

Course	Time	Room
Math 513 - Theory of Numbers, I	TR, 8:00-9:15 am	Hume 331
Math 656 - Theory of Functions of a Complex Variable, II	TR, 11:00-12: 15 pm	Hume 331

Publications:

Accepted Papers: (published versions may be different)

Upper bounds for moments of ζ'(ρ),
Bulletin of the London Mathematical Society 42 (2010), no. 1, pp. 28--44.
A note on the gaps between consecutive zeros of the Riemann zeta-function, (with Hung M. Bui and Nathan Ng)
Proceedings of the American Mathematical Society 138 (2010), no. 12, pp. 4167--4175.
Central values of derivatives of Dirichlet L-functions, (with Hung M. Bui)
International Journal of Number Theory 7 (2011), no. 2, pp. 371--388.
A note on a conjecture of Gonek, (with Nathan Ng)
Functiones et Approximatio, Commentarii Mathematici, accepted for publication.
Moments of the Riemann zeta-function at its relative extrema on the critical line,
Bulletin of the London Mathematical Society, 43 (2011), no. 6, pp. 1119--1129.
A note on simple a-points of L-functions, (with Steven M. Gonek and Stephen J. Lester)
Proceedings of the American Mathematical Society, accepted for publication.

Preprints:

Lower bounds for moments of ζ'(ρ), (with Nathan Ng)
Preprint.
Bounding S(t) and S₁(t) on the Riemann Hypothesis, (with Emanuel Carneiro and Vorrapan Chandee)
Submitted. Preprint available upon request.
Moments of the Riemann zeta-function and its derivatives, preprint available upon request.
(This manuscript computes the lower order terms in the second moment of ζ'(ρ) as announced
in section 7.1 of Conrey & Snaith's "Applications of the L-functions ratios conjectures," link.)