activity
20032026
most cited1- and 2-Level Densities for Rational Families of Elliptic Curves: Evidence for the Underlying Group Symmetries

127 citations · 1.2k across the 174 of their papers we have counts for

collaborators
Showing 2005Show all

7 papers · 1 filter

math.ST2005★ 9 cited

Closed-Form Bayesian Inferences for the Logit Model via Polynomial Expansions

Steven J. Miller, Eric T. Bradlow, Kevin Dayaratna

Articles in Marketing and choice literatures have demonstrated the need for incorporating person-level heterogeneity into behavioral models (e.g., logit models for multiple binary…

math.PR2005★ 28 cited

Distribution of Eigenvalues of Real Symmetric Palindromic Toeplitz Matrices and Circulant Matrices

Adam Massey, Steven J. Miller, John Sinsheimer

Consider the ensemble of real symmetric Toeplitz matrices, each independent entry an i.i.d. random variable chosen from a fixed probability distribution p of mean 0, variance 1, an…

math.ST2005

A Derivation of the Pythagorean Won-Loss Formula in Baseball

Steven J. Miller

It has been noted that in many professional sports leagues a good predictor of a team's won-loss percentage is Bill James' Pythagorean Formula RSobs^c / (RSobs^c + RAobs^c), where…

math.NT2005★ 3 cited

Investigations of Zeros Near the Central Point of Elliptic Curve L-Functions

Steven J. Miller

We explore the effect of zeros at the central point on nearby zeros of elliptic curve L-functions, especially for one-parameter families of rank r over Q. By the Birch and Swinnert…

math.NT2005★ 39 cited

Low lying zeros of L-functions with orthogonal symmetry

C. P. Hughes, Steven J. Miller

We investigate the moments of a smooth counting function of the zeros near the central point of L-functions of weight k cuspidal newforms of prime level N. We split by the sign of…

math.NT2005★ 36 cited

The Low Lying Zeros of a GL(4) and a GL(6) family of L-functions

Eduardo Duenez, Steven J. Miller

We investigate the large weight (k --> oo) limiting statistics for the low lying zeros of a GL(4) and a GL(6) family of L-functions, {L(s,phi x f): f in H_k(1)} and {L(s,phi times…