Z. Rudnick

Algebra and Number Theory · 2000–2015

A researcher in the Science corpus: 11 papers; trusts 17 researchers and is trusted by 23 researchers here, as inferred from the citation graph.

Subfields

• Algebra and Number Theory — 20 citations into it; #202 of 2,864 by trust here, #328 by citations
• Mathematical Physics — 19 citations into it; #1,242 of 8,562 by trust here, #1,895 by citations
• Geometry and Topology — 10 citations into it; #1,139 of 7,422 by trust here, #1,677 by citations
• Statistics and Probability — 7 citations into it
• Theoretical Computer Science — 6 citations into it

Whom Z. Rudnick trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. M. Stephanov
2. Jon P Keating
3. Dmitry Faifman
4. Elon Lindenstrauss
5. Steven J. Miller
6. J. Verbaarschot
7. Jens Marklof
8. Winfried Kohnen
9. Michael O. Rubinstein
10. Paul B. Garrett

Who trusts Z. Rudnick overall

1. Julio Andrade
2. Kannan Soundararajan
3. Jon P Keating
4. Nathan Ng
5. S. Gun
6. Paul D. Nelson
7. Peter Sarnak
8. M. Ram Murty
9. M. Young
10. Pär Kurlberg

Papers from Z. Rudnick's perspective

Ordered by how strongly the researchers Z. Rudnick trusts endorse each paper. Same corpus, a different order for every researcher.

1. Random Matrix Theory and L-Functions at s= 1/2
2. Random Matrix Theory and ζ(1/2+it)
3. Random Matrices
4. The variance of the number of prime polynomials in short intervals and in residue classes
5. Invariant measures and arithmetic quantum unique ergodicity
6. Multiple Dirichlet Series and Moments of Zeta and L-Functions (Compositio Mathematica)
7. An Introduction to Probability Theory and Its Applications
8. The Distribution of the Summatory Function of the Möbius Function
9. Statistics of the zeros of zeta functions in families of hyperelliptic curves over a finite field (Compositio Mathematica)
10. On the Characteristic Polynomial¶ of a Random Unitary Matrix

Their papers

• Squarefree polynomials and Mobius values in short intervals and arithmetic progressions (2015) — 48 citations
• The variance of the number of prime polynomials in short intervals and in residue classes (2012) — 84 citations
• Traces of high powers of the Frobenius class in the hyperelliptic ensemble (2008) — 70 citations
• Statistics of the zeros of zeta functions in families of hyperelliptic curves over a finite field (2008) — 48 citations
• The fluctuations in the number of points on a hyperelliptic curve over a finite field (2008) — 62 citations
• Equidistribution in number theory, an introduction (2006) — 72 citations
• Lower bounds for moments of L-functions: symplectic and orthogonal examples (2006) — 75 citations
• ON THE ASYMPTOTIC DISTRIBUTION OF ZEROS OF MODULAR FORMS (2005) — 91 citations
• Torsion points on curves and common divisors of $a^k-1$ and $b^k-1$ (2002) — 54 citations
• Linear statistics of low-lying zeros of L-functions (2002) — 120 citations
• The distribution of spacings between the fractional parts of n2α (2000) — 136 citations