Erick Ross

activity

20242026

most citedAsymptotics and sign patterns of Hecke polynomial coefficients

3 citations · 3 across the 14 of their papers we have counts for

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Showing 2026 · math.NTShow all

8 papers · 2 filters

math.NT2026

Unconditional Bounds for Two, Three and Four Consecutive Moderate Gaps between Zeros of the Riemann Zeta Function

César Angón, Erick Ross, Ze Sen Tang +1

We prove unconditional positive-proportion results for consecutive moderate gaps between zeros of the Riemann zeta function. More precisely, for every fixed $0<c\leq 1/4$, the lo…

math.NT2026

Only finitely many modular Jacobians are supersingular modulo a given prime

Aarya J. Kumar, Sargam Mondal, Erick Ross +1

In this paper, we study supersingularity of modular Jacobians $J_{0} (N)$ and abelian varieties $A_{f}$ of $GL_{2}$ -type from both the vertical perspective (where the prime $p$ …

math.NT2026

Effective Hecke eigenvalue equidistribution over the Atkin--Lehner subspaces

Aarya J. Kumar, Sargam Mondal, Erick Ross +1

For a fixed prime $p$ , let $μ_{p}$ denote the $p$ -adic Plancherel measure. Then the first main goal of this paper is to prove effective (and moreover explicit) $μ_{p}$ -equidistribution…

math.NT2026

On murmurations

Timothy Nelson, Erick Ross, Maya Wassercug +1

In the recent paper ``Murmurations", Zubrilina showed that the Fourier coefficients of modular forms follow a certain murmuration pattern. The proof given in ``Murmurations" procee…

math.NT2026

Asymptotics of Hecke polynomial coefficients on the Atkin-Lehner eigenspaces

Timothy Nelson, Erick Ross, Maya Wassercug +1

Let $S_{k}^{σ} (N)$ denote the space of cusp forms of level $N$ , weight $k$ , and Atkin-Lehner sign pattern $σ$ , and $S_{k}^{new, σ}$ denote its new subspace. In this paper, we stu…

math.NT2026

Interlacing for zeros of the Serre derivative of Eisenstein series

Maggie Bohanek, Owen McGinty, Erick Ross +2

In 1970, Rankin and Swinnerton-Dyer showed that the non-elliptic zeros of Eisenstein series $E_{k}$ in the fundamental domain all lie on the lower arc $\{ e^{iθ}: \fracπ{2} < θ< \fra…

math.NT2026

Equidistribution of CM points and RM curves

Erick Ross, Hui Xue

In 1988, William Duke showed that CM points of fundamental discriminant $D$ are equidistributed in the complex upper half-plane $H$ as $D \to - \infty$ . He also showed a si…

math.NT2026

Boundary CM points and class groups of small exponent

David Aiken, Erick Ross, Dmitriy Shvydkoy +1

Let $F$ denote the fundamental domain for $SL_{2} (Z)$ on the upper half plane $H$ . William Duke showed that as fundamental discriminants $D \to -\in…