A. Sheth

activity

20232026

most citedEuler Products at the Centre and Applications to Chebyshev's Bias

1 citations · 1 across the 8 of their papers we have counts for

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math.NT2025

Chebyshev's bias for modular forms

Shin-ya Koyama, Arshay Sheth

We study Chebyshev's bias for the signs of Fourier coefficients of cuspidal newforms on $Γ_{0} (N)$ . Our main result shows that the bias towards either sign is completely determined b…

math.NT2025

Real geometric transcendence for uniformization maps of algebraic Riemann surfaces

Arshay Sheth, Matteo Tamiozzo

Let $X$ be a smooth connected complex algebraic curve that is not simply connected, and let $X ~$ be the universal cover of $X$ . We study the set of irreducible real algebrai…

math.NT2025

The Asai--Flach Euler system in $p$ -adic families

David Loeffler, Arshay Sheth

We show that the Euler system for the Asai representation corresponding to a Hilbert modular eigenform over a real quadratic field, constructed by Lei, Loeffler and Zerbes (2018),…

Chebyshev's bias for modular forms

Real geometric transcendence for uniformization maps of algebraic Riemann surfaces

The Asai--Flach Euler system in p-adic families

The Asai--Flach Euler system in $p$ -adic families