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math.NT2025
The integral Hasse principle for stacky curves associated to a family of generalized Fermat equations
Juanita Duque-Rosero, Christopher Keyes, Andrew Kobin +3
We characterize the integral Hasse principle for an infinite family of spherical stacky curves with genus that are defined using generalized Fermat equations, extend…
math.NT2025
Arithmetic Functions and Geometry
Andrew Kobin
In this expository note, we revisit several classical arithmetic functions - namely Euler's totient function, the divisor sum functions and Dedekind's -function - within a unify…
math.NT2022
Categorifying quadratic zeta functions
Jon Aycock, Andrew Kobin
The Dedekind zeta function of a quadratic number field factors as a product of the Riemann zeta function and the -function of a quadratic Dirichlet character. We categorify this…