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math.NT2022
Non-Archimedean Koksma inequalities, variation, and Fourier analysis
Clayton Petsche, Naveen Somasunderam
We examine four different notions of variation for real-valued functions defined on the compact ring of integers of a non-Archimedean local field, with an emphasis on regularity pr…
math.NT2019
A LeVeque-Type Inequality on the ring of -adic integers
Naveen Somasunderam
We derive an inequality on the discrepancy of sequences on the ring of -adic integers $\ZZ_p$ using techniques from Fourier analysis. The inequality is used to obtain an upper b…