3 papers
math.NT2026
A recurrence in logarithmic Möbius sums with coprimality conditions via Euler--Maclaurin
Sebastian Zuniga-Alterman
We derive a recurrence for logarithmically weighted Möbius sums by combining Möbius inversion with the Euler--Maclaurin summation formula. Consequently, starting from estimates of…
math.NT2026
Low Lying Zeros of Dedekind Zeta Functions
Timothy S. Trudgian, Sebastian Zuniga-Alterman
Let be a number field of degree , and let denote the smallest absolute value of the imaginary part of a non-trivial zero of its Dedekind zeta function. In 1979, Hof…
math.NT2024
Weighted sieves with switching
Kaisa Matomäki, Sebastian Zuniga Alterman
Weighted sieves are used to detect numbers with at most prime factors with as small as possible. When one studies problems with two variables in somewhat sym…