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math.NT2026
Negative bias in moments of the Legendre family of elliptic curves
Ben Kane, Mikuláš Zindulka
We determine the bias in higher moments of the Legendre family of elliptic curves in view of the Negative Bias Conjecture of S. J. Miller. We show that every lower order term is ei…
math.NT2026
A direct proof of Mono-Rolen-Stumpenhusen and new constructions via the Maass raising operators
Kathrin Bringmann, Ben Kane
In this paper, we give a direct conceptual proof of the main result of Mono, Rolen, and Stumpenhusen, using differential operators. More precisely, we realize their functions $ω_{k…