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math.NT2023★ 1 cited
Applications of Moments of Dirichlet Coefficients in Elliptic Curve Families
Zoë Batterman, Aditya Jambhale, Steven J. Miller +4
The moments of the coefficients of elliptic curve L-functions are related to numerous arithmetic problems. Rosen and Silverman proved a conjecture of Nagao relating the first momen…
math.CO2023
The Reversed Zeckendorf Game
Zoë X. Batterman, Aditya Jambhale, Steven J. Miller +4
Zeckendorf proved that every natural number can be expressed uniquely as a sum of non-consecutive Fibonacci numbers, called its Zeckendorf decomposition. Baird-Smith, Epstein,…