most citedApplications of Moments of Dirichlet Coefficients in Elliptic Curve Families

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.NT2024

A Random Matrix Model for a Family of Cusp Forms

Owen Barrett, Zoë X. Batterman, Aditya Jambhale +4

The Katz-Sarnak philosophy states that statistics of zeros of -function families near the central point as the conductors tend to infinity agree with those of eigenvalues of ran…

math.ST2024

The German Tank Problem with Multiple Factories

Steven J. Miller, Kishan Sharma, Andrew K. Yang

During the Second World War, estimates of the number of tanks deployed by Germany were critically needed. The Allies adopted a successful statistical approach to estimate this info…

math.NT2024

A Survey of a Random Matrix Model for a Family of Cusp Forms

Owen Barrett, Zoë X. Batterman, Aditya Jambhale +4

The Katz-Sarnak philosophy states that statistics of zeros of -function families near the central point as the conductors tend to infinity agree with those of eigenvalues of ran…

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,…