3 citations · 4 across the 4 of their papers we have counts for
7 papers · 1 filter
Sums of singular series and primes in short intervals in algebraic number fields
Vivian Kuperberg, Brad Rodgers, Edva Roditty-Gershon
Gross and Smith have put forward generalizations of Hardy - Littlewood twin prime conjectures for algebraic number fields. We estimate the behavior of sums of a singular series tha…
Moments of quadratic twists of elliptic curve L-functions over function fields
H. M. Bui, Alexandra Florea, Jonathan P. Keating +1
We calculate the first and second moments of L-functions in the family of quadratic twists of a fixed elliptic curve E over F_q[x], asymptotically in the limit as the degree of the…
Variance of sums in arithmetic progressions of divisor functions associated with higher degree l-functions in
Chris Hall, Jonathan P. Keating, Edva Roditty-Gershon
We compute the variances of sums in arithmetic progressions of generalised k-divisor functions related to certain L-functions in , in the limit as . Th…
Variance of sums in arithmetic progressions of arithmetic functions associated with higher degree -functions in
Chris Hall, Jonathan P. Keating, Edva Roditty-Gershon
We compute the variances of sums in arithmetic progressions of arithmetic functions associated with certain -functions of degree two and higher in , in the limi…
Square-full polynomials in short intervals and in arithmetic progressions
Edva Roditty-Gershon
We study the variance of sums of the indicator function of square-full polynomials in both arithmetic progressions and short intervals. Our work is in the context of the ring $F_{q…
Arithmetic correlations over large finite fields
J. P. Keating, E. Roditty-Gershon
The auto-correlations of arithmetic functions, such as the von Mangoldt function, the Möbius function and the divisor function, are the subject of classical problems in analytic nu…