108 citations · 814 across the 70 of their papers we have counts for
43 papers · 1 filter
The classification of real quadratic fields which satisfy Hammarhjelm's condition
Zeev Rudnick
A real quadratic field satisfies Hammarhjelm's condition if its ring of integers has unique factorization, and the Minkowski lattice of its ring of integers contains no point in a…
On a family of sparse exponential sums
Moubariz Garaev, Zeev Rudnick, Igor Shparlinski
We investigate exponential sums modulo primes whose phase function is a sparse polynomial, with exponents growing with the prime. In particular, such sums model those which appear…
Zeros of modular forms and Faber polynomials
Zeév Rudnick
We study the zeros of cusp forms of large weight for the modular group, which have a very large order of vanishing at infinity, so that they have a fixed number D of finite zeros i…
On the sum of digits of in
Zeev Rudnick
For certain primes , the average digit in the expansion of was found to have a deviation from random behaviour related to the class number of the imaginary quadratic field…
The metric theory of the pair correlation function for small non-integer powers
Zeév Rudnick, Niclas Technau
For , we show that for almost all , the pair correlation function of the sequence of fractional parts of is Poissonian.
Pair arithmetical equivalence for quadratic fields
Wen-Ching Winnie Li, Zeev Rudnick
Given two distinct number fields and , and finite order Hecke characters of and of respectively, we say that the pairs and are arithmetical…