output
19942026
most citedBrownian distance covariance

857 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing 2007 · math.NTShow all

5 papers · 2 filters

math.NT2007★ 23 cited

l-Adic representations associated to modular forms over imaginary quadratic fields

Tobias Berger, Gergely Harcos

Let pi be a regular algebraic cuspidal automorphic representation of GL(2) over an imaginary quadratic number field K such that the central character of pi is invariant under the n…

math.NT2007★ 1 cited

Local-global principles for 1-motives

David Harari, Tamas Szamuely

Building upon our arithmetic duality theorems for 1-motives, we prove that the Manin obstruction related to a finite subquotient $\Be (X)$ of the Brauer group is the only obstructi…

math.NT2007★ 50 cited

The spectral decomposition of shifted convolution sums

Valentin Blomer, Gergely Harcos

We obtain a spectral decomposition of shifted convolution sums in Hecke eigenvalues of holomorphic or Maass cusp forms.

math.NT2007★ 2 cited

Multiplicative functions in arithmetic progressions

Antal Balog, Andrew Granville, K. Soundararajan

We develop a theory of multiplicative functions (with values inside or on the unit circle) in arithmetic progressions analogous to the well-known theory of primes in arithmetic pro…

math.NT2007★ 17 cited

Binary linear forms over finite sets of integers

Melvyn B. Nathanson, Kevin O'Bryant, Brooke Orosz +2

Let A be a finite set of integers. For a polynomial f(x_1,...,x_n) with integer coefficients, let f(A) = {f(a_1,...,a_n) : a_1,...,a_n \in A}. In this paper it is proved that for e…