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math.NT2009★ 56 cited
On modular signs
Emmanuel Kowalski, Yuk Kam Lau, Kannan Soundararajan +1
We consider some questions related to the signs of Hecke eigenvalues or Fourier coefficients of classical modular forms. One problem is to determine to what extent those signs, for…
math.NT2009
Amplification arguments for large sieve inequalities
Emmanuel Kowalski
We present a new proof of the "arithmetic" large sieve inequality, starting from the corresponding "harmonic" inequality, which is based on an amplification idea. We show that this…