Hybrid bounds for quadratic Weyl sums and arithmetic applications Academic Article uri icon

abstract

  • Abstract Let D < 0 ${D > 0}$ be an odd fundamental discriminant and q be a prime number which splits in ( D ) ${{mathbb {Q}}(sqrt{D})}$ . Given a suitable smooth function f supported on [ X , 2 X ] ${[X, 2X]}$ for X 1, we establish a uniform bound in X , D ${X, D}$ and q for c 0 ( mod q ) W h ( D ; c ) f ( c ) , $ {sum _{c equiv 0 hspace*{1.42262pt}(operatorname{mod} ~q)}W_h(D;c)f(c)}, $ where

    authors

published proceedings

  • FORUM MATHEMATICUM

author list (cited authors)

  • Liu, S., & Masri, R.

citation count

  • 1

complete list of authors

  • Liu, Sheng-Chi||Masri, Riad

publication date

  • November 2015