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Contemporary Problems in Number Theory
August 7, 2014 12:45, Moscow, Steklov Mathematical Institute, Room 530 (8 Gubkina)
 


Arithmetic sums with multiplicative coefficients

Ke Gong

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Abstract: We shall report on the new estimates for Kloosterman sums and shifted character sums twisted by a multiplicative function $f$ satisfying $|f|\le 1$. The main tool is a modification of Bourgain–Sarnak–Ziegler's finite version of Vinogradov's inequality.
This is joint work with Professor Chaohua Jia.

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