scholarly journals Sums of multiplicative characters with additive convolutions

2017 ◽  
Vol 296 (1) ◽  
pp. 256-269 ◽  
Author(s):  
A. S. Volostnov ◽  
I. D. Shkredov
Keyword(s):  
Multiplicative Characters

scholarly journals Stratification for Multiplicative Character Sums

2018 ◽  
Vol 2020 (10) ◽  
pp. 2881-2917 ◽  
Author(s):  
Junyan Xu
Keyword(s):  
Parameter Space ◽  
Rational Functions ◽  
Character Sums ◽  
Character Sum ◽  
Maximum Weight ◽  
Joint Work ◽  
Multiplicative Character ◽  
Multiplicative Characters ◽  
Sums Of Products ◽  
Multiplicative Character Sums

Abstract We prove a stratification result for certain families of n-dimensional (complete algebraic) multiplicative character sums. The character sums we consider are sums of products of r multiplicative characters evaluated at rational functions, and the families (with nr parameters) are obtained by allowing each of the r rational functions to be replaced by an “offset”, that is, a translate, of itself. For very general such families, we show that the stratum of the parameter space on which the character sum has maximum weight $n+j$ has codimension at least j⌊(r − 1)/2(n − 1)⌋ for 1 ≤ j ≤ n − 1 and ⌈nr/2⌉ for j = n. This result is used to obtain multivariate Burgess bounds in joint work with Lillian Pierce.

Heterosis and gene effects of multiplicative characters: theoretical relationships and experimental results from Vicia faba L.

1994 ◽  
Vol 88-88 (3-4) ◽  
pp. 343-348 ◽  
Author(s):  
A. E. Melchinger ◽  
M. Singh ◽  
W. Link ◽  
H. F. Utz ◽  
E. von Kittlitz
Keyword(s):  
Vicia Faba ◽  
Experimental Results ◽  
Gene Effects ◽  
Vicia Faba L ◽  
Multiplicative Characters
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