scholarly journals One kind of character sum modulo a prime p and its recurrence formula

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Wenpeng Zhang ◽  
Zhuoyu Chen
Keyword(s):  
Recurrence Formula ◽  
Character Sum

scholarly journals ON SOLUTIONS TO SOME POLYNOMIAL CONGRUENCES IN SMALL BOXES

2013 ◽  
Vol 89 (2) ◽  
pp. 300-307
Author(s):  
IGOR E. SHPARLINSKI
Keyword(s):  
Exponential Sums ◽  
Polynomial Systems ◽  
Side Length ◽  
Character Sum ◽  
Number Of Solutions ◽  
Polynomial Congruences

AbstractWe use bounds of mixed character sum to study the distribution of solutions to certain polynomial systems of congruences modulo a prime $p$. In particular, we obtain nontrivial results about the number of solutions in boxes with the side length below ${p}^{1/ 2} $, which seems to be the limit of more general methods based on the bounds of exponential sums along varieties.

scholarly journals Evaluation of a cubic character sum using the √−19 division points of the curve Y2 = X3 − 23 · 19X + 2 · 192

1984 ◽  
Vol 19 (2) ◽  
pp. 184-194 ◽  
Author(s):  
Dharam Bir Rishi ◽  
J.C. Parnami ◽  
A.R. Rajwade
Keyword(s):  
Character Sum

Fast computation of Charlier moments and its inverses using Clenshaw’s recurrence formula for image analysis

2018 ◽  
Vol 78 (9) ◽  
pp. 12183-12201 ◽  
Author(s):  
Tarik Jahid ◽  
Hicham Karmouni ◽  
Abdeslam Hmimid ◽  
Mhamed Sayyouri ◽  
Hassan Qjidaa
Keyword(s):  
Image Analysis ◽  
Recurrence Formula ◽  
Fast Computation
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