Kloosterman sum

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:defines S(a,b;p) = sum_{x mod p, x ≠ 0} exp(2πi(ax + b x^{-1})/p)
gptkbp:field number theory
https://www.w3.org/2000/01/rdf-schema#label Kloosterman sum
gptkbp:namedAfter gptkb:Hendrik_Kloosterman
gptkbp:parameter a
b
p
gptkbp:property |S(a,b;p)| ≤ 2√p
gptkbp:relatedTo gptkb:Weil_conjectures
exponential sum
gptkbp:usedIn modular forms
analytic number theory
automorphic forms
gptkbp:bfsParent gptkb:Gauss_sum
gptkbp:bfsLayer 7