TY - JOUR
AU - Thakur, Dinesh S.
AB - We describe the valuations of the function field Gauss sums at the infinite places, by relating them to Weierstrass gaps. This generalizes our previous results for Fq[T], in which case the valuations are all −1/(q−1), in direct analogy with the well‐known classical result that all the absolute values of Gauss sums are q½. We also investigate the sign of quadratic or higher‐order Gauss sums, giving results in the direction of Gauss' sign theorem and the work of Cassels and Matthews.
TI - Behaviour of Function Field Gauss Sums at Infinity
JF - Bulletin of the London Mathematical Society
DO - 10.1112/blms/25.5.417
DA - 1993-09-01
UR - https://www.deepdyve.com/lp/wiley/behaviour-of-function-field-gauss-sums-at-infinity-ROCGozuOp4
SP - 417
EP - 426
VL - 25
IS - 5
DP - DeepDyve
ER -