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 -