Our previous theorems on exponential sums often did not apply or did not give sharp results when certain powers of a variable appearing in the polynomial were divisible by p. We remedy that defect inâ€¦ (More)

The authors sought to determine whether prior administration of a small, subparalyzing dose of nondepolarizing muscle relaxant would shorten the onset time of an intubating dose of muscle relaxant.â€¦ (More)

We compute a basis for the p-adic Dwork cohomology of a smooth complete intersection in projective space over a finite field and use it to give padic estimates for the action of Frobenius on thisâ€¦ (More)

In the 1960â€™s, Dwork developed a p-adic cohomology theory of de Rham type for varieties over finite fields, based on a trace formula for the action of a Frobenius operator on certain spaces ofâ€¦ (More)

We give two applications of our earlier work[4]. We compute the p-adic cohomology of certain exponential sums on An involving a polynomial whose homogeneous component of highest degree defines aâ€¦ (More)

Let f1, . . . , fr âˆˆ K[x], K a field, be homogeneous polynomials and put F = âˆ‘r i=1 yifi âˆˆ K[x, y]. The quotient J = K[x, y]/I, where I is the ideal generated by the âˆ‚F/âˆ‚xi and âˆ‚F/âˆ‚yj , is theâ€¦ (More)

usual theorem of Lagrange multipliers says that a = (a1, . . . , an) âˆˆ Y is a critical point of f |Y if and only if there exists b = (b1, . . . , br) âˆˆ R such that (a;b) âˆˆ UÃ—R is a critical point ofâ€¦ (More)

where f (j) is homogeneous of degree j. Theorem 1.4. Suppose (p, Î´) = 1 and f (Î´) = 0 defines a smooth hypersurface in P. Then L(A, f ; t) n+1 is a polynomial of degree (Î´ âˆ’ 1), all of whoseâ€¦ (More)