Recently R. M. Wilson used Fleck’s congruence and Weisman’s extension to present a useful lemma on polynomials modulo prime powers, and applied this lemma to reprove the Ax-Katz theorem on solutions of congruences modulo p and deduce various results on codewords in p-ary linear codes with weights. In light of the recent generalizations of Fleck’s congruence given by D. Wan, and D. M. Davis and ...

Abstract: The proof of Proposition 4 in Hermalin and Katz (1991) is incorrect, because it fails to check post-renegotiation utilities against the incentive compatibility constraints. This note states and proves a comparable proposition with a slightly stronger assumption regarding the monotonicity of bargaining. This result vindicates the central intuition of Hermalin and Katz about the potenti...

1.—Department of Physics, The Ilse Katz Center for Nano and Meso Scale Science and Technology, Ben-Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel. 2.—Department of Electrical Engineering, Solid State Institute and Microelectronic Center, Technion, Haifa 32000, Israel. 3.—Department of Materials Engineering, The Ilse Katz Center for Nano and Meso Scale Science and Technol...

In this article we prove conditions under which a certain parabolic group cohomology space over a finite field F is a faithful module for the Hecke algebra of Katz modular forms over an algebraic closure of F. These results can e.g. be used to compute Katz modular forms of weight one with methods of linear algebra over F. MSC Classification: 11F25 (primary), 11F33, 11F67, 11Y40 (secondary).