Gauss–Manin connection in disguise: Dwork family

Higher Rank Case of Dwork

Dedicated to the memory of Bernard Dwork 1. Introduction In this series of two papers, we prove the p-adic meromorphic continuation of the pure slope L-functions arising from the slope decomposition of an overconvergent F-crystal, as conjectured by Dwork 6]. More precisely, we prove a suitable extension of Dwork's conjecture in our more general setting of-modules, see section 2 for precise deen...

Effects of family connection and family individuation.

This prospective longitudinal study explores the differential effects of family connection and family individuation measured during adolescence on later midlife well-being. Home interviews were held in the 1970s with 99 families of 245 adolescents. Connection and individuation in the family system were measured by self-report, a projective exercise, and coding of taped family interactions. Twen...

Abuses of Ajtai-Dwork Cryptosystem

Ajtai and Dwork 2] have recently introduced a probabilistic public-key en-cryption scheme which is secure under the assumption that a certain computational problem on lattices is hard on the worst-case. Their encryption method may cause decrytion errors, though with small probability. Goldre-ich, Goldwasser, and Halevi 7] later modiied the encryption method of Ajtai and Dwork and made Ajtai-Dwo...

Bernard Dwork 1923--1998

Bernard Morris Dwork, “Bernie” to those who had the privilege of knowing him, died on May 9, 1998, just weeks short of his seventyfifth birthday. He is survived by his wife of fifty years, Shirley; his three children, Andrew, Deborah, and Cynthia; his four granddaughters; his brothers Julius and Leo; and his sister, Elaine Chanley. We mention family early in this article, both because it was su...

Dualism in Disguise