Let E be an elliptic curve defined over Q and with complex multiplication by OK , the ring of integers in an imaginary quadratic field K. Let p be a prime of good reduction for E. It is known that E(Fp) has a structure (1) E(Fp) ' Z/dpZ⊕ Z/epZ with uniquely determined dp|ep. We give an asymptotic formula for the average order of ep over primes p ≤ x of good reduction, with improved error term O...

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Abstract: Necessary and sufficient conditions for the reachability and observability of the positive electrical circuits composed of resistors, coils, condensators and voltage sources are established. Definitions of the input-decoupling zeros, output-decoupling zeros and input-output decoupling zeros of the positive electrical circuits are proposed. Some properties of the decoupling zeros of po...

A novel multivariable laboratory process that consists of four interconnected water tanks is presented. The linearized dynamics of the system have a multivariable zero that is possible to move along the real axis by changing a valve. The zero can be placed in both the lefr and the right half-plane. I n this way the quadrupletank process is ideal for illustrating many concepts in multivariable c...

The present study tests the generalizability of the hidden investment hypothesis (Wakabayashi, Graen, Graen, & Graen, 1988) for Japanese management systems. The hidden investment hypothesis was derived from a 13-year longitudinal study of the career progress of a cohort of 85 college graduates who joined a single Japanese company in the same year, and states that the higher the quality of the v...

Decision makers have been found to bias their interpretation of incoming information to support an emerging judgment (predecisional information distortion). This is a robust finding in human judgment, and was recently also established and measured in physicians’ diagnostic judgments (Kostopoulou et al. 2012). The two studies reported here extend this work by addressing the constituent modes of ...

Design of the leading zero anticipator ( L a ) or detector (LZD) is pivotal to the normalization of results for addition and fused multiplication-addition in highperjormance floating point processors. This paper formalizes the analysis and describes some alternative organizations and implementations from the known art. It shows how choices made in the design are o fen dependent on the overall d...

admits a meromorphic continuation to the entire complex plane, with the unique and simple pole of residue 1 at s = 1. In the half-plane {s : Rs ≤ 0}, the Riemann zeta function has simple zeros at −2,−4,−6, . . ., and only at these points which are called trivial zeros. There exist also non-trivial zeros in the band {s : 0 < Rs < 1}. We refer for these basic facts for instance to [Bl] (Propositi...