Average liar count for degree-2 Frobenius pseudoprimes

Jul 17, 2017 - ANDREW FIORI AND ANDREW SHALLUE. Abstract. ...... [Lan02] Serge Lang, Algebra, third ed., Graduate Texts in Mathematics, vol. 211 ...

0 downloads 3 Views 252KB Size

Recommend Documents

Mar 7, 2012 - If for all x ∈ UN , the sum Sd(x) is a multiple of bk − 1 we say that N has ... Applying the above commentary, to the Fermat's little theorem the con ...

May 4, 2011 - The bound (1.4) is best possible due to an unpublished result of Marklof, and clearly implies (1.3). The main purpose of this paper is to extend the results stated above,. i.e., (1.2), (1.3) and (1.4), to the generalized Frobenius numbe

Oct 15, 2017 - modulo p to obtain the elliptic curve group E(Z/pZ) = E(Fp). .... For a prime p, recall that the points of order 2 in E(Z/pZ) are exactly the points of ...

Sep 16, 2011 - We prove that an odd number n is an Euler pseudoprime for exactly one half of the admissible bases if and only if n is a special Carmichael.

Jun 22, 2018 - (2) (5 | n) = −1 so n is not a square modulo 5, and. (3) Fn+1 ≡ 0 ... In [PSW80] they credit R. Baillie with the discovery that combin- ing a Fermat ...

Apr 13, 2010 - Abstract. The concept of informal mathematical proof considered in intu- itionism is apparently vulnerable to a version of the liar paradox. However, a careful reevaluation of this concept reveals a subtle error whose correction blocks

Jul 9, 2016 - Data Without Sequential Ignorability and Its Appli- cation in Dental Studies. Zijian Guo, Dylan S. Small. Department of Statistics, University of Pennsylvania Wharton School, Philadel- .... review of applications of the IV method. Metho

May 1, 2017 - Automatic fake news detection is a chal- lenging problem in deception detection, and it has tremendous real-world politi- cal and social impacts. However, statis- tical approaches to combating fake news has been dramatically limited by

Oct 1, 2016 - TIBERIU COCONET¸. Babes-Bolyai University. Faculty of Economics and Business Administration. Str. Teodor Mihali, nr.58-60. 400591 Cluj-Napoca, Romania [email protected] MARCUS ANDREI. Babes Bolyai University. Faculty of

Feb 2, 2019 - ... most well-known primality test is based on Fermat's Little Theorem: if p ... definition of a pseudoprime from groups arising from elliptic curves ...

Nov 20, 2014 - Abstract. The analysis of count data is commonly done using Poisson models. Negative binomial models are a straightforward and readily motivated generalization for the case of overdispersed data, i.e., when the observed variance is gre

Dec 28, 2011 - But perhaps our intuition about truth was developed .... mate because the word “holds” functions as a synonym for “is true”. We might just.

Mar 27, 2016 - has coefficients in A, and (additive inverse of) the next-to-leading coefficient of .... From this expansion it is straightforward to deduce the identity.

Jun 9, 2013 - WOLSTENHOLME AND MORLEY, PRIMES AND PSEUDOPRIMES. 7. 3. Wolstenholme pseudoprimes. The aim of this section is to characterize Wolstenholme pseudoprimes of the form p2 . Developing the following product in Zp4 one obtains: Wp2 = (. 2p2 â

Sep 2, 2015 - We can restate Fermat's Little Theorem by algebraically factoring. (repeatedly) the difference of squares that ... This fact forms the basis of the Miller-Rabin probabilistic primality test [13]. Define ψm to be the .... We combine two

Nov 6, 2015 - To Don Passman on the occasion of his 75th birthday ...... Juan Cuadra and Ehud Meir, On the existence of orders in semisimple Hopf algebras ...

Jun 8, 2017 - 36. 4.5. Generalized convolution morphisms p : XP(w•) → XQ(w′′. I,•). 38. 4.6. Relation of convolution morphisms to convolutions of perverse sheaves. 40. 5. Proofs of Theorems 2.1.1 and 2.1.2 ..... affine cells in each dimensi

Oct 7, 2008 - P. Dragon has independently confirmed ... of B by span of the images of the operators Di, i.e. B/Di = B .... Let ω be the image of dxdt in H. 3#.

Jun 22, 2017 - natural hypotheses, a free-filtered extension of algebras is Frobenius if and only .... For the reader's convenience we have provided a brief introduction to .... 6. STEPHANE LAUNOIS & LEWIS TOPLEY. There is a natural filtration on Hom

Jul 30, 2013 - where c is the smallest odd prime number with the Jacobi symbol J(c/n) = −1. ... This means that 7 is a Frobenius prime, and not a FPP.

Dec 11, 2015 - investigations. Given a non-unital monad (F, m) on any category A, a non-unital module ̺ : F(A) → A is called firm (see [2]) if the defining fork.

Dec 28, 2010 - tuned so that one of the detectors, which we will call D, will never activate unless something is ... surprising feature of this experiment is that when detector D is activated, the atom is determined to be in the ...... Conference in

Jul 17, 2013 - the firm Frobenius algebra arises from a co-Frobenius coalgebra over a base ... Key Words: firm Frobenius monad, firm Frobenius adjunction,.

Oct 24, 2012 - a0m := apm for a ∈ A, m ∈ φ∗M. If we interpret φ : A → A as a .... so one has the usual tools of localization and completion at one's disposal. But after ... It suggests to view the source of F : X → X in a different way as