prime factorization/ B0250 Combinatorial mathematics C1160 Combinatorial mathematics C4290 Other computer theoryLet d(n) denote the number of positive integral divisors of n. In this paper we show that the Mbius function, 渭(N), can be computed by a single call to an oracle for d(n). We...
As in Chapter I (see the beginning of § 1 of Chapter I), we useAto denote a subsequence of the sequence ℒ0, of non-negative integers. Although our principal investigations concern infinite sequencesA, it will sometimes be appropriate to consider also finite sequences; we shall make it ...
Various quotient rings of rings B of Banach algebra A -valued continuous functions on a completely regular Hausdorff Space X are constructed in terms of ... SK Jain,AI Singh - 《Mathematische Zeitschrift》 被引量: 5发表: 2000年 Kinematics, Dynamics, and Estimation of Rigid-Body Motion Using ...
In particular this formul... A Parusinski,P Pragacz - arXiv 被引量: 117发表: 1998年 On the String-Theoretic Euler Number of 3-dimensional A-D-E Singularities oindent The stringtheoretic Efunctions Estr(X;u,v) of normal complex varieties X having at most logterminal singularities are ...
Studies in Applied MathematicsG. Venturini, Iterates of number theoretic functions with periodic rational coefficients (generalization of the 3 x + 1 problem), Stud. Appl. Math. , 86 (1992) 185–218.G. Venturini. Iterates of number-theoretic functions with periodic ratio- nal coefficients (...
Mathematics - General MathematicsIn this paper we present a new mathematical conception based on a new method for ordering the integers. The method relies on the assumption that negative numbers are beyond infinity, which goes back to Wallis and Euler. We also present a new axiom system, the ...
periodic functionscontinuity theoremrate of convergence/ B0250 Combinatorial mathematics C1160 Combinatorial mathematicsWe prove the existence of the limiting distribution of a class of functions which are bounded and can be approximated by periodic functions in L1-norm. This had been investigated by ...
{e} series with specific number theoretic applications in mind: aPoincar\\'{e} series for producing an explicit formula for the number of latticepoints in an expanding region in a symmetric space, a Poincar\\'{e} seriesproducing moments of $GL_n imes GL_n$ L-functions, and a Poincar\...
2000 Mathematics Subject Classification. Primary 11N37; Secondary 30B10. Key words and phrases. Arithmetic function, asymptotics,...Irrationality of power series for various number theoretic functions - Banks, Luca, et al. () Citation Context ... Fp[[X]] is transcendental over Fp(X) for any...
Growth of arithmetic functionsBulletin of the Iranian Mathematical Society - The aim of this paper is to study the balancing of prime factors and their exponents in the standard factorization of n! into primes. We obtain...doi:10.1007/s41980-022-00707-xHassani, Mehdi...