Arithmetic properties of numbers with restricted digits
Arithmetic properties of polynomial specializations over finite fields
Arithmetic properties of positive integers with fixed digit sum.
In this paper, we look at various arithmetic properties of the set of those positive integers n whose sum of digits in a fixed base b > 1 is a fixed positive integer s. For example, we prove that such integers can have many prime factors, that they are not very smooth, and that most such integers have a large prime factor dividing the value of their Euler φ function.
Arithmetic Subseries of Series with Multiplicative Terms
Arithmetical notes, IX. On the set of integers representable as a product of a prime and square
Arithmetical properties of finite rings and algebras, and analytic number theory. VI. Maximum Orders of Magnitude.
Arithmetical properties of finite rings and algebras, and analytic number theory.
Arithmetical properties of finite rings and algebras, and analytical number theory. V. Categories and relative analytic number theory.
Arithmetical properties of finite rings and algebras, and analytic number theory. IV. Relative asymptotic enumeration and L-series.
Arithmetical properties of finite rings and algebras, and analytic number theory. III. Finite modules and algebras over Dedekind domains.
Arithmetical properties of finite rings and algebras, and analytic number theory. II.
Arithmetical semigroups I: direct factors.
Arithmetical semigroups II: sieving by large and small prime elements. Sets of multiples.
Arithmetical Semigroups III: Elements With Prime Factors in Residue Classes.
Arithmetical Semigroups V: Multiplicative Functions.
Aritmetika III – změny číslic vedoucí k prvočíslům aneb variace na Bertrandův postulát
Prvočísla a otázky s nimi spojené představují často jedny z nejtěžších problémů matematiky a mnohé z nich zůstávají stále otevřené. V tomto článku se zabýváme otázkou, jak blízko ke zvolenému číslu již můžeme nalézt nějaké prvočíslo. Na základě známých tvrzení lze vyslovit hypotézu, že z každého přirozeného čísla lze již změnou nejvýše dvou číslic získat prvočíslo. Úvahy, kterými rozvíjíme známé výsledky, jsou čistě aritmetické povahy. Vyslovená hypotéza, která je závislá na hypotéze z (Hanson,...
Artin's conjecture on primes with prescribed primitive roots
Aspectos computacionales de los números primos (I).
Asymptotic aspects of the Diophantine equation
Asymptotic behaviour of some infinite products involvingprime numbers