Ganzzahlige Funktionen natürlicher Zahlen.
Gaps in the spectrum of Nathanson heights of projective points.
Gaussian Integers
Gaussian integer is one of basic algebraic integers. In this article we formalize some definitions about Gaussian integers [27]. We also formalize ring (called Gaussian integer ring), Z-module and Z-algebra generated by Gaussian integer mentioned above. Moreover, we formalize some definitions about Gaussian rational numbers and Gaussian rational number field. Then we prove that the Gaussian rational number field and a quotient field of the Gaussian integer ring are isomorphic.
Gaussiana
Gcd-closed sets and determinants of matrices associated with arithmetical functions
General Dirichlet series, arithmetic convolution equations and Laplace transforms
In the earlier paper [Proc. Amer. Math. Soc. 135 (2007)], we studied solutions g: ℕ → ℂ to convolution equations of the form , where are given arithmetic functions associated with Dirichlet series which converge on some right half plane, and also g is required to be such a function. In this article, we extend our previous results to multidimensional general Dirichlet series of the form (), where is an additive subsemigroup. If X is discrete and a certain solvability criterion is satisfied,...
General -product function.
Généralisation de la théorie des fractions continues
Généralisation de l'identité de MM. Tchébychew et De Polignac
Généralisation d'un résultat de Loxton et van der Poorten
Généralisation d'une famille de Shanks
Generalization of Some Results for Exactly Covering Systems
Generalizations of Midy's theorem on repeating decimals.
Generalized continued fractions and orbits under the action of Hecke triangle groups
Generalized Eisenstein series and modified Dedekind sums.
Generalized golden ratios of ternary alphabets
Expansions in noninteger bases often appear in number theory and probability theory, and they are closely connected to ergodic theory, measure theory and topology. For two-letter alphabets the golden ratio plays a special role: in smaller bases only trivial expansions are unique, whereas in greater bases there exist nontrivial unique expansions. In this paper we determine the corresponding critical bases for all three-letter alphabets and we establish the fractal nature of these bases in dependence...
Generalized Lagrange criteria for certain quadratic Diophantine equations.
Generalized perfect numbers.
Generalized radix representations and dynamical systems II
Generalizing a theorem of Schur
In a letter written to Landau in 1935, Schur stated that for any integer , there are primes such that . In this note, we use the Prime Number Theorem and extend Schur’s result to show that for any integers and real , there exist primes such that