Integers with identical digits
Integers with no large prime factors
Integers without large prime factors
Integers without large prime factors, II
Integers without large prime factors in short intervals and arithmetic progressions
Integer-valued polynomials on algebras: a survey
We compare several different concepts of integer-valued polynomials on algebras and collect the few results and many open questions to be found in the literature.
Integer-valued quadratic forms and quadratic Diophantine equations.
Integral bases in algebraic number fields.
Integral canonical models of Shimura varieties
The aim of these notes is to provide an introduction to the subject of integral canonical models of Shimura varieties, and then to sketch a proof of the existence of such models for Shimura varieties of Hodge and, more generally, abelian type. For full details the reader is refered to [Ki 3].
Integral differentials and Fermat congruences.
Integral -structures of Wach modules. (-structures entières et modules de Wach.)
Integral geometry and real zeros of Thue-Morse polynomials.
Integral identities and constructions of approximations to zeta-values
Some general construction of linear forms with rational coefficients in values of Riemann zeta-function at integer points is presented. These linear forms are expressed in terms of complex integrals of Barnes type that allows to estimate them. Some identity connecting these integrals and multiple integrals on the real unit cube is proved.
Integral minimalisations improvement for Murphy's polynomial selection algorithm.
Integral points of a modular curve of level 11
Integral points of Pn - ... 2n + 1 hyperplanes in general position.
Integral Points on Certain Elliptic Curves
Integral points on elliptic curves defined by simplest cubic fields.
Integral points on the elliptic curve
Let be a fixed odd prime. We combine some properties of quadratic and quartic Diophantine equations with elementary number theory methods to determine all integral points on the elliptic curve . Further, let denote the number of pairs of integral points on with . We prove that if , then or depending on whether or .
Integral power sums of Hecke eigenvalues