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We study the minimal number of elements of maximal order occurring in a zero-sumfree sequence over a finite Abelian p-group. For this purpose, and in the general context of finite Abelian groups, we introduce a new number, for which lower and upper bounds are proved in the case of finite Abelian p-groups. Among other consequences, our method implies that, if we denote by exp(G) the exponent of the finite Abelian p-group G considered, every zero-sumfree sequence S with maximal possible length over...

Inversion of generating functions using determinants.

Chen, Kwang-Wu (2007)

Journal of Integer Sequences [electronic only]

Investigating geometric and exponential polynomials with Euler-Seidel matrices.

Dil, Ayhan, Kurt, Veli (2011)

Journal of Integer Sequences [electronic only]

Irreducible disjoint covering systems

Ivan Korec (1984)

Acta Arithmetica

Irregular imaginary fields

Konstantin Selucký, Ladislav Skula (1981)

Archivum Mathematicum

Irregular Primes and Integrality Theorems for Manifolds.

David Frank (1975)

Commentarii mathematici Helvetici

Iterated digit sums, recursions and primality

Larry Ericksen (2006)

Acta Mathematica Universitatis Ostraviensis

We examine the congruences and iterate the digit sums of integer sequences. We generate recursive number sequences from triple and quintuple product identities. And we use second order recursions to determine the primality of special number systems.

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Inteprétations combinatoires des nombres d#Euler et de Genocchi

Interpolation functions of $q$ -extensions of Apostol's type Euler polynomials.

Interprétation combinatoire des moments négatifs des valeurs de fonctions L au bord de la bande critique

Interspersions and fractal sequences associated with fractions $c^{j} / d^{k}$ .

Invariance of recurrence sequences under a Galois group.

Inverse series relations, formal power series and Blodgett-Gessel's type binomial identities.

Inverse zero-sum problems

Inverse zero-sum problems and algebraic invariants

Inverse zero-sum problems {II}

Inverse zero-sum problems {III}

Inverse zero-sum problems in finite Abelian p-groups