Inverse Additive Number Theory. XI. Long arithmetic progressions in sets with small sumsets
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
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.
Investigating generalized quaternions with dual-generalized complex numbers
We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values , and . Furthermore, the algebraic structures, properties and matrix forms are expressed as generalized quaternions and dual-generalized complex numbers. Finally, based on their matrix representations, the multiplication of these quaternions is restated and numerical examples are given.
Investigating geometric and exponential polynomials with Euler-Seidel matrices.
Investigations in the powersum theory II
Investigations of zeros near the central point of elliptic curve -functions (with an appendix by Eduardo Dueñez).
Involutions and trace forms on exterior powers of a central simple algebra.
Involutions Associated With Sums of two Squares
Involutory elliptic curves over
For let be a subgroup of the Atkin-Lehner involutions of the Drinfeld modular curve . We determine all and for which the quotient curve is rational or elliptic.
Irrational numbers of constant type -- a new characterization.
Irrational rapidly convergent series
Irrationalität und Transzendenz gewisser Reihen.
Irrationalitätsmaße für ea, a = 0 rational oder Liouville-Zahl.
Irrationalité de Valeurs Associées a l'Exponentielle de Carlitz.