Search
Search Results
-
On Locally Finite Groups Saturated by Full and Special Linear Groups over Finite Fields
Every locally finite group saturated by groups from the set of projective special linear groups of a fixed degree over finite fields is known to be...
-
Zeros of Complete Symmetric Polynomials over Finite Fields
Wan and Zhang (2021) obtained a nontrivial lower bound for the number of zeros of complete symmetric polynomials over finite fields, and proposed a...
-
Approximate Synchronization of Multi-Agent Systems over Finite Fields
In this paper, the approximate synchronization of leader-follower multiagent systems (MASs) over finite fields is studied in regard to local and...
-
Hypergeometric functions over finite fields
We give a definition of generalized hypergeometric functions over finite fields using modified Gauss sums, which enables us to find clear analogy...
-
Kampé de Fériet hypergeometric functions over finite fields
Kampé de Fériet hypergeometric functions are two-variable hypergeometric functions, which are a generalization of Appell’s functions. It is known...
-
An effective local-global principle and additive combinatorics in finite fields
We use recent results about linking the number of zeros on algebraic varieties over ℂ, defined by polynomials with integer coefficients, and on their...
-
Galois Stratification over Finite Fields
Chapter 34 establishes the Galois stratification procedure over a fixed field K with elimination theory. The outcome is an explicit decision...
-
Classification of singular del Pezzo surfaces over finite fields
In this article, we consider weak del Pezzo surfaces defined over a finite field, and their associated, singular, anticanonical models. We first...
-
On inverted Kloosterman sums over finite fields
The classical n -variable Kloosterman sums over finite fields are well understood by Deligne’s theorem from complex point of view and by Sperber’s...
-
Product formulas for hypergeometric functions over finite fields
Many product formulas are known classically for generalized hypergeometric functions over the complex numbers. In this paper, we establish some...
-
A new construction for involutions over finite fields
In 2020, Niu et al. [Cryptogr. Commun., 2020, 12(2): 165–185] studied the fixed points of involutions over the finite field with q -elements. This...
-
Drinfeld Modules over Finite Fields
In this chapter we study Drinfeld modules defined over a finite field...
-
On Character Sums in Finite Fields
For polynomial character sums in finite fields, an analog of the known conjecture on the distribution of values of the Kloosterman sums is proposed.
-
Some Open Questions about Curves and Abelian Varieties over Finite Fields
This is an entirely expository paper. We explain some open questions about curves and abelian varieties over finite fields, and about possible...
-
A Converse Theorem for Split SO2l over Finite Fields
We prove a converse theorem for split even special orthogonal groups over finite fields. This is the only case left on converse theorems of classical...
-
Automorphism Groups of Simple Abelian Fourfolds over Finite Fields and Jordan Constants
We give a classification of maximal elements of the set of finite groups that can be realized as the full automorphism groups of simple polarized...
-
-
Structurally Unstable Quadratic Vector Fields of Codimension Two: Families Possessing One Finite Saddle-Node and a Separatrix Connection
This paper is part of a series of works whose ultimate goal is the complete classification of phase portraits of quadratic differential systems in...
