Spectral pseudorandomness and the road to improved clique number bounds for Paley graphs
D Kunisky - Experimental Mathematics, 2024 - Taylor & Francis
We study subgraphs of Paley graphs of prime order p induced on the sets of vertices
extending a given independent set of size a to a larger independent set. Using a sufficient …
extending a given independent set of size a to a larger independent set. Using a sufficient …
Arithmetic progressions in certain subsets of finite fields
S Eyidoğan, H Göral, MK Kutlu - Finite Fields and Their Applications, 2023 - Elsevier
In this note, we focus on how many arithmetic progressions we have in certain subsets of
finite fields. For this purpose, we consider the sets S p={t 2: t∈ F p} and C p={t 3: t∈ F p} …
finite fields. For this purpose, we consider the sets S p={t 2: t∈ F p} and C p={t 3: t∈ F p} …
[PDF][PDF] Ternary cyclotomic numbers and ternary Jacobi sums
Z Tang, X Fan - AIMS Mathematics, 2024 - aimspress.com
Cyclotomic numbers and Jacobi sums, introduced over two centuries ago by Gauss and
Jacobi, respectively, are pivotal in number theory and find wide applications in combinatorial …
Jacobi, respectively, are pivotal in number theory and find wide applications in combinatorial …