An additive problem in finite fields with powers of elements of large multiplicative order

作者：Cilleruelo Javier^*; Zumalacarregui Ana

来源：Revista Matematica Complutense, 2014, 27(2): 501-508.

DOI：10.1007/s13163-013-0134-2

• Primitive roots
• Finite fields
• Sidon sets
• Difference sets

For a given finite field , we study sufficient conditions to guarantee that the set represents all the nonzero elements of . We investigate the same problem for and as a consequence we prove that any element in the finite field of elements has a representation of the form whenever has multiplicative order at least . This improves the previous known bound for a question possed by A. Odlyzko.

• 出版日期2014-7