Rad HAZU, Matematičke znanosti, Vol. 24 (2020), 39-48.

SQUARE-FULL PRIMITIVE ROOTS IN SHORT INTERVALS

Pinthira Tangsupphathawat, Teerapat Srichan and Vichian Laohakosol

Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand
e-mail: fscitrp@ku.ac.th
e-mail: fscivil@ku.ac.th

Abstract.   Using the character sum method of Shapiro and the work of Liu based on the exponent pair technique, an asymptotic formula for the number of square-full primitive roots modulo a prime in short intervals is obtained.

2020 Mathematics Subject Classification.   11L70, 11N69.

Key words and phrases.   Primitive roots, square-full integers, short intervals.

DOI: https://doi.org/10.21857/90836c7nxy

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