On the distribution of primitive roots mod p

• Autorzy: Cristian Cobeli , Alexandru Zaharescu
• Języki publikacji: EN

Kategorie tematyczne

• 11A07: Congruences; primitive roots; residue systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 83
• Numer: 2
• Strony: 143-153

Daty

wydano

1998

otrzymano

1997-03-04

Twórcy

autor

Cristian Cobeli

• Institute of Mathematics of, the Romanian Academy, P.O. Box 1-764, 70700 Bucureşti, Romania

autor

Alexandru Zaharescu

• Institute of Mathematics of, the Romanian Academy, P.O. Box 1-764, 70700 Bucureşti, Romania

Bibliografia

• [1] D. A. Burgess, On character sums and primitive roots, Proc. London Math. Soc. (3) 12 (1962), 179-192.
• [2] P. X. Gallagher, On the distribution of primes in short intervals, Mathematika 23 (1976), 4-9.
• [3] D. R. Heath-Brown, Zero-free regions for Dirichlet L-functions, and the least prime in an arithmetic progression, Proc. London Math. Soc. (3) 64 (1992), 265-338.
• [4] C. Hooley, On the intervals between consecutive terms of sequences, in: Proc. Sympos. Pure Math. 24, Amer. Math. Soc., 1973, 129-140.
• [5] J. Johnsen, On the distribution of powers in finite fields, J. Reine Angew. Math. 253 (1971), 10-19.
• [6] S. Ramanujan, Highly composite numbers, Proc. London Math. Soc. (2) 14 (1915), 347-409.
• [7] B. Rosser and L. Schoenfeld, Approximate formulas for some functions of prime numbers, Illinois J. Math. 6 (1962), 64-94.
• [8] A. Weil, On some exponential sums, Proc. Nat. Acad. Sci. U.S.A. 34 (1948), 204-207.