On characters of order p (mod p²)

• Autorzy: Leo Murata
• Języki publikacji: EN

Kategorie tematyczne

• 11L40: Estimates on character sums
• 11N25: Distribution of integers with specified multiplicative constraints
• 11L05: Gauss and Kloosterman sums; generalizations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998-1999
• Tom: 87
• Numer: 3
• Strony: 245-253

Daty

wydano

1999

otrzymano

1997-12-22

Twórcy

autor

Leo Murata

• Department of Mathematics, Meiji-Gakuin University, 1518 Kamikurata, Totsuka, Yokohama, 244 Japan

Bibliografia

• [1] R. C. Baker, Diophantine Inequalities, Clarendon Press, Oxford, 1986.
• [2] D. A. Burgess, On character sums and primitive roots, Proc. London Math. Soc. (2) 12 (1962), 179-192.
• [4] D. R. Heath-Brown, An estimate for Heilbronn's exponential sum, in: Analytic Number Theory, Progr. Math. 136, Birkhäuser, 1996, 451-463.
• [5] H. L. Montgomery and R. C. Vaughan, Exponential sums with multiplicative coefficients, Invent. Math. 43 (1977), 69-82.
• [6] R. Odoni, On Gauss sums $(mod p^n)$, n ≥ 2, Bull. London Math. Soc. 5 (1973), 325-327.
• [7] R. E. A. C. Paley, A theorem on characters, J. London Math. Soc. 7 (1932), 28-32.