On the sums $S_χ(m)$

• Autorzy: J. C. Peral
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 69
• Numer: 1
• Strony: 11-19

Daty

wydano

1995

otrzymano

1993-03-23

poprawiono

1994-06-20

Twórcy

autor

J. C. Peral

• Departamento de Matemáticas, Facultad de Ciencias, Universidad del País Vasco, Apartado 644, 48080 Bilbao, Spain

Bibliografia

• [1] T. M. Apostol, Introduction to Analytic Number Theory, Springer, New York, 1976.
• [2] D. A. Burgess, On character sums and L-series II, Proc. London Math. Soc. 13 (1963), 524-536.
• [3] D. A. Burgess, Estimating $L_χ(1)$, Norske Vid. Selsk. Forh. 39 (1966), 101-108.
• [4] A. Hildebrand, On the constant in the Pólya-Vinogradov inequality, Canad. Math. Bull. 31 (3) (1988), 347-352.
• [5] H. Montgomery, Distribution questions concerning a character sum, in: Colloq. Math. Soc. János Bolyai 13, North-Holland, 1974, 195-203.
• [6] H. Montgomery and R. C. Vaughan, Exponential sums with multiplicative coefficients, Invent. Math. 43 (1977), 69-82.
• [7] J. Pintz, Elementary methods in the theory of the L-functions VII, Acta Arith. 32 (1977), 397-406.
• [8] G. Pólya, Über die Verteilung der quadratischen Reste und Nichtreste, Nachr. Königl. Gesell. Wiss. Göttingen Math.-Phys. Kl. 1918, 21-29.
• [9] P. J. Stephens, Optimizing the size of L(χ,1), Proc. London Math. Soc. 24 (1972), 1-14.
• [10] M. Toyoizumi, On certain character sums, Acta Arith. 55 (1990), 229-232.
• [11] K. S. Williams, A class of character sums, J. London Math. Soc. 46 (1971), 67-72.