A mean value estimate for real character sums

D. R. Heath-Brown

Acta Arithmetica (1995)

  • Volume: 72, Issue: 3, page 235-275
  • ISSN: 0065-1036

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D. R. Heath-Brown. "A mean value estimate for real character sums." Acta Arithmetica 72.3 (1995): 235-275. <http://eudml.org/doc/206794>.

@article{D1995,
author = {D. R. Heath-Brown},
journal = {Acta Arithmetica},
keywords = {real character sums; mean value; Dirichlet -function; fourth power; zero density estimate; Dirichlet polynomial; primitive real characters},
language = {eng},
number = {3},
pages = {235-275},
title = {A mean value estimate for real character sums},
url = {http://eudml.org/doc/206794},
volume = {72},
year = {1995},
}

TY - JOUR
AU - D. R. Heath-Brown
TI - A mean value estimate for real character sums
JO - Acta Arithmetica
PY - 1995
VL - 72
IS - 3
SP - 235
EP - 275
LA - eng
KW - real character sums; mean value; Dirichlet -function; fourth power; zero density estimate; Dirichlet polynomial; primitive real characters
UR - http://eudml.org/doc/206794
ER -

References

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  1. [1] P. D. T. A. Elliott, On the mean value of f(p), Proc. London Math. Soc. (3) 21 (1970), 28-96. Zbl0218.10059
  2. [2] P. X. Gallagher, The large sieve, Mathematika 14 (1967), 14-20. Zbl0163.04401
  3. [3] M. Jutila, On mean values of L-functions and short character sums with real characters, Acta Arith. 26 (1975), 405-410. Zbl0268.10024
  4. [4] M. Jutila, On mean values of Dirichlet polynomials with real characters, Acta Arith. 27 (1975), 191-198. 
  5. [5] M. Jutila, On the mean value of L(1/2,χ) for real characters, Analysis 1 (1981), 149-161. 
  6. [6] H. L. Montgomery, Topics in Multiplicative Number Theory, Lecture Notes in Math. 227, Springer, Berlin, 1971 Zbl0216.03501

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