# A mean value estimate for real character sums

Acta Arithmetica (1995)

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

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topD. 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

top- [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] P. X. Gallagher, The large sieve, Mathematika 14 (1967), 14-20. Zbl0163.04401
- [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] M. Jutila, On mean values of Dirichlet polynomials with real characters, Acta Arith. 27 (1975), 191-198.
- [5] M. Jutila, On the mean value of L(1/2,χ) for real characters, Analysis 1 (1981), 149-161.
- [6] H. L. Montgomery, Topics in Multiplicative Number Theory, Lecture Notes in Math. 227, Springer, Berlin, 1971 Zbl0216.03501

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