# Distribution of values of Hecke characters of infinite order

Acta Arithmetica (1998)

- Volume: 85, Issue: 3, page 279-291
- ISSN: 0065-1036

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topC. S. Rajan. "Distribution of values of Hecke characters of infinite order." Acta Arithmetica 85.3 (1998): 279-291. <http://eudml.org/doc/207169>.

@article{C1998,

abstract = {We show that the number of primes of a number field K of norm at most x, at which the local component of an idele class character of infinite order is principal, is bounded by O(x exp(-c√(log x))) as x → ∞, for some absolute constant c > 0 depending only on K.},

author = {C. S. Rajan},

journal = {Acta Arithmetica},

keywords = {distribution of values of Hecke characters; Riemann hypothesis},

language = {eng},

number = {3},

pages = {279-291},

title = {Distribution of values of Hecke characters of infinite order},

url = {http://eudml.org/doc/207169},

volume = {85},

year = {1998},

}

TY - JOUR

AU - C. S. Rajan

TI - Distribution of values of Hecke characters of infinite order

JO - Acta Arithmetica

PY - 1998

VL - 85

IS - 3

SP - 279

EP - 291

AB - We show that the number of primes of a number field K of norm at most x, at which the local component of an idele class character of infinite order is principal, is bounded by O(x exp(-c√(log x))) as x → ∞, for some absolute constant c > 0 depending only on K.

LA - eng

KW - distribution of values of Hecke characters; Riemann hypothesis

UR - http://eudml.org/doc/207169

ER -

## References

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- [La] S. Lang, Algebraic Number Theory, Grad. Texts in Math. 110, Springer, New York, 1986.
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- [MR] M. R. Murty and C. S. Rajan, Stronger multiplicity one theorems for forms of general type on GL₂, in: Analytic Number Theory, Proc. Conf. in Honor of Heini Halberstam, Vol. 2, B. C. Berndt, H. G. Diamond and A. J. Hildebrand (eds.), Birkhäuser, Boston, 1996, 669-683. Zbl0874.11041
- [VKM] V. K. Murty, Explicit formulae and the Lang-Trotter conjecture, Rocky Mountain J. Math. 15 (1985), 535-551. Zbl0587.14009

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