On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis

A. E. Özlük; C. Snyder

Acta Arithmetica (1999)

  • Volume: 91, Issue: 3, page 209-228
  • ISSN: 0065-1036

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A. E. Özlük, and C. Snyder. "On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis." Acta Arithmetica 91.3 (1999): 209-228. <http://eudml.org/doc/207352>.

@article{A1999,
author = {A. E. Özlük, C. Snyder},
journal = {Acta Arithmetica},
keywords = {zeros of -functions; Kronecker symbol; Generalized Riemann Hypothesis; theta transformation formula},
language = {eng},
number = {3},
pages = {209-228},
title = {On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis},
url = {http://eudml.org/doc/207352},
volume = {91},
year = {1999},
}

TY - JOUR
AU - A. E. Özlük
AU - C. Snyder
TI - On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis
JO - Acta Arithmetica
PY - 1999
VL - 91
IS - 3
SP - 209
EP - 228
LA - eng
KW - zeros of -functions; Kronecker symbol; Generalized Riemann Hypothesis; theta transformation formula
UR - http://eudml.org/doc/207352
ER -

References

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  1. [1] H.-J. Bentz, Discrepancies in the distribution of prime numbers, J. Number Theory 15 (1982), 252-274. Zbl0489.10042
  2. [2] H.-J. Bentz and J. Pintz, Quadratic residues and the distribution of prime numbers, Monatsh. Math. 90 (1982), 91-100. Zbl0431.10027
  3. [3] H.-J. Besenfelder, Die 'Weilsche explizite Formel' und temperierte Distributionen, J. Reine Angew. Math. 293/294 (1977), 228-257. Zbl0354.12007
  4. [4] P.L. Chebyshev, Lettres de M. le professeur Tchebychev à M. Fuss sur un nouveau théorème relative aux nombres premiers continus dans les formes 4n+1 et 4n+3, Bull. Classe Phys. Acad. Imp. Sci. St. Petersburg 11 (1853), 208. 
  5. [5] H. Davenport, Multiplicative Number Theory, 2nd ed., Springer, 1980. Zbl0453.10002
  6. [6] H.L. Montgomery, The pair correlation of the zeros of the zeta function, in: Proc. Sympos. Pure Math. 24, Amer. Math. Soc., Providence, RI, 1973, 181-193. Zbl0268.10023
  7. [7] H.L. Montgomery and P.J. Weinberger, Notes on small class numbers, Acta Arith. 24 (1974), 529-542. Zbl0285.12004
  8. [8] A.E. Özlük, On the q-analogue of the pair correlation conjecture, J. Number Theory 59 (1996), 319-351. Zbl0863.11056
  9. [9] A.E. Özlük and C. Snyder, Small zeros of quadratic L-functions, Bull. Austral. Math. Soc. 47 (1993), 307-319. Zbl0777.11031
  10. [10] P. Turán, On a New Method of Analysis and its Applications, Wiley, 1984. 
  11. [11] P.J. Weinberger,On small zeros of Dirichlet L-functions, Math. Comp. 29 (1975), 319-328. Zbl0301.10035

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