On the distribution of the nontrivial zeros of quadratic L-functions close to the real axis
Acta Arithmetica (1999)
- Volume: 91, Issue: 3, page 209-228
- ISSN: 0065-1036
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top- [1] H.-J. Bentz, Discrepancies in the distribution of prime numbers, J. Number Theory 15 (1982), 252-274. Zbl0489.10042
- [2] H.-J. Bentz and J. Pintz, Quadratic residues and the distribution of prime numbers, Monatsh. Math. 90 (1982), 91-100. Zbl0431.10027
- [3] H.-J. Besenfelder, Die 'Weilsche explizite Formel' und temperierte Distributionen, J. Reine Angew. Math. 293/294 (1977), 228-257. Zbl0354.12007
- [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] H. Davenport, Multiplicative Number Theory, 2nd ed., Springer, 1980. Zbl0453.10002
- [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] H.L. Montgomery and P.J. Weinberger, Notes on small class numbers, Acta Arith. 24 (1974), 529-542. Zbl0285.12004
- [8] A.E. Özlük, On the q-analogue of the pair correlation conjecture, J. Number Theory 59 (1996), 319-351. Zbl0863.11056
- [9] A.E. Özlük and C. Snyder, Small zeros of quadratic L-functions, Bull. Austral. Math. Soc. 47 (1993), 307-319. Zbl0777.11031
- [10] P. Turán, On a New Method of Analysis and its Applications, Wiley, 1984.
- [11] P.J. Weinberger,On small zeros of Dirichlet L-functions, Math. Comp. 29 (1975), 319-328. Zbl0301.10035