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

• Autorzy: A. E. Özlük , C. Snyder
• Języki publikacji: EN

Kategorie tematyczne

• 11M26: Nonreal zeros of ζ ( s ) and L ( s , χ ) ; Riemann and other hypotheses

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 91
• Numer: 3
• Strony: 209-228

Daty

wydano

1999

otrzymano

1997-10-17

poprawiono

1999-02-12

Twórcy

autor

A. E. Özlük

• Department of Mathematics and Statistics, University of Maine, Orono, ME 04469, U.S.A.

autor

C. Snyder

• Department of Mathematics and Statistics, University of Maine, Orono, ME 04469, U.S.A.

Bibliografia

• [1] H.-J. Bentz, Discrepancies in the distribution of prime numbers, J. Number Theory 15 (1982), 252-274.
• [2] H.-J. Bentz and J. Pintz, Quadratic residues and the distribution of prime numbers, Monatsh. Math. 90 (1982), 91-100.
• [3] H.-J. Besenfelder, Die 'Weilsche explizite Formel' und temperierte Distributionen, J. Reine Angew. Math. 293/294 (1977), 228-257.
• [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.
• [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.
• [7] H.L. Montgomery and P.J. Weinberger, Notes on small class numbers, Acta Arith. 24 (1974), 529-542.
• [8] A.E. Özlük, On the q-analogue of the pair correlation conjecture, J. Number Theory 59 (1996), 319-351.
• [9] A.E. Özlük and C. Snyder, Small zeros of quadratic L-functions, Bull. Austral. Math. Soc. 47 (1993), 307-319.
• [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.