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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 237, Pages 40–45 (Mi znsl425)  
Distribution of norms of prime hyperbolic classes

E. P. Golubeva

St. Petersburg State University of Telecommunications
Full-text PDF (148 kB)
Abstract: We prove that the asymptotic formula for the number of primitive hyperbolic classes includes no summands corresponding to the discriminants $d$ of indefinite binary quadratic forms such that $h(d)<c\sqrt d/\log^2 d$ for a certain constant $c>0$. A similar result is obtained for prime discriminants.
Received: 15.09.1997
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 95, Issue 3, Pages 2198–2201
DOI: https://doi.org/10.1007/BF02172464
Bibliographic databases:
UDC: 517
Language: Russian
Citation: E. P. Golubeva, “Distribution of norms of prime hyperbolic classes”, Analytical theory of numbers and theory of functions. Part 14, Zap. Nauchn. Sem. POMI, 237, POMI, St. Petersburg, 1997, 40–45; J. Math. Sci. (New York), 95:3 (1999), 2198–2201
Citation in format AMSBIB
\Bibitem{Gol97}
\by E.~P.~Golubeva
\paper Distribution of norms of prime hyperbolic classes
\inbook Analytical theory of numbers and theory of functions. Part~14
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 237
\pages 40--45
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl425}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1691282}
\zmath{https://zbmath.org/?q=an:0940.11022}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 95
\issue 3
\pages 2198--2201
\crossref{https://doi.org/10.1007/BF02172464}
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