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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1998 Volume 254, Pages 56–64 (Mi znsl888)

On exceptional integers for binary quadratic forms

E. P. Golubeva

St. Petersburg State University of Telecommunications

Abstract: An integer $m$ is said to be exceptional for a binary quadratic form $\varphi$ if m is representable by a form from the genus of $\varphi$ but not by the form $\varphi$ itself. An asymptotic distribution law for exceptional integers is proved.

UDC: 511.512

Received: 18.11.1998


 English version:
Journal of Mathematical Sciences (New York), 2001, 105:4, 2148–2155

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