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Nair–Tenenbaum bounds uniform with respect to the discriminant

Published online by Cambridge University Press:  12 January 2012

KEVIN HENRIOT
KEVIN HENRIOT*
Affiliation:
Université de Montréal, Département de Mathématiques et de Statistique, Pavillon André–Aisenstadt, Bureau 5190, 2900 Édouard–Montpetit, Montréal, Québec, Canada, H3C 3J7. e-mail: [email protected]
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Abstract

For functions F satisfying a certain submultiplicativity condition and polynomials Q1, . . ., Qk in [X], Nair and Tenenbaum obtained an upper bound on the short sum with an implicit dependency on the discriminant of Q1 . . . Qk. We obtain a similar upper bound uniform in the discriminant.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 152 , Issue 3 , May 2012 , pp. 405 - 424
Copyright
Copyright © Cambridge Philosophical Society 2012

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