We adapt Hooley’s proof that the Generalized Riemann Hypothesis implies the Artin Conjecture for primitive roots to various other problems. We consider the sum P px f(ip) where ip is the index of 2 modulo p and f is a given function. In various cases we establish asymptotic formulas for such a sum and analyse the constants. While we claim no originality, we outline the method to approach this problem in a fairly general case.

Pappalardi F (1995). On Hooley's Theorem with weights. Rend. Sem. Mat. Polit. Univ. Torino 53 No. 4 (1995) 375-388. *. RENDICONTI DEL SEMINARIO MATEMATICO, 53(4), 375-388.

On Hooley's Theorem with weights. Rend. Sem. Mat. Polit. Univ. Torino 53 No. 4 (1995) 375-388. *

PAPPALARDI, FRANCESCO
1995

Abstract

We adapt Hooley’s proof that the Generalized Riemann Hypothesis implies the Artin Conjecture for primitive roots to various other problems. We consider the sum P px f(ip) where ip is the index of 2 modulo p and f is a given function. In various cases we establish asymptotic formulas for such a sum and analyse the constants. While we claim no originality, we outline the method to approach this problem in a fairly general case.
Pappalardi F (1995). On Hooley's Theorem with weights. Rend. Sem. Mat. Polit. Univ. Torino 53 No. 4 (1995) 375-388. *. RENDICONTI DEL SEMINARIO MATEMATICO, 53(4), 375-388.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11590/116966
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