Journal of the Ramanujan Mathematical Society

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An ABC Analog for Arithmetical Functions


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1 Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL-61801, United States
     

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In this paper we state and prove an analog of the abc conjecture in the ring Ar (K) of arithmetical functions in r variables over a field K of characteristic zero.
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  • An ABC Analog for Arithmetical Functions

Abstract Views: 296  |  PDF Views: 0

Authors

Alexandru Zaharescu
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL-61801, United States
Mohammad Zaki
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL-61801, United States

Abstract


In this paper we state and prove an analog of the abc conjecture in the ring Ar (K) of arithmetical functions in r variables over a field K of characteristic zero.