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Showing 1 to 6 of 6 for “"ARITHMETICAL FUNCTIONS"”.

  1. Some Results on Arithmetical Functions Similar to Euler's Phi-Function

    Wooldridge, Kent ErnestUniversity of Illinois at Urbana-Champaign2014

    Made available in DSpace on 2014-12-14T13:09:26Z (GMT). No. of bitstreams: 1 7524443.pdf: 1097386 bytes, checksum: 33ab44ce5c7537314d44eecf770e5808 (MD5) Previous issue date: 1975

    uiuc Repository record

  2. Combinatorial identities in number theory related to q-series and arithmetical functions

    Campbell, Geoffrey Bruce1997

    aus-cath Repository record

  3. Combinatorial identities in number theory related to q-series and arithmetical functions

    Campbell, Geoffrey Bruce1997

    anu Repository record

  4. On the Average Order of the Divisor Function, Lattice Point Functions, and Other Arithmetical Functions

    Hafner, James LeeUniversity of Illinois at Urbana-Champaign2014

    We consider a large class of arithmetical functions generated by Dirichlet series satisfying a very general functional equation with gamma factors. We obtain one and two-sided (OMEGA)-theorems for the error terms associated with certain weighted averages of these arithmetical functions. For …

    uiuc Repository record

  5. Topics in Analytic Number Theory

    Zaki, MohammadUniversity of Illinois at Urbana-Champaign2015

    … we study an analog of the abc conjecture for arithmetical functions in r variables over a field K of characteristic zero.

    uiuc Repository record

  6. ΠΡΩΤΟΙ ΑΡΙΘΜΟΙ ΚΑΙ ΚΥΚΛΟΤΟΜΙΑ-ΠΡΩΤΟΙ ΑΡΙΘΜΟΙ ΤΗΣ ΜΟΡΦΗΣ Χ + (Χ+1)

    Τσαγκάρης, ΠαναγιώτηςNational and Kapodistrian University of Athens1986

    … 2 BY MEANS OF CYCLOTOMIC CONCEPTS AND COSINE FUNCTIONS. IN CHAPTER 3 THE PRIME AND COMPOSITENUMBERS OF THE FORM X2+(X+1)2 ARE EXAMINED. THEIR STUDY DEPENDS HEAVILY ON THE FOLLOWING THEOREM(SIERPINSKI): THE NUMBER X2+(X+1)2 IS COMPOSITE IF THERE EXIST NATURAL NUMBERS Y, Z SUCH THAT: (*) T(X)= …

    greece Repository record