 BackShort Report ScienceAsia 15 (1989): 133-138 |doi: 10.2306/scienceasia1513-1874.1989.15.133
ALGEBRAIC INDEPENDENCE TEST OF ARITHMETIC FUNCTIONS USING JACOBIANS
VICHIAN LAOHAKOSOL, KANNIKA KONGSAKORN AND UTSANEE LEERAWATABSTRACT: We have derived a test for algebraic independence (with respect to convolution) of arithmetic functions based on a criterion of Shapiro and Sparer which involves the use of Jacobians. This test is then applied to establish algebraic independence of (arithmetic) zeta and various d-freefunctions. Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand. Received 13 March 1989
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