What explains the upper bounds for m, n related to Diophantine m-tuples?Baker's theory indicates that upper bounds for m and n are logarithmic functions of c, with specific implications for the parameters involved.How do simultaneous Diophantine approximations contribute to set size analysis?The hypergeometric method provides upper bounds for rational approximations when c exceeds b^6, informing the limits on integer tuple sizes.What are the implications of contradictions obtained for large constants in this research?For large c, contradictions suggest limitations on the size of Diophantine m-tuples, enhancing our understanding of their structure.
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