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- W3041353934 abstract "We study the set D of positive integers d for which the equation $phi(a)-phi(b)=d$ has infinitely many solution pairs (a,b), where $phi$ is Euler's totient function. We show that the minumum of D is at most 154, exhibit a specific A so that every multiple of A is in D, and show that any progression a mod d with 4|a and 4|d, contains infinitely many elements of D. We also show that the Generalized Elliott-Halberstam Conjecture, as defined in [6], implies that D equals the set of all positive, even integers." @default.
- W3041353934 created "2020-07-16" @default.
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- W3041353934 date "2020-07-11" @default.
- W3041353934 modified "2023-09-27" @default.
- W3041353934 title "Gaps between totients" @default.
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- W3041353934 hasPublicationYear "2020" @default.
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