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Showing 2012 · math.NTShow all
3 papers · 2 filters
math.NT2012
Primitive prime factors in second order linear recurrence sequences
Andrew Granville
For a class of Lucas sequences , we show that if is a positive integer then has a primitive prime factor which divides to an odd power, except perhaps when $…
math.NT2012★ 9 cited
A solution of Sun's $520 challenge concerning 520/pi
Mathew Rogers, Armin Straub
We prove a Ramanujan-type formula for conjectured by Sun. Our proof begins with a hypergeometric representation of the relevant double series, which relies on a recent gene…
math.NT2012
Identities for the Ramanujan zeta function
Mathew Rogers
We prove formulas for special values of the Ramanujan tau zeta function. Our formulas show that is a period in the sense of Kontsevich and Zagier when . As an ill…