Sporadic sequences, modular forms and new series for 1/π
By Shaun Cooper. 2012
57 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/3bfa6e3a2a93e98d481f31ffc846bac6290cfde0
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In Algebra and Number Theory
In Discrete Mathematics and Combinatorics
Citations in the corpus
- q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon (2018, background): “dilin found the sequence by searching, empirically, for integer sequences satisfying the recurrence (n+ 1)3un+1 −(2n+ 1)(an2 + an+ b)un + cn3un−1 = 0 for some a,b,c ∈ Z (see Zagier [Zag09] and Cooper [Coo12] for related searches). They found 5 solutions apart from the Ap´ery numbers (cf. [AvSZ11, Eq”