无礼回复
发表于 2025-3-26 22:21:52
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cuticle
发表于 2025-3-27 01:13:41
Solving Combinatorial Optimization ProblemsThis paper discusses the additive prime divisor function . which was introduced by Alladi and Erdős in 1977. It is shown that .(.) is uniformly distributed (mod .) for any fixed integer . with an explicit bound for the error.
多余
发表于 2025-3-27 05:41:45
Curves of Finite Total CurvatureRamanujan’s tau function is defined by .where .. It is known that if . is prime, .where it is understood that . if . does not divide .. We give proofs of this relation for . and 13. which rely on nothing more than Jacobi’s triple product identity. I believe that the case . is intrinsically more difficult, and I do not attempt it here.
Muffle
发表于 2025-3-27 13:12:25
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锯齿状
发表于 2025-3-27 15:40:08
Adventures with the OEIS,This paper is a somewhat expanded companion to a talk (Available at .) with the same title presented in December 2015 at a 2015 workshop celebrating Tony Guttmann’s seventieth birthday. My main intention is to further advertise the wonderful resource that the Online Encyclopedia of Integer Sequences (OEIS) has become.
reptile
发表于 2025-3-27 21:38:47
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Mhc-Molecule
发表于 2025-3-27 22:00:31
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可商量
发表于 2025-3-28 04:43:22
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Cholagogue
发表于 2025-3-28 08:10:30
,Ramanujan’s Tau Function,Ramanujan’s tau function is defined by .where .. It is known that if . is prime, .where it is understood that . if . does not divide .. We give proofs of this relation for . and 13. which rely on nothing more than Jacobi’s triple product identity. I believe that the case . is intrinsically more difficult, and I do not attempt it here.
Conspiracy
发表于 2025-3-28 11:17:49
Analytic Number Theory, Modular Forms and q-Hypergeometric Series978-3-319-68376-8Series ISSN 2194-1009 Series E-ISSN 2194-1017