Titlebook: Analytic Number Theory, Modular Forms and q-Hypergeometric Series; In Honor of Krishna George E. Andrews,Frank Garvan Conference proceedin

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cuticle

Solving Combinatorial Optimization ProblemsThis paper discusses the additive prime divisor function . which was introduced by Alladi and Erd?s in 1977. It is shown that .(.) is uniformly distributed (mod .) for any fixed integer . with an explicit bound for the error.

多余

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

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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

Mhc-Molecule

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Cholagogue

,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

Analytic Number Theory, Modular Forms and q-Hypergeometric Series978-3-319-68376-8Series ISSN 2194-1009 Series E-ISSN 2194-1017