Loh’s approach does not rely on completing the square or any other difficult mathematical tricks. Indeed, it is simple enough to work as a general method itself, meaning students need not remember the formula at all. “The derivation has the potential to demystify the quadratic formula for st...
A brief and simple proof of Siegel's celebrated theorem that h(d) >> d(1/2-[unk]), as d --> infinity, is given. Here h(d) denotes the class number of the quadratic field Q([unk]-d). Simple proofs that do not make use of algebraic number theory have been previously given by...
10.1 We relate the disparity expression to the class number H- for quadratic forms, taking our results from Hermann Weyl in [We40]. For p, but not q, Weyl considers imaginary discriminants. This shows that, for p ≡ 7 (mod 8), the disparity expression is equal to H-. For p ≡ 3...
Mathematics - ProbabilityThe strong recurrence is equivalent to the Riemann hypothesis. In the present paper, we give a simple proof of the generalized strong recurrence for all non-zero parameters.doi:10.1007/3-540-40015-X_4Takashi Nakamuraeprint arxiv...
We give a simple proof of a p p -converse theorem to a theorem of Gross-Zagier and Kolyvagin for non-CM elliptic curves with good ordinary reduction at p >3 p >3 under mild hypotheses. In particular, no condition on the conductor is imposed. Combining with the known results, we obtain...
An extension of the latter problems to the case with more than two agents is reported in [6]. In the last years various works have focused on two-agent single-machine scheduling problems. In [4] a branch & bound algorithm has been designed, based on the computation of the bounds by ...
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arXiv:1711.00327v1 [math.NT] 1 Nov 2017A SIMPLE PROOF OFTHE EICHLER-SELBERG TRACE FORMULAALEXANDRU A. POPA AND DON ZAGIERAbstract. We give a short proof of the trace formula for Hecke operators on modular forms forthe modular group, using the action of Hecke operators on the space of ...
In math, we have the simple proof (using “successor functions”) that the natural numbers run 1, 2, 3, … and so on, all the way up. Never mind about infinity for a moment. In the world, we have some number of objects, which can be counted as long as one defines a way to ...
国际基础科学大会-On the $p$-adic local Langlands correspondence-Pierre Colmez 1:01:00 国际基础科学大会-On toric Fano fibrations-Florin Ambro 49:15 国际基础科学大会-Cremona groups of rank at least three are simple-Susanna Zimmermann 48:56 国际基础科学大会-The vanishing of the genus two...