A Finite Capacity Analogue of the Koebe One-Quarter Theorem

On a Spectral Analogue of the Strong Multiplicity One Theorem

We prove spectral analogues of the classical strong multiplicity one theorem for newforms. Let Γ1 and Γ2 be uniform lattices in a semisimple group. Suppose all but finitely many irreducible unitary representations (resp. spherical) of G occur with equal multiplicities in L(Γ1\G) and L(Γ2\G). Then L(Γ1\G) ∼= L(Γ2\G) as G modules (resp. the spherical spectra of L(Γ1\G) and L(Γ2\G) are equal).

Note on a Theorem of Bôcher and Koebe*

buckling of viscoelastic composite plates using the finite strip method

در سال های اخیر، تقاضای استفاده از تئوری خطی ویسکوالاستیسیته بیشتر شده است. با افزایش استفاده از کامپوزیت های پیشرفته در صنایع هوایی و همچنین استفاده روزافزون از مواد پلیمری، اهمیت روش های دقیق طراحی و تحلیل چنین ساختارهایی بیشتر شده است. این مواد جدید از خودشان رفتارهای مکانیکی ارائه می دهند که با تئوری های الاستیسیته و ویسکوزیته، نمی توان آن ها را توصیف کرد. این مواد، خواص ویسکوالاستیک دارند....

A Finite Capacity Priority Queue with Discouragement

In this paper we report on a study of a two level preemptive priority queue with balking and reneging for lower priority level. The inter-arrival and the service times for both levels follow exponential distribution. We use a finite difference equation approach for solving the balance equations of the governing queuing model whose states are described by functions of one independent variable. H...

Revisiting Gauss's analogue of the prime number theorem for polynomials over a finite field

In 1901, von Koch showed that the Riemann Hypothesis is equivalent to the assertion that ∑ p≤x p prime 1 = ∫ x 2 dt log t + O( √ x log x). We describe an analogue of von Koch’s result for polynomials over a finite prime field Fp: For each natural number n, write n in base p, say n = a0 + a1 p + · · · + ak pk, and associate to n the polynomial a0 + a1T + · · · + akT k ∈ Fp[T ]. We let πp(X) deno...