Results 51 to 60 of about 64,486 (162)

On Vinogradov's mean value theorem. II.

Michigan Mathematical Journal, 1993
Let \(J_{s,k} (P)\) denote the number of solutions of \(\sum^ s_{i = 1} (x^ j_ i-y^ j_ i) = 0\) \((1 \leq j \leq k)\) with \(1 \leq x_ i, y_ i \leq P\). Bounds of the form \[ J_{rk,k} (P) \leq D (k,r)P^{2rk-{1 \over 2} k(k + 1) + {1 \over 2} k^ 2(1 - 1/k)^ r} \tag{*} \] are of importance in both additive and multiplicative number theory, and are known ...
openaire   +3 more sources

Numerical solution of linear and nonlinear Fredholm integral equations by using weighted mean-value theorem. [PDF]

Springerplus, 2016
Altürk A.
europepmc   +1 more source

An extended Vinogradov’s mean value theorem

Transactions of the American Mathematical Society
In this paper, we provide novel mean value estimates for exponential sums related to the extended main conjecture of Vinogradov’s mean value theorem, by developing the Hardy-Littlewood circle method together with a refined shifting variables argument. Let
Oh, Changkeun, Yeon, Kiseok
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An Enhanced Mean Value Theorem with Bisection Technique to Elevate User Focus Metrics in Talent Finder Applications

Ilkom Jurnal Ilmiah
Contemporary digital workplaces face pervasive distractions (e.g., notifications, multitasking), yet talent-assessment systems rarely quantify their impact on attention.
M Zainal Arifin, Aji Prasetya Wibawa, Moh Safii, Agustinus Noertjahyana, Ahmad Naim Che Pee   +4 more
doaj   +1 more source

Some Applications of Cauchy’s Mean Value Theorem

Asia Pacific Journal of Mathematics, 2020
German Lozada-Cruz
doaj   +1 more source

A mean value theorem for cubic fields

Journal of Number Theory, 2003
Das Hauptergebnis besteht in Folgendem: Es bezeichne \(K\) eine kubische Erweiterung des rationalen Zahlkörpers und \(\zeta(s,K)\) die dazugehörige Dedekindsche Zetafunktion. Weiter sei \[ S(x)= \sum_{n\leq x} r(n), \] wenn \(r(n)\) die Anzahl ganzer Ideale der Norm \(n\) in \(K\) bedeutet.
openaire   +2 more sources

Mean value problems of Flett type for a Volterra operator

Electronic Journal of Differential Equations, 2013
In this note we give a generalization of a mean value problem which can be viewed as a problem related to Volterra operators. This problem can be seen as a generalization of a result concerning the zeroes of a Volterra operator in the Banach space of ...
Cezar Lupu
doaj  

From Nash Equilibrium to Social Optimum and Back: A Mean Field Perspective. [PDF]

Appl Math Optim
Carmona R, Dayanıklı G, Delarue F, Laurière M.   +3 more
europepmc   +1 more source

A scaling limit theorem for controlled branching processes with a size-divisible term. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat
González M, Martín-Chávez P, Del Puerto I.   +2 more
europepmc   +1 more source

Coupled SDE-ODE Modeling of Tumor-Immune Dynamics to Infer Biomarker Release. [PDF]

Bull Math Biol
Shrestha P, Fan Y, George JT.
europepmc   +1 more source