As a continuation of Rokne (this journal, 1987), this paper considers the explicit representation and inclusion properties as well as convergence of circular centered forms for rational complex functions in several variables.doi:10.1016/0377-0427(92)90141-JQun Lin...
S.M. Voronin, A theorem on the “universality” of the Riemann zeta-function, Math. USSR, Izv., 9:443–453, 1975. 31. J.L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain, Colloq. Publ., Am. Math. Soc., Vol. 20, American Mathematical Society, Prov...
Asymptotes of Rational Functions | Formula, Types & Examples 6:31 Graphing Functions With Asymptotes Vertical, Horizontal & Slant Asymptotes | Functions & Limits 8:00 Comparing Relative Magnitudes of Functions Ch 13. Saxon Calculus: Continuity as a... Ch 14. Saxon Calculus: Parametric, Pola...
Noether forms for the study of non-composite rational functions and their spectrum. Acta Arith., 147(3):217-231, 2011.L. Bus´e, G. Ch`eze, and S. Najib. Noether's forms for the study of non-composite ratio- nal functions and their spectrum. A. Arithmetica, 147 (3): 217-231,...
Separate the rational fraction as the difference between two simpler fractions. Take the integral of secθ using the antiderivative rule, ∫secxdx=ln|secx+tanx|+C. For the second term, we can rewrite 1secx as cosx and use the antiderivative rule, ∫cosxdx=...
When evaluating limits, we come across situations where thebasic rules for evaluating limitsmight fail. For example, we can apply the quotient rule in case of rational functions: lim(x→a) f(x)/g(x) = (lim(x→a)f(x))/(lim(x→a)g(x)) if lim(x→a)g(x)≠0 ...
Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers. These generating functions are show...
A. N. Andrianov, “Symmetric squares of zeta-functions of Siegel modular forms of genus 2,” Tr. Mat. Inst. Akad. Nauk SSSR,142, 22–45 (1976). Google Scholar A. N. Andrianov, “Euler products corresponding to Siegel modular forms of genus 2,” Usp. Mat. Nauk,29, No. 3, 44...
rational points on sphere 54:34 representation of sums by powers 01:03:29 short second moment bound and subconvexity 56:24 singular intersections of quadrics and cusp forms 59:59 simple super-cuspidals for GSp(4) 01:00:48 simultaneous extreme values of zeta and L-functions 53:27 ...
Ch 8. Graphing Piecewise Functions Ch 9. Understanding Function... Ch 10. Graph Symmetry Ch 11. Graphing with Functions Review Ch 12. Rate of Change Ch 13. Rational Functions & Difference... Ch 14. Rational Expressions and Function... Ch 15. Exponential Functions & Logarithmic... Ch 16....