Bounds for the solutions of S-unit equations and decomposable form equations
Bounds for the solutions of Thue-Mahler equations and norm form equations
Bounds for the solutions of unit equations
Bounds for zeta and related functions.
Bounds of general Fréchet classes
This paper deals with conditions of compatibility of a system of copulas and with bounds of general Fréchet classes. Algebraic search for the bounds is interpreted as a solution to a linear system of Diophantine equations. Classical analytical specification of the bounds is described.
Bounds of prime solutions of some diagonal equations.
Bounds on sup-norms of half-integral weight modular forms
Bounding sup-norms of modular forms in terms of the level has been the focus of much recent study. In this work the sup-norm of a half-integral weight cusp form is bounded in terms of the level: we prove that for a modular form f̃ of level 4N and weight κ, a half-integer.
Bounds on ternary cyclotomic coefficients
Bounds on the number of integer valued monotone functions of k integer arguments
Bounds on the number of non-rational subfields of a function field.
Bounds on the radius of the p-adic Mandelbrot set
Let be a degree d polynomial. We say f is post-critically bounded, or PCB, if all of its critical points have bounded orbit under iteration of f. It is known that if p ≥ d and f is PCB, then all critical points of f have p-adic absolute value less than or equal to 1. We give a similar result for 1/2d ≤ p < d. We also explore a one-parameter family of cubic polynomials over ℚ₂ to illustrate that the p-adic Mandelbrot set can be quite complicated when p < d, in contrast with the simple and...
Branching laws for some unitary representations of .
Bran's method and the Fundamental Lemma
Brauer-Kuroda relations for S-class numbers
Brauer's class number relation
Breaking classical convexity in Waring's problem: Sums of cubes and quasi-diagonal behaviour.
Brownian motion and the generalized Catalan numbers.
Brownian motion, approximation of functions, and Fourier analysis
Brumer-Stark-Stickelberger
Brun's method and the Fundamental Lemma, II