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
Büchi Sequences in Local Fields and Local Rings
We prove that there exist infinite Büchi i sequences in some local rings and local fields, with the exception of the ring of p-adic integers. In there are only finite but arbitrarily long Büchi sequences.
Büchi's problem in any power for finite fields