Bounds for the average -extreme and the -extreme discrepancy.
Bounds for the counting function of the Jordan-Pólya numbers
A positive integer is said to be a Jordan-Pólya number if it can be written as a product of factorials. We obtain non-trivial lower and upper bounds for the number of Jordan-Pólya numbers not exceeding a given number .
Bounds for the degrees of CM-fields of class number one
Bounds for the density of abundant integers.
Bounds for the discrete correlation of infinite sequences on k symbols and generalized Rudin-Shapiro sequences
Bounds for the eventual positivity of difference functions of partitions into prime powers.
Bounds for the Kolakoski sequence.
Bounds for the minimal solution of genus zero diophantine equations
Bounds for the order of the Tate-Shafarevich group
Bounds for the smallest integer point of a rational curve
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.