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We present the problems and solutions to the 50th Annual USA Mathematical Olympiad.

History and Overview · Mathematics 2024-06-17 Bela Bajnok

We provide the problems and their solutions to the 2020 USA Mathematical Olympiad.

History and Overview · Mathematics 2024-04-19 Bela Bajnok

We present the problems and solutions to the 63rd Annual International Mathematical Olympiad.

History and Overview · Mathematics 2025-09-25 Béla Bajnok

We present the problems and solutions to the 61st Annual International Mathematical Olympiad

History and Overview · Mathematics 2024-06-17 Bela Bajnok , Evan Chen

This article contains a selection of problems from the American Mathematics Competitions.

History and Overview · Mathematics 2024-06-25 Bela Bajnok

We provide an historical overview of how advances in technology influenced high school and university mathematical competitions in the United States and at the International Mathematical Olympiad. While students are not allowed the usage of…

History and Overview · Mathematics 2024-04-11 Bela Bajnok

The present issue of the series <<Modern Problems in Mathematical Physics>> represents the Proceedings of the Students Training Contest Olympiad in Mathematical and Theoretical Physics and includes the statements and the solutions of the…

A brief overview and history of the American Mathematics Competitions.

History and Overview · Mathematics 2024-04-25 Bela Bajnok

In this paper we give solutions of certain diophantine equations related to triangular and tetrahedral numbers and propose several problems connected with these numbers. The material of this paper was presented in part at the 11th…

Number Theory · Mathematics 2008-11-18 Maciej Ulas

We use SMT technology to address a class of problems involving uninterpreted functions and nonlinear real arithmetic. In particular, we focus on problems commonly found in mathematical competitions, such as the International Mathematical…

Logic in Computer Science · Computer Science 2025-07-10 Chad E. Brown , Karel Chvalovský , Mikoláš Janota , Mirek Olšák , Stefan Ratschan

Mathematical problems and their solutions of the Fourth International Students' Olympiad in cryptography NSUCRYPTO'2017 are presented. We consider problems related to attacks on ciphers and hash functions, cryptographic Boolean functions,…

We present a research mathematician's perspective on current developments around in K-12 mathematics. We share activities, and highlight the different ways in which students' reasoning can progress, such as amount of abstraction,…

History and Overview · Mathematics 2019-01-01 Dev P. Sinha

The situation surrounding the Olympiads is paradoxical. On the one hand, considerable resources are spent on the Olympiads. On the other hand, there are widespread arguments about the harm of the Olympiads, often very strange ones. For…

History and Overview · Mathematics 2017-12-07 Alexei Kanel-Belov

We discuss a problem initially thought for the Mathematical Olympiad but which has several interpretations. The recurrence sequences involved in this problem may be generalized to recurrence sequences related to a much larger set of…

Number Theory · Mathematics 2014-03-17 Roberto Dvornicich , Francesco Veneziano , Umberto Zannier

We collect a number of open questions concerning Diophantine equations, Diophantine Approximation and transcendental numbers. Revised version: corrected typos and added references.

Number Theory · Mathematics 2007-05-23 Michel Waldschmidt

This document is a brief summary of progress that has been made on the problems posed in the document "Twenty Open Problems in Enumeration of Matchings" (also available from this server as math.CO/9801060). NOTE: This article has now been…

Combinatorics · Mathematics 2007-05-23 James Propp

We provide a list of (mainly unsolved) problems in ordered and orderable groups. These were originally compiled 10 years ago by the last two authors. New problems have been added to the list. Progress on some of these is noted and…

Group Theory · Mathematics 2009-06-16 V. V. Bludov , A. M. W. Glass , V. M. Kopytov , N. Ya. Medvedev

We present some questions and suggestion on the second part of the Hilbert 16th problem

Dynamical Systems · Mathematics 2023-02-13 Ali Taghavi

Every year the International Olympiad in Cryptography Non-Stop University CRYPTO (NSUCRYPTO) offers mathematical problems for university and school students and, moreover, for professionals in the area of cryptography and computer science.…

The mathematical problems and their solutions of the Third International Students' Olympiad in Cryptography NSUCRYPTO'2016 are presented. We consider mathematical problems related to the construction of algebraic immune vectorial Boolean…

Cryptography and Security · Computer Science 2017-10-17 N. Tokareva , A. Gorodilova , S. Agievich , V. Idrisova , N. Kolomeec , A. Kutsenko , A. Oblaukhov , G. Shushuev
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