Number theory

The Lean Pool projects whose card's first MSC2020 code is in class 11, Number theory: 67 articles, one per card.

A 4AP-free permutation of the… to Exact odd-prime distributions…

• A 4AP-free permutation of the positive integers
• A Conditional Sieve Criterion for Twin Primes via Krafft Geometry
• A Detailed Proof of the Chudnovsky Formula
• A sharp 5/8 bound for Erdős Problem 865
• A tight bound for Green's arithmetic triangle removal lemma in vector spaces
• ABC implies that Ramanujan's tau function misses almost all primes
• Almost all primes are partially regular
• Carlet's Kasami cyclic-additive conjecture
• Champernowne normality in every base
• Convex geometry and the Erdős–Ginzburg–Ziv problem
• Dead Ends in Square-Free Digit Walks
• Density-One GKP Divisibility and Its Carry-Language Characterization
• Erdős Problem 346: Ratio Limit Forces the Golden Ratio
• Erdős Problem #137: powerful products of consecutive integers
• Erdős Problem #367
• The Erdős–Graham–Ruzsa–Straus two-prime theorem
• Euler's pentagonal number theorem
• Euler's pentagonal number theorem, two independent proofs, and the Jacobi triple product
• Every Pisot number is a two-sided limit of Salem numbers
• Exact odd-prime distributions of central-binomial valuations

Exceptional Set in the abc… to Modular forms and the…

• Exceptional Set in the abc Conjecture
• Fermat's Last Theorem for regular primes
• FLT Eichler-Shimura
• Galois groups of quadratic polynomial iterates
• The Hasse–Minkowski theorem over ℚ
• Improved long gaps between consecutive primes
• Improved Lower Bounds for Strong n-Conjectures
• Integer Moore determinants and iterated Fermat quotients
• Irrationality of the Riemann zeta function at five
• Irrationality of ζ(3)
• Iwaniec's linear sieve and Jacobsthal's bound
• Kloosterman–Weil bounds via Carlitz and Stepanov
• The Komlós and Beck–Fiala bounds with constant 36
• Lehmer's Polynomial and the E10 Coxeter Element
• Leo Moser's finite distinct-subset-sums inequality
• Li's criterion for the Riemann Hypothesis
• Linear independence of 1, zeta(2), and zeta(3)
• Markoff mod p
• Minimum modulus for the unique multiset-sum problem
• Modular forms and the generalized residue theorem

Nair–Tenenbaum short sums of… to Square-difference-free…

• Nair–Tenenbaum short sums of arithmetic functions
• Neukirch's Algebraic Number Theory: Hilbert ramification theory
• Newman normalizer bounds for congruence subgroups
• On the paucity of lattice triangles
• The optimal exponent relating sumsets and difference sets
• Poitou's Explicit Odlyzko Bound for Root Discriminants
• Polynomial ABC (Mason–Stothers) and its corollaries
• Polynomial degree bounds for rational points on varieties
• The polynomial Freiman–Ruzsa conjecture
• The polynomial method and restricted sums of congruence classes
• Polynomial parametrizations of Pythagorean triples
• Primitive Sets Above x (Erdos Problem 1196)
• Quadratic-order prime classification
• The Ramanujan-Nagell theorem
• Selberg Sieve
• Serre's mass formula for totally ramified local-field extensions
• Sharp asymptotic bounds for runs of multiples in finite sets
• Sharp Five-Distance and Sup-Norm Gap Theorems
• Simple zeros of the Riemann zeta function
• Square-difference-free polynomials beyond Naslund's conjectured bound

Sum of sets in several… to Weierstrass models and singular…

• Sum of sets in several dimensions
• Sums of Distinct Factorials That Are Powers of Two (Erdos Problem 403)
• Sums of Three Squares
• Thakur's hypotheses on power sums of F_q[t]
• The Three-Gap (Steinhaus) Theorem
• The transcendence of π
• Weierstrass models and singular points for Tate's algorithm

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