Category
page 1Analytic number theory
Riemann hypothesis
conjecture in mathematics linked to the repartition of prime numbers
Goldbach's conjecture
Conjecture that every even integer greater than 2 is the sum of two primes
Riemann zeta function
analytic function
Stirling's approximation
approximation for factorials
analytic number theory
exploring properties of the integers with complex analysis
elliptic curve
a smooth projective curve of genus 1 equipped with a rational basepoint
prime-counting function
function representing the number of primes less than or equal to a given number
Apéry's constant
value of the Riemann zeta function when given the input 3
modular form
analytic function on the upper half-plane with a certain behavior under the modular group
Goldbach's weak conjecture
conjecture about prime numbers
divisor function
arithmetic function related to the divisors of an integer
Euler product
expansions of functions into infinite products
Dirichlet character
certain arithmetic functions
Fermat polygonal number theorem
theorem
Brun's constant
sum of reciprocals of twin primes
Eisenstein series
series representing modular forms
Landau–Ramanujan constant
constant in number theory
Legendre's constant
the number 1, as occurring in a formula conjectured by Legendre
smooth number
a number all of whose prime factors are small
On the Number of Primes Less Than a Given Magnitude
scientific article by Bernhard Riemann
Gilbreath's conjecture
conjecture on the pattern of forward differences of the sequence of prime numbers
modular group
orientation-preserving mapping class group of the torus
Riesel number
odd natural number k such that k·2^n − 1 is composite for all natural n
transcendental number theory
study of numbers that are not solutions of polynomials with integer coefficients
Lambert series
mathematical term
Cramér's conjecture
conjecture
Hardy–Littlewood circle method
technique in analytic number theory
Artin's conjecture on primitive roots
in numbers theory, a given integer a which is not a perfect square and not −1 is a primitive root modulo infinitely many primes p
Second Hardy–Littlewood conjecture
conjecture about prime numbers
Elliott–Halberstam conjecture
on the distribution of prime numbers in arithmetic progressions
de Bruijn-Newman constant
mathematical constant
Mertens conjecture
Disproved mathematical conjecture
Degen's eight-square identity
theorem
Mahler measure
measure of polynomial height
Schinzel's hypothesis H
number theory conjecture that, for any finite set of nonconstant irreducible integer polynomials with positive leading coefficients, either they are simultaneously prime infinitely often, or else a fixed divisor always divides at least one of them
Lindelöf hypothesis
conjecture
exponential sum
finite sum formed using the exponential function
Porter's constant
constant term in the average number of iterations of Euclid’s algorithm for fixed 𝑛 and averaged over all choices of relatively prime integers 𝑚<𝑛
Montgomery's pair correlation conjecture
mathematical conjecture stated by Hugh Montgomery
multiplicative number theory
analytic theory dealing with prime numbers and divisors
Odlyzko–Schönhage algorithm
For evaluating the Riemann zeta function at many points
Chebotarev's density theorem
theorem
Kloosterman sum
particular kind of exponential sum
Birch's theorem
statement about the representability of zero by odd degree forms
Dickman function
Mathematical function
Pfister's sixteen-square identity
Bateman–Horn conjecture
conjecture in number theory