Montgomery happened to find strikingly similar behavior in the prime numbers— specifically, the correlations between the ...
Prime numbers are sometimes called math’s “atoms” because they can be divided by only themselves and 1. For two millennia, mathematicians have wondered if the prime numbers are truly random, or if ...
ABSTRACT: The eta function is examined over the critical strip 0<σ<1 and there is an investigation of the statement that all zeros of the zeta function must lie on the critical line Re( s )=1/2 . A ...
The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...
ABSTRACT: In this paper, we calculate the absolute tensor square of the Dirichlet L-functions and show that it is expressed as an Euler product over pairs of primes. The method is to construct an ...
import sympy sympy.init_printing(use_unicode=False, wrap_line=False) x = sympy.Symbol('x') sympy.integrate(x**2 * 1/(sympy.exp(x)-1),(x,0,sympy.oo)) returns the unevaluated integral. I tried to look ...
For all of the recent strides we’ve made in the math world—like a supercomputer finally solving the Sum of Three Cubes problem that puzzled mathematicians for 65 years—we’re forever crunching ...
Some results have been hidden because they may be inaccessible to you
Show inaccessible results
Feedback