number theory, Glaisher's theorem is an identity useful to the study of integer partitions. Proved in 1883 by James Whitbread Lee Glaisher, it states that...

Quarterly Journal of Mathematics. Glaisher's theorem Glaisher–Kinkelin constant Garfinkle, Robert A. (2014). "Glaisher, James Whitbread Lee". In Hockey...

p o ( n ) {\displaystyle q(n)=p_{o}(n)} . This is generalized as Glaisher's theorem, which states that the number of partitions with no more than d-1...

{p-1}}\equiv 1{\pmod {p^{4}}}.} If p is a Wolstenholme prime, then Glaisher's theorem holds modulo p4. The only known Wolstenholme primes so far are 16843...

Gershgorin circle theorem (matrix theory) Gibbard–Satterthwaite theorem (voting methods) Girsanov's theorem (stochastic processes) Glaisher's theorem (number theory)...

was proved by Leonhard Euler in 1748 and later was generalized as Glaisher's theorem. For every type of restricted partition there is a corresponding function...

sampling formula Ferrers graph Glaisher's theorem Landau's function Partition function (number theory) Pentagonal number theorem Plane partition Quotition...

Higher-dimensional versions of this theorem also appear in quantum physics through Feynman diagrams. A similar result was also obtained by Glaisher. An alternative formulation...

Routh's theorem determines the ratio of areas between a given triangle and a triangle formed by the pairwise intersections of three cevians. The theorem states...

The fundamental theorem of finitely generated abelian groups can be stated two ways, generalizing the two forms of the fundamental theorem of finite abelian...

multiplication theorem.[clarification needed] The next contributor of importance is Binet (1811, 1812), who formally stated the theorem relating to the...

square with sides of one unit of length; this follows from the Pythagorean theorem. It was probably the first number known to be irrational. Its numerical...

{\displaystyle A\approx 1.28243} is the Glaisher–Kinkelin constant. According to an analogue of Wilson's theorem on the behavior of factorials modulo prime...

known as Alhazen, c. 965 – c. 1040) was the first to formulate Wilson's theorem connecting the factorials with the prime numbers. In Europe, although Greek...

group a series reordering of the series does not happen, so Riemann series theorem does not apply. A new series will have its partial sums as subsequence...

evaluated in closed form in terms of elementary functions (see Liouville's theorem), but by expanding the integrand e−z2 into its Maclaurin series and integrating...

occur in the structure theorem for finitely generated modules over a principal ideal domain, which includes the fundamental theorem of finitely generated...

mathematician, known for his dissection-based proof of the Pythagorean theorem and for his unorthodox belief that the moon does not rotate. Perigal descended...

z)+{\frac {z^{2}-z}{2}}\right]} where A is the Glaisher constant. Similar to the Bohr-Mollerup Theorem for the gamma function, the log K-function is the...

Kronecker–Weber theorem (theorem 131), the Hilbert–Speiser theorem (theorem 132), and the Eisenstein reciprocity law for lth power residues (theorem 140) . Part...

Scientific, ISBN 978-981-256-080-3, OCLC 492669517, theorem 4.1 P. T. Bateman & Diamond 2004, Theorem 8.15 Slomson, Alan B. (1991), An introduction to combinatorics...

Mathematical Association of America. p. 33. Glaisher, James Whitbread Lee (1899). "On the residue of a binomial-theorem coefficient with respect to a prime modulus"...

(1749–1827) who introduced (as principle VI) what is now called Bayes' theorem and applied it to celestial mechanics, medical statistics, reliability...

doi:10.2307/2324898, JSTOR 2324898, MR 1157222. Glaisher, J. W. L. (1899), "On the residue of a binomial-theorem coefficient with respect to a prime modulus"...

of Fermat's Last Theorem," Mathematics of Computation 64 (1995): 363-392. James Whitbread Lee Glaisher, "A General Congruence Theorem relating to the Bernoullian...

The calculation of the Meissel–Mertens constant The third of Mertens' theorems* Solution of the second kind to Bessel's equation In the regularization/renormalization...

{1}{2}}}G\left(2x\right)} , where A {\displaystyle A} is the Glaisher–Kinkelin constant. Similar to the Bohr–Mollerup theorem for the gamma function, for a constant c >...

numbers, are not known with high precision. The constant in the Berry–Esseen Theorem: 0.4097 < C < 0.4748 De Bruijn–Newman constant: 0 ≤ Λ ≤ 0.2 Chaitin's constants...

incorporates all the information known to date. By Aumann's agreement theorem, Bayesian agents whose prior beliefs are similar will end up with similar...

and additional values are: It is known that ζ(3) is irrational (Apéry's theorem) and that infinitely many of the numbers ζ(2n + 1) : n ∈ N {\displaystyle...