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...

astronomer. He is known for Glaisher's theorem, an important result in the field of integer partitions, and for the Glaisher–Kinkelin constant, a number...

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...

Franel–Landau theorem (number theory) Gelfond–Schneider theorem (transcendental number theory) Glaisher's theorem (number theory) Green–Tao theorem (number...

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...

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...

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

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...

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...

{\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...

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...

{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 >...

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

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...

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"...

4n+1} ex duobus quadratis." In it he proves in an original manner the theorem of Fermat---"That every prime number of the form 4 n + 1 {\displaystyle...

square with sides of one unit of length; this follows from the Pythagorean theorem. It is an irrational number, possibly the first number to be known as such...

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

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...

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...

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

in dimensions four and higher, and for his generalization of Descartes' theorem on tangent circles to four and higher dimensions. Thorold Gosset was born...

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

limit, or to diverge. These claims are the content of the Riemann series theorem. A historically important example of conditional convergence is the alternating...

)\right]=\sum _{k=2}^{\infty }{{\ln k} \over {k^{2}}}} {\displaystyle } Lochs' theorem Lévy's constant Knuth, Donald E. (1976), "Evaluation of Porter's constant"...

(PDF) on 2016-04-19. Retrieved 2015-02-28. Robin Whitty. Lieb's Square Ice Theorem (PDF). Ivan Niven. Averages of exponents in factoring integers (PDF). Steven...