analytic number theory in a sentence
1) Abstract analytic number theory for information about generalizations of the theorem.
analytic collocations
2) In analytic number theory , techniques from continuous mathematics are also used.
3) Such comparisons of iterated logarithms are common, e.g., in analytic number theory .
analytic number theory example sentences
4) Like the zeta function, Dirichlet series in general play an important role in analytic number theory .5) Extremal combinatorics owes to him a whole approach, derived in part from the tradition of analytic number theory .
6) Algorithms in analytic number theory provides an arbitrary-precision, GMP-based, GPL-licensed implementation.
7) Research on analytic number theory , finite element method, statistics, topology, graph theory etc. are being carried out.
8) It incorporates the bijective approach and various tools in analysis, analytic number theory , and has connections with statistical mechanics.
9) The first one (chronologically) is used in analytic number theory , and the other one in computational complexity theory.
10) However, analytic number theory has had many conjectures supported by large amounts of numerical evidence that turn out to be false.
11) In doing so, he united two disparate branches of mathematics and introduced a new field of study, analytic number theory .
12) Peter Gustav Lejeune Dirichlet developed Dirichlet "L"-functions to give the proof of Dirichlet's theorem on arithmetic progressions and began analytic number theory .
13) Their interest was obvious enough from within number theory: they implied upper bounds for exponential sums, a basic concern in analytic number theory .
14) These three symbols __FORMULA__, as well as __FORMULA__ (meaning that __FORMULA__ and __FORMULA__ are both satisfied), are now currently used in analytic number theory .
15) The Riemann zeta function plays a pivotal role in analytic number theory and has applications in physics, probability theory, and applied statistics.
example sentences with analytic number theory
16) One may ask analytic questions about algebraic numbers, and use analytic means to answer such questions; it is thus that algebraic and analytic number theory intersect.17) The theory of modular forms (and, more generally, automorphic forms) also occupies an increasingly central place in the toolbox of analytic number theory .
18) Some of the most important tools of analytic number theory are the circle method, sieve methods and L-functions (or, rather, the study of their properties).
19) Hilbert did not work in the central areas of analytic number theory , but his name has become known for the Hilbert-Pólya conjecture, for reasons that are anecdotal.
20) This led to new branches of number theory such as analytic number theory , algebraic number theory, Diophantine geometry and arithmetic algebraic geometry.
21) "First steps towards analytic number theory .
22) " analytic number theory " may be defined
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