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searching for Multiplicative number theory 43 found (49 total)

alternate case: multiplicative number theory

Hugh Lowell Montgomery (792 words) [view diff] case mismatch in snippet view article find links to article

and completed his Ph.D. in 1972. His dissertation, Topics in Multiplicative Number Theory, was supervised by Harold Davenport. He became an assistant professor

Harold Davenport (956 words) [view diff] exact match in snippet view article find links to article

2nd edition. Cambridge University Press. ISBN 0-521-60583-0. Multiplicative number theory (1967) 2nd edition (revised by Hugh L. Montgomery) The collected

Bob Vaughan (279 words) [view diff] exact match in snippet view article find links to article

ISBN 978-0-521-57347-4. Hugh L. Montgomery; Robert C. Vaughan (2007). Multiplicative number theory I. Classical theory. Cambridge tracts in advanced mathematics

Dirichlet L-function (1,629 words) [view diff] case mismatch in snippet view article find links to article

Press, ISBN 978-0-521-19225-5, MR 2723248. Davenport, H. (2000). Multiplicative Number Theory (3rd ed.). Springer. ISBN 0-387-95097-4. Dirichlet, P. G. L.

Landau prime ideal theorem (396 words) [view diff] exact match in snippet view article find links to article

S2CID 119669682. Hugh L. Montgomery; Robert C. Vaughan (2007). Multiplicative number theory I. Classical theory. Cambridge tracts in advanced mathematics

Heini Halberstam (435 words) [view diff] exact match in snippet view article find links to article

Chandrasekharan; Arithmetical functions, by K. Chandrasekharan; Multiplicative number theory, by Harold Davenport; Sequences, by H. Halberstam and K. F. Roth"

Lambert summation (558 words) [view diff] exact match in snippet view article find links to article

ISBN 3-540-21058-X. Hugh L. Montgomery; Robert C. Vaughan (2007). Multiplicative number theory I. Classical theory. Cambridge tracts in advanced mathematics

Adolf Piltz (125 words) [view diff] exact match in snippet view article find links to article

Neuenhahn. 1908. p. 25. Davenport, p. 124. Davenport, Harold. Multiplicative number theory. Third edition. Revised and with a preface by Hugh L. Montgomery

Pi (letter) (1,255 words) [view diff] case mismatch in snippet view article

than or equal to... "DLMF: §27.12 Asymptotic Formulas: Primes ‣ Multiplicative Number Theory ‣ Chapter 27 Functions of Number Theory". dlmf.nist.gov. Retrieved

Wiener–Ikehara theorem (413 words) [view diff] exact match in snippet view article find links to article

ISBN 3-540-04141-9. Hugh L. Montgomery; Robert C. Vaughan (2007). Multiplicative number theory I. Classical theory. Cambridge tracts in advanced mathematics

Mu (letter) (1,651 words) [view diff] case mismatch in snippet view article

wolfram.com. Retrieved 2025-01-24. "DLMF: §27.2 Functions ‣ Multiplicative Number Theory ‣ Chapter 27 Functions of Number Theory". dlmf.nist.gov. Retrieved

Character sum (710 words) [view diff] exact match in snippet view article find links to article

Zbl 0362.10036. Montgomery, Hugh L.; Vaughan, Robert C. (2007). Multiplicative number theory I. Classical theory. Cambridge tracts in advanced mathematics

Gauss sum (918 words) [view diff] exact match in snippet view article find links to article

109(3):569–581, 1979. Theorem 9.10 in H. L. Montgomery, R. C. Vaughan, Multiplicative number theory. I. Classical theory, Cambridge Studies in Advanced Mathematics

Generalized Riemann hypothesis (1,330 words) [view diff] case mismatch in snippet view article find links to article

Selberg class Grand Riemann hypothesis Davenport, Harold (2000). Multiplicative Number Theory. Graduate Texts in Mathematics. Vol. 74. Revised and with a preface

Large sieve (871 words) [view diff] case mismatch in snippet view article find links to article

ISBN 0-521-61275-6. Zbl 1121.11063. Davenport, Harold (2000). Multiplicative Number Theory. Graduate Texts in Mathematics. Vol. 74. Revised and with a preface

Class number formula (1,302 words) [view diff] case mismatch in snippet view article find links to article

2012. Davenport, Harold (2000). Montgomery, Hugh L. (ed.). Multiplicative Number Theory. Graduate Texts in Mathematics. Vol. 74 (3rd ed.). New York:

Gaussian period (1,130 words) [view diff] case mismatch in snippet view article find links to article

Gauss sums have nicer algebraic properties. H. Davenport, H.L. Montgomery (2000). Multiplicative Number Theory. Springer. p. 18. ISBN 0-387-95097-4.

Abelian and Tauberian theorems (946 words) [view diff] exact match in snippet view article find links to article

Zbl 1056.40002. Montgomery, Hugh L.; Vaughan, Robert C. (2007). Multiplicative number theory I. Classical theory. Cambridge Studies in Advanced Mathematics

K. S. Chandrasekharan (583 words) [view diff] exact match in snippet view article find links to article

Chandrasekharan; Arithmetical functions, by K. Chandrasekharan; Multiplicative number theory, by Harold Davenport; Sequences, by H. Halberstam and K. F. Roth"

Abstract analytic number theory (1,199 words) [view diff] exact match in snippet view article find links to article

Zbl 0743.11002. Montgomery, Hugh L.; Vaughan, Robert C. (2007). Multiplicative number theory I. Classical theory. Cambridge studies in advanced mathematics

Hankel contour (776 words) [view diff] exact match in snippet view article find links to article

ISSN 0036-1429. Hugh L. Montgomery; Robert C. Vaughan (2007). Multiplicative number theory I. Classical theory. Cambridge tracts in advanced mathematics

Tianxin Cai (488 words) [view diff] exact match in snippet view article find links to article

full professor in Zhejiang University since 1998. Additive and multiplicative number theory, perfect numbers, congruence modulo integer power, Witten zeta

Sawtooth wave (1,102 words) [view diff] exact match in snippet view article find links to article

November 2021. Hugh L. Montgomery; Robert C. Vaughan (2007). Multiplicative number theory I. Classical theory. Cambridge tracts in advanced mathematics

Siegel zero (3,952 words) [view diff] case mismatch in snippet view article find links to article

Siegel zeros". arXiv:2010.01211 [math.NT]. Davenport, H. (1980). Multiplicative Number Theory. Graduate Texts in Mathematics. Vol. 74. doi:10.1007/978-1-4757-5927-3

Divisor summatory function (1,936 words) [view diff] case mismatch in snippet view article find links to article

{\displaystyle k\geq 2} . Montgomery, Hugh; R. C. Vaughan (2007). Multiplicative Number Theory I: Classical Theory. Cambridge: Cambridge University Press.

Number theory (10,351 words) [view diff] case mismatch in snippet view article find links to article

Retrieved 2016-02-28. Davenport, Harold; Montgomery, Hugh L. (2000). Multiplicative Number Theory. Graduate Texts in Mathematics. Vol. 74 (revised 3rd ed.). Springer

Dirichlet convolution (2,548 words) [view diff] exact match in snippet view article find links to article

ISBN 978-981-4271-36-3. Hugh L. Montgomery; Robert C. Vaughan (2007). Multiplicative number theory I. Classical theory. Cambridge tracts in advanced mathematics

Vaughan's identity (1,456 words) [view diff] case mismatch in snippet view article find links to article

Angew. Math. 310: 110–130. Davenport, Harold (31 October 2000). Multiplicative Number Theory (Third ed.). New York: Springer Graduate Texts in Mathematics

Prime number theorem (9,139 words) [view diff] exact match in snippet view article find links to article

Terence (10 December 2014). "254A, Notes 2: Complex-analytic multiplicative number theory". Terence Tao's blog. Edwards, Harold M. (2001). Riemann's zeta

Graduate Texts in Mathematics (5,035 words) [view diff] case mismatch in snippet view article find links to article

Algebra, Thomas W. Hungerford (1974, ISBN 978-0-387-90518-1) Multiplicative Number Theory, Harold Davenport, Hugh Montgomery (2000, 3rd ed., ISBN 978-0-387-95097-6)

Prime omega function (4,100 words) [view diff] exact match in snippet view article find links to article

University Press. H. L. Montgomery and R. C. Vaughan (2007). Multiplicative number theory I. Classical theory (1st ed.). Cambridge University Press. Schmidt

Bertrand's postulate (2,606 words) [view diff] exact match in snippet view article find links to article

Monthly, 112: 492 Hugh L. Montgomery; Robert C. Vaughan (2007). Multiplicative number theory I. Classical theory. Cambridge tracts in advanced mathematics

Euler–Maclaurin formula (3,779 words) [view diff] exact match in snippet view article find links to article

S2CID 123419717. Montgomery, Hugh L.; Vaughan, Robert C. (2007). Multiplicative number theory I. Classical theory. Cambridge tracts in advanced mathematics

Chebyshev function (2,342 words) [view diff] case mismatch in snippet view article find links to article

Mathematica, 41 (1916) pp. 119–196. ^ Davenport, Harold (2000). In Multiplicative Number Theory. Springer. p. 104. ISBN 0-387-95097-4. Google Book Search. Apostol

Kronecker symbol (1,722 words) [view diff] exact match in snippet view article find links to article

Berlin: 761–784 Montgomery, Hugh L; Vaughan, Robert C. (2007). Multiplicative number theory. I. Classical theory. Cambridge Studies in Advanced Mathematics

Bernoulli polynomials (4,328 words) [view diff] exact match in snippet view article find links to article

transcendent.) Hugh L. Montgomery; Robert C. Vaughan (2007). Multiplicative number theory I. Classical theory. Cambridge tracts in advanced mathematics

Hurwitz zeta function (4,190 words) [view diff] exact match in snippet view article find links to article

relationship to polygamma function.) Davenport, Harold (1967). Multiplicative number theory. Lectures in advanced mathematics. Vol. 1. Chicago: Markham.

Quadratic residue (5,539 words) [view diff] case mismatch in snippet view article find links to article

York: Springer, ISBN 0-387-94777-9 Davenport, Harold (2000), Multiplicative Number Theory (third ed.), New York: Springer, ISBN 0-387-95097-4 Garey, Michael

Euler's constant (9,583 words) [view diff] case mismatch in snippet view article find links to article

Sequences. OEIS Foundation. Ramaré, Olivier (2022). Excursions in Multiplicative Number Theory. Birkhäuser Advanced Texts: Basel Textbooks. Basel: Birkhäuser/Springer

Riemann zeta function (10,674 words) [view diff] case mismatch in snippet view article find links to article

de Gruyter. Montgomery, Hugh L.; Vaughan, Robert C. (2007). Multiplicative Number Theory. I. Classical theory. Cambridge tracts in advanced mathematics

Riemann hypothesis (16,749 words) [view diff] case mismatch in snippet view article find links to article

MR 0820245 Montgomery, Hugh L.; Vaughan, Robert C. (2007), Multiplicative Number Theory I. Classical Theory, Cambridge studies in advanced mathematics

Average order of an arithmetic function (4,093 words) [view diff] case mismatch in snippet view article find links to article

ISBN 0-387-95335-3 Hugh L. Montgomery; Robert C. Vaughan (2006), Multiplicative Number Theory, Cambridge University Press, ISBN 978-0521849036 Michael Baakea;

Dirichlet character (11,547 words) [view diff] exact match in snippet view article find links to article

semigroups". J. Indian Math. Soc. 20: 11–15. Davenport, Harold (1967). Multiplicative number theory. Lectures in advanced mathematics. Vol. 1. Chicago: Markham.