Explicit number theory, automorphic forms and L-functions

Research output

Research output per year 2011 2013 2016 2018

• 16 Article (Academic Journal)

Research output per year

Research output per year

Search results

• 2018

  Rapid computation of L-functions attached to Maass forms

  Booker, A. R. & Then, H. L., Jun 2018, In: International Journal of Number Theory. 14, 5, p. 1459-1485 27 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Algorithms 100%
  • Algorithm 100%
  • L-Function 100%
  • Value 50%
  • Shape 50%
  3 Citations (Scopus)

  134 Downloads (Pure)
• 2017

  The Selberg trace formula as a Dirichlet series

  Booker, A. R. & Lee, M., May 2017, In: Forum Mathematicum. 29, 3, p. 519-542 24 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Dirichlet Series 100%
  • Selberg Trace Formula 66%
  • L-Function 33%
  • Complete 33%
  • Weighted Sum 33%
  3 Citations (Scopus)

  293 Downloads (Pure)
• 2016

  A converse theorem for GL(n)

  Booker, A. R. & Krishnamurthy, M., 25 Jun 2016, In: Advances in Mathematics. 296, p. 154-180 27 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Number 100%
  • Complete 100%
  • Automorphic Representation 100%
  • Data Analytics 100%
  2 Citations (Scopus)

  248 Downloads (Pure)

• A database of genus-2 curves over the rational numbers

  Booker, A. R., Sijsling, J., Sutherland, A. V., Voight, J. & Yasaki, D., 2016, In: LMS Journal of Computation and Mathematics. 19, A, p. 235-254 20 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Curve 100%
  • Database 100%
  • Data Base 100%
  • L-Function 66%
  • Invariant 33%
  23 Citations (Scopus)

  291 Downloads (Pure)

• Kronecker's limit formula, holomorphic modular functions and q-expansions on certain moonshine groups

  Jorgenson, J., Smajlović, L. & Then, H. L., 2016, In: Experimental Mathematics. 25, 3, p. 295-319

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Integer Coefficient 100%
  • Integer 50%
  • Order 50%
  • Points 50%
  • Curve 50%
  13 Citations (Scopus)

  242 Downloads (Pure)

• Simple zeros of degree 2 L-functions

  Booker, A. R., Apr 2016, In: Journal of the European Mathematical Society. 18, 4, p. 813-823 11 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Zeros 100%
  • L-Function 100%
  • Complete 50%
  3 Citations (Scopus)

  238 Downloads (Pure)

• The Euclid-Mullin graph

  Booker, A. R. & Irvine, S., Aug 2016, In: Journal of Number Theory. 165, p. 30-57 28 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Graph 100%
  • Euclid 100%
  • Trees 50%
  • Structural Property 50%
  2 Citations (Scopus)

  250 Downloads (Pure)
• 2015

  Detecting squarefree numbers

  Booker, A. R., Hiary, G. & Keating, J. P., 30 Jan 2015, In: Duke Mathematical Journal. 164, 2, p. 235-275 41 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Algorithm 100%
  • Number 100%
  • Integer 50%
  • Explicit Formula 50%
  • Conditionals 50%
  4 Citations (Scopus)

  342 Downloads (Pure)

• L-functions as distributions

  Booker, A., 8 Feb 2015, In: Mathematische Annalen. 363, 1, p. 423-454 32 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • L-Function 100%
  • Classes 66%
  • Zeros 33%
  • Explicit Formula 33%
  • Functional Equation 33%
  5 Citations (Scopus)

  240 Downloads (Pure)
• 2014

  Real zeros of Artin L-functions corresponding to five-dimensional S-5-representations

  Dwyer, J., Feb 2014, In: Bulletin of the London Mathematical Society. 46, p. 51-58 8 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • L-Function 100%
  • test function φ 50%
  • Computational 50%
  • Explicit Formula 50%
  • Additional Condition 50%
  2 Citations (Scopus)

• Zeros of L-functions outside the critical strip

  Booker, A. R. & Thorne, F., Dec 2014, In: Algebra and Number Theory. 8, 9, p. 2027-2042 16 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • L-Function 100%
  • Zeros 50%
  • Modular Form 50%
  • Critical Strip 50%
  • Dirichlet Series 50%
  7 Citations (Scopus)

  246 Downloads (Pure)
• 2013

  Bounds and algorithms for the K-Bessel function of imaginary order

  Booker, A. R., Strömbergsson, A. & Then, H. L., 2013, In: LMS Journal of Computation and Mathematics. 16, p. 78-108 31 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Order 100%
  • Bounds 100%
  • Derivatives 100%
  • Constant 66%
  • Computation 66%
  5 Citations (Scopus)

  309 Downloads (Pure)

• Further refinements of the GL(2) converse theorem

  Booker, A. R. & Krishnamurthy, M., Oct 2013, In: Bulletin of the London Mathematical Society. 45, 5, p. 987-1003 17 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Poles 100%
  • Eisenstein Series 100%
  2 Citations (Scopus)

  340 Downloads (Pure)

• Weil's converse theorem with poles

  Booker, AR. & Krishnamurthy, M., 2013, In: International Mathematics Research Notices. 2014, 19, p. 5328–5339 10 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  Open Access

  File

  • Poles 100%
  • Characters 50%
  478 Downloads (Pure)
• 2012

  On Mullin's second sequence of primes

  Booker, AR., 2012, In: Integers. 8 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Sequences 100%
  • Prime Number 50%
  • Euclid 50%
  • Omits 50%
• 2011

  A strengthening of the GL(2) converse theorem

  Booker, AR. & Krishnamurthy, M., May 2011, In: Compositio Mathematica. 147, 3, p. 669 - 715 47 p.

  Research output: Contribution to journal › Article (Academic Journal) › peer-review

  • Classes 100%
  • Characters 100%
  • Poles 100%
  • L-Function 100%
  11 Citations (Scopus)