References

Home Description Pair Correlation Triple Correlation Tables References

  1. Surfaces Associated to Zeros of Automorphic L-functions (Debmalya Basak Cruz Castillo & Alexandru Zaharescu), in preparation.

  2. The LMFDB Collaboration. The L-functions and modular forms database. https://www.lmfdb. org. 2023.

  3. Nicholas M. Katz and Peter Sarnak. “Zeroes of Zeta Functions and Symmetry”. In: American Mathematical Society. Bulletin. New Series 36.1 (1999), pp. 1–26. ISSN: 0273-0979,1088-9485.

  4. H. L. Montgomery. “The Pair Correlation of Zeros of the Zeta Function”. In: Analytic Number Theory (Proc. Sympos. Pure Math., Vol. XXIV, St. Louis Univ., St. Louis, Mo., 1972). Amer. Math. Soc., Providence, R.I., 1973, pp. 181–193.

  5. M. R. Murty and A. Zaharescu. “Explicit Formulas for the Pair Correlation of Zeros of Functions in the Selberg Class”. In: Forum Mathematicum 14.1 (2002), pp. 65–83. ISSN: 0933-7741

  6. David J. Platt. “Computing π (x) Analytically”. In: Mathematics of Computation 84.293 (2015), pp. 1521–1535. ISSN: 0025-5718,1088-6842

  7. Michael Rubinstein. L-function c++ class library and, the command line program lcalc. 2014. URL: https://github.com/agrawroh/l-calc. org.

  8. Z. Rudnick and P. Sarnak. “Zeros of Principal L-functions and Random Matrix Theory”. In: Duke Mathematical Journal. Vol. 81. 2. 1996, pp. 269–322.