Nikolaos Diamantis

Contact

• workRoom C22 The Mathematical Sciences Building
  University Park
  Nottingham
  NG7 2RD
  UK
• work0115 9514955
• fax0115 9514951
• nikolaos.diamantis@nottingham.ac.uk

Selected Publications

• DIAMANTIS, NIKOLAOS, 2022. Modular iterated integrals associated with cusp forms Forum Math.. 34(1), 157-174
• DIAMANTIS, NIKOLAOS and ROLEN, LARRY, 2021. Eichler cohomology and zeros of polynomials associated to derivatives of $L$-functions J. Reine Angew. Math.. 770, 1-25
• DIAMANTIS, NIKOLAOS, 2020. Kernels of $L$-functions and shifted convolutions Proc. Amer. Math. Soc.. 148(12), 5059-5070
• DIAMANTIS, NIKOLAOS and DREWITT, JOSHUA, 2020. Period functions associated to real-analytic modular forms Res. Math. Sci.. 7(3), Paper No. 21, 23

• View all publications

• JAMES BRANCH, NIKOLAOS DIAMANTIS, WISSAM RAJI and LARRY ROLEN, 2024. Period-like polynomials for L-series associated with half-integral weight cusp forms Research in the Mathematical Sciences. 11(3), 44
• NIKOLAOS DIAMANTIS, 2024. L-values of harmonic Maass forms Transactions of the American Mathematical Society. 377, 3905-3926
• NIKOLAOS DIAMANTIS and MIN LEE, 2023. Analogues of the Bol operator for half-integral weight weakly holomorphic modular forms Proceedings of the American Mathematical Society. 152, 37-51
• NIKOLAOS DIAMANTIS, MIN LEE and WISSAM RAJI, 2023. L-Series of Harmonic Maass Forms and a Summation Formula for Harmonic Lifts International Mathematics Research Notices. 15729-15765
• DIAMANTIS, NIKOLAOS, 2022. Modular iterated integrals associated with cusp forms Forum Math.. 34(1), 157-174
• NIKOLAOS DIAMANTIS, 2022. Derivatives of L-series of weakly holomorphic cusp forms Research in the Mathematical Sciences. 9(4), 64
• DIAMANTIS, NIKOLAOS and ROLEN, LARRY, 2021. Eichler cohomology and zeros of polynomials associated to derivatives of $L$-functions J. Reine Angew. Math.. 770, 1-25
• DIAMANTIS, NIKOLAOS, 2020. Kernels of $L$-functions and shifted convolutions Proc. Amer. Math. Soc.. 148(12), 5059-5070
• DIAMANTIS, NIKOLAOS and DREWITT, JOSHUA, 2020. Period functions associated to real-analytic modular forms Res. Math. Sci.. 7(3), Paper No. 21, 23
• DIAMANTIS, NIKOLAOS, HOFFSTEIN, JEFFREY, KI RAL, EREN MEHMET and LEE, MIN, 2020. Additive twists and a conjecture by Mazur, Rubin and Stein J. Number Theory. 209, 1-36
• KATHRIN BRINGMANN, NIKOLAOS DIAMANTIS and STEPHAN EHLEN, 2018. Regularized inner products and Eichler cocycles Int. Math. Res. Notices. (In Press.)
• NIKOLAOS DIAMANTIS and LARRY ROLEN, 2018. Period polynomials, derivatives of L-functions, and zeros of polynomials Research in Mathematical Sciences. 5(9),
• DIAMANTIS, NIKOLAOS and ROLEN, LARRY, 2018. Period polynomials, derivatives of $L$-functions, and zeros of polynomials Res. Math. Sci.. 5(1), Paper No. 9, 15
• BRUGGEMAN, ROELOF, CHOIE, YOUNGJU and DIAMANTIS, NIKOLAOS, 2018. Holomorphic automorphic forms and cohomology Mem. Amer. Math. Soc.. 253(1212), vii+167
• BRUGGEMAN, ROELOF, CHOIE, YOUNGJU and DIAMANTIS, NIKOLAOS, 2018. Holomorphic automorphic forms and cohomology Mem. Amer. Math. Soc.. 253(1212), vii+167
• BRINGMANN, KATHRIN, DIAMANTIS, NIKOLAOS and EHLEN, STEPHAN, 2017. Regularized inner products and errors of modularity Int. Math. Res. Not. IMRN. 7420-7458
• BRUGGEMAN, ROELOF and DIAMANTIS, NIKOLAOS, 2016. Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition J. Number Theory. 167, 317-335
• DIAMANTIS, NIKOLAOS, NEURURER, MICHAEL and STR'OMBERG, FREDRIK, 2015. A correspondence of modular forms and applications to values of L-series Res. Number Theory. 1, Paper No. 27, 12
• DIAMANTIS, NIKOLAOS and GOLDFELD, DORIAN, 2014. A converse theorem for double Dirichlet series and Shintani zeta functions J. Math. Soc. Japan. 66(2), 449-477
• DIAMANTIS, NIKOLAOS and O'SULLIVAN, CORMAC, 2013. Kernels for products of $L$-functions Algebra Number Theory. 7(8), 1883-1917
• BRINGMANN, KATHRIN, DIAMANTIS, NIKOLAOS and RAUM, MARTIN, 2013. Mock period functions, sesquiharmonic Maass forms, and non-critical values of $L$-functions Adv. Math.. 233, 115-134
• BLANN, THOMAS and DIAMANTIS, NIKOLAOS, 2013. Second-order modular forms with characters. In: From Fourier analysis and number theory to Radon transforms and geometry 28. Springer, New York. 55-66
• DIAMANTIS, NIKOLAOS and BLANN, THOMAS, 2012. Second order modular forms with characters In: From Fourier Analysis and Number Theory to Radon Transforms and Geometry; In memory of Leon Ehrenpreis. 55-66
• BRUGGEMAN, ROELOF and DIAMANTIS, NIKOLAOS, 2012. Higher-order Maass forms Algebra Number Theory. 6(7), 1409-1458
• DIAMANTIS, NIKOLAOS and GOLDFELD, DORIAN, 2011. A converse theorem for double Dirichlet series Amer. J. Math.. 133(4), 913-938
• DEITMAR, ANTON and DIAMANTIS, NIKOLAOS, 2010. A new multiple Dirichlet series induced by a higher-order form Acta Arith.. 142(4), 303-309
• DIAMANTIS, NIKOLAOS and O'SULLIVAN, CORMAC, 2010. Kernels of $L$-functions of cusp forms Math. Ann.. 346(4), 897-929
• DIAMANTIS, NIKOLAOS and KLEBAN, PETER, 2009. New percolation crossing formulas and second-order modular forms Commun. Number Theory Phys.. 3(4), 677-696
• DEITMAR, ANTON and DIAMANTIS, NIKOLAOS, 2009. Automorphic forms of higher order J. Lond. Math. Soc. (2). 80(1), 18-34
• DIAMANTIS, N. and SIM, D., 2008. The classification of higher-order cusp forms Journal für die reine und angewandte Mathematik. 2008(622), 121-153
• DIAMANTIS, NIKOLAOS and SIM, DAVID, 2008. The classification of higher-order cusp forms J. Reine Angew. Math.. 622, 121-153
• DIAMANTIS, NIKOLAOS and O'SULLIVAN, CORMAC, 2008. The dimensions of spaces of holomorphic second-order automorphic forms and their cohomology Trans. Amer. Math. Soc.. 360(11), 5629-5666
• CHOIE, YOUNGJU and DIAMANTIS, NIKOLAOS, 2007. Values of $L$-functions at integers outside the critical strip Ramanujan J.. 14(3), 339-350
• CHOIE, YJ and DIAMANTIS, N., 2006. Rankin-Cohen brackets on higher order modular forms In: Proceedings of the Bretton Woods Workshop on Multiple Dirichlet Series. 193–201
• DIAMANTIS, N., KNOPP, M., MASON, G. and O'SULLIVAN, C., 2006. $L$-functions of second-order cusp forms Ramanujan J.. 12(3), 327-347
• CHOIE, Y. and DIAMANTIS, N., 2006. Rankin-Cohen brackets on higher order modular forms. In: Multiple Dirichlet series, automorphic forms, and analytic number theory 75. Amer. Math. Soc., Providence, RI. 193-201
• DIAMANTIS, NIKOLAOS and SREEKANTAN, RAMESH, 2006. Iterated integrals and higher order automorphic forms Comment. Math. Helv.. 81(2), 481-494
• DIAMANTIS, NIKOLAOS, 2005. The geometry of certain cocycles associated to derivatives of $L$-functions Forum Math.. 17(5), 735-752
• CHINTA, G., DIAMANTIS, N. and O'SULLIVAN, C., 2002. Second order modular forms Acta Arith.. 103(3), 209-223
• DIAMANTIS, NIKOLAOS, 2001. Hecke operators and derivatives of $L$-functions Compositio Math.. 125(1), 39-54
• DIAMANTIS, NIKOLAOS and O'SULLIVAN, CORMAC, 2000. Hecke theory of series formed with modular symbols and relations among convolution $L$-functions Math. Ann.. 318(1), 85-105
• DIAMANTIS, NIKOLAOS, 1999. Special values of higher derivatives of $L$-functions Forum Math.. 11(2), 229-252